FOOTNOTES:[1]These reflections were suggested to Tacitus by the conduct of Thrasyllus (chief astrologer of the Emperor Tiberius), when his skill was tested by his imperial employer after a manner characteristic of that agreeable monarch. The story runs thus (I follow Whewell's version): 'Those who were brought to Tiberius on any important matter, were admitted to an interview in an apartment situated on a lofty cliff in the island of Capreæ. They reached this place by a narrow path, accompanied by a single freedman of great bodily strength; and on their return, if the emperor had conceived any doubts of their trustworthiness, a single blow buried the secret and its victim in the ocean below. After Thrasyllus had, in this retreat, stated the results of his art as they concerned the emperor, Tiberius asked him whether he had calculated how long he himself had to live. The astrologer examined the aspect of the stars, and while he did this showed hesitation, alarm, increasing terror, and at last declared that "The present hour was for him critical, perhaps fatal." Tiberius embraced him, and told him "he was right in supposing he had been in danger, but that he should escape it," and made him henceforward his confidential counsellor.' It is evident, assuming the story to be true (as seems sufficiently probable), that the emperor was no match for the charlatan in craft. It was a natural thought on the former's part to test the skill of his astrologer by laying for him a trap such as the story indicates—a thought so natural, indeed, that it probably occurred to Thrasyllus himself long before Tiberius put the plan into practice. Even if Thrasyllus had not been already on the watch for such a trick, he would have been but a poor trickster himself if he had not detected it the moment it was attempted, or failed to see the sole safe course which was left open to him. Probably, with a man of the temper of Tiberius, such a counter-trick as Galeotti's inQuentin Durwardwould have been unsafe.[2]The belief in the influence of the stars and the planets on the fortunes of the new-born child was still rife when Shakespeare made Glendower boast:At my nativityThe front of heaven was full of fiery shapesOf burning cressets; know, that at my birthThe frame and huge foundation of the earthShook like a coward.And Shakespeare showed himself dangerously tainted with freethought in assigning (even to the fiery Hotspur) the reply:So it would have doneAt the same season, if your mother's catHad kittened, though yourself had ne'er been born.In a similar vein Butler, inHudibrasridiculed the folly of those who believe in horoscopes and nativities:As if the planet's first aspectThe tender infant did infectIn soul and body, and instilAll future good and future ill;Which in their dark fatalities lurking,At destined periods fall a-working,And break out, like the hidden seedsOf long diseases, into deeds,In friendships, enmities, and strife.And all th' emergencies of life.[3]Preface to theRudolphine Tables.[4]It is commonly stated that Bacon opposed the Copernican theory because he disliked Gilbert, who had advocated it. 'Bacon,' says one of his editors, 'was too jealous of Gilbert to entertain one moment any doctrine that he advanced.' But, apart from the incredible littleness of mind which this explanation imputes to Bacon, it would also have been an incredible piece of folly on Bacon's part to advocate an inferior theory while a rival was left to support a better theory. Bacon saw clearly enough that men were on their way to the discovery of the true theory, and, so far as in him lay, he indicated how they should proceed in order most readily to reach the truth. It must, then, have been from conviction, not out of mere contradiction, that Bacon declared himself in favour of the Ptolemaic system. In fact, he speaks of the diurnal motion of the earth as 'an opinion which we can demonstrate to be most false;' doubtless having in his thoughts some such arguments as misled Tycho Brahe.[5]To Bacon's theological contemporaries this must have seemed a dreadful heresy, and possibly in our own days the assertion would be judged scarcely less harshly, seeing that the observance of the (so-called) Sabbath depends directly upon the belief in quite another origin of the week. Yet there can be little question that the week really had its origin in astrological formulæ.[6]In Bohn's edition the word 'defective' is here used, entirely changing the meaning of the sentence. Bacon registers anAstrologia Sanaamongst the things needed for the advancement of learning, whereas he is made to say that such an astrology must be registered as defective.[7]The astrologers were exceedingly ingenious in showing that their art had given warning of the great plague and fire of London. Thus, the star which marks the Bull's northern horn—and which is described by Ptolemy as like Mars—was, they say, exactly in that part of the sign Gemini which is the ascendant of London, in 1666. Lilly, however, for whom they claim the credit of predicting the year of this calamity, laid no claim himself to that achievement; nay, specially denied that he knew when the fire was to happen. The story is rather curious. In 1651 Lilly had published hisMonarchy or no Monarchy, which contained a number of curious hieroglyphics. Amongst these were two (see frontispiece) which appeared to portend plague and fire respectively. The hieroglyphic of the plague represents three dead bodies wrapped in death-clothes, and for these bodies two coffins lie ready and two graves are being dug; whence it was to be inferred that the number of deaths would exceed the supply of coffins and graves. The hieroglyphic of the fire represents several persons, gentlefolk on one side and commonfolk on the other, emptying water vessels on a furious fire into which two children are falling headlong. The occurrence of the plague in 1665 attracted no special notice to Lilly's supposed prediction of that event, though probably many talked of the coincidence as remarkable. But when in 1666 the great fire occurred, the House of Commons summoned Lilly to attend the committee appointed to enquire into the cause of the fire. 'At two of the clock on Friday, the 25th of October 1666,' he attended in the Speaker's chamber, 'to answer such questions as should then and there be asked him.' Sir Robert Brooke spoke to this effect: 'Mr. Lilly, this committee thought fit to summon you to appear before them this day, to know if you can say anything as to the cause of the late fire, or whether there might be any design therein. You are called the rather hither, because in a book of yours long since printed, you hinted some such thing by one of your hieroglyphics.' Unto which he replied: 'May it please your honours, after the beheading of the late king, considering that in the three subsequent years the Parliament acted nothing which concerned the settlement of the nation's peace, and seeing the generality of the people dissatisfied, the citizens of London discontented, and the soldiery prone to mutiny, I was desirous, according to the best knowledge God had given me, to make enquiry by the art I studied, what might, from that time, happen unto the Parliament and nation in general. At last, having satisfied myself as well as I could, and perfected my judgment therein, I thought it most convenient to signify my intentions and conceptions thereof in forms, shapes, types, hieroglyphics, etc., without any commentary, that so my judgment might be concealed from the vulgar, and made manifest only unto the wise; I herein imitating the examples of many wise philosophers who had done the like. Having found, sir, that the great city of London should be sadly afflicted with a great plague, and not long after with an exorbitant fire, I framed these two hieroglyphics, as represented in the book, which in effect have proved very true.' 'Did you foresee the year?' said one. 'I did not,' said Lilly; 'nor was desirous; of that I made no scrutiny. Now, sir, whether there was any design of burning the city, or any employed to that purpose, I must deal ingenuously with you, that since the fire I have taken much pains in the search thereof, but cannot or could not give myself the least satisfaction therein. I conclude that it was the finger of God only; but what instruments He used thereunto I am ignorant.'[8]Sir Toby Belch and Sir Andrew Aguecheek were evidently not well taught in astrology. 'Shall we set about some revels?' says the latter. 'What shall we do else?' says Toby; 'were we not born under Taurus?' 'Taurus, that's sides and heart,' says sapient Andrew. 'No, sir,' responds Toby, 'it's legs and thighs. Let me see thee caper.'[9]'This is the excellent foppery of the world, that, when we are sick in fortune (often the surfeit of our own behaviour), we make guilty of our disasters the sun, moon, and stars: as if we were villains on necessity; fools by heavenly compulsion; knaves, thieves, and treacherous by spherical predominance; drunkards, liars, and adulterers, by inforced obedience of planetary influence; and all that we are, evil, by a divine thrusting on.'—Shakespeare(King Lear).[10]There are few things more remarkable, or to reasoning minds more inexplicable, than the readiness with which men undertook in old times, and even now undertake, to interpret omens and assign prophetic significance to casual events. One can understand that foolish persons should believe in omens, and act upon the ideas suggested by their superstitions. The difficulty is to comprehend how these superstitions came into existence. For instance, who first conceived the idea that a particular line in the palm of the hand is the line of life; and what can possibly have suggested so absurd a notion? To whom did the thought first present itself that the pips on playing-cards are significant of future events; and why did he think so? How did the 'grounds' of a teacup come to acquire that deep significance which they now possess for Mrs. Gamp and Betsy Prig? If the believers in these absurdities be askedwhythey believe, they answer readily enough either that they themselves or their friends have known remarkable fulfilments of the ominous indications of cards or tea-dregs, which must of necessity be the case where millions of forecasts are daily made by these instructive methods. But the persons who first invented those means of divination can have had no such reasons. They must have possessed imaginations of singular liveliness and not wanting in ingenuity. It is a pity that we know so little of them.[11]Wellington lived too long for the astrologers, his death within the year having unfortunately been predicted by them many times during the last fifteen years of his life. Some astrologers were more cautious, however. I have before me his horoscope, carefully calculated,secundum artem, by Raphaël in 1828, with results 'sufficiently evincing the surprising verity and singular accuracy of astrological calculations, when founded on the correct time of birth, and mathematically calculated. I have chosen,' he proceeds, 'the nativity of this illustrious native, in preference to others, as the subject is now living, and, consequently, all possibility of making up any fictitious horoscope is at once set aside; thus affording me a most powerful shield against the insidious representations of the envious and ignorant traducer of my sublime science.' By some strange oversight, however, Raphaël omits to mention anything respecting the future fortunes of Wellington, showing only how wonderfully Wellington's past career had corresponded with his horoscope.[12]'I have still observed,' says an old author, 'that your right Martialist doth seldom exceed in height, or be at the most above a yard or a yard and a half in height' (which is surely stint measure). 'It hath been always thus,' said that right Martialist Sir Geoffrey Hudson to Julian Peveril; 'and in the history of all ages, the clean tight dapper little fellow hath proved an overmatch for his burly antagonist. I need only instance, out of Holy Writ, the celebrated downfall of Goliath and of another lubbard, who had more fingers in his hand, and more inches to his stature, than ought to belong to an honest man, and who was slain by a nephew of good King David; and of many others whom I do not remember; nevertheless, they were all Philistines of gigantic stature. In the classics, also, you have Tydeus, and other tight compact heroes, whose diminutive bodies were the abode of large minds.'[13]It is likely that Swedenborg in his youth studied astrology, for in his visions the Mercurial folk have this desire of knowledge as their distinguishing characteristic.[14]It is singular that, when there is this perfectly simple explanation of the origin of the nomenclature of the days of the week, an explanation given by ancient historians and generally received, Whewell should have stated that 'various accounts are given, all the methods proceeding upon certain arbitrary arithmetical processes connected in some way with astrological views.' Speaking of the arrangement of the planets in the order of their supposed distances, and of the order in which the planets appear in the days of the week, he says, 'It would be difficult to determine with certainty why the former order was adopted, and how and why the latter was derived from it.' But, in reality, there is no difficulty about either point. The former arrangement corresponded precisely with the periodic times of the seven planets of the old Egyptian system (unquestionably far more ancient than the system adopted by the Greeks), while the latter springs directly from the former. Assign to the hours of the day, successively, the seven planets in the former order, continuing the sequence without interruption day after day, and in the course of seven days each one of the planets will have ruled the first hour of a day, in the order,—Saturn, the sun, the moon, Mars, Mercury, Jupiter, and Venus. What arbitrary arithmetical process there is in this it would be difficult to conceive. Arithmetic does not rule the method at all. Nor has any other method ever been suggested; though this method has been presented in several ways, some arithmetical and some geometrical. We need then have no difficulty in understanding what seems soperplexing to Whewell, the universality, namely, of the notions 'which have produced this result,' for the notions were not fantastic, but such as naturally sprang from the ideas on which astrology itself depends.[15]The following remarks by the Astronomer-Royal on this subject seem to me just, in the main. They accord with what I had said earlier in my essay on Saturn and the Sabbath of the Jews ('Our Place among Infinities,' 11th essay). 'The importance which Moses attached to it [the hebdomadal rest] is evident; and, with all reverence, I recognise to the utmost degree the justice of his views. No direction was given for religious ceremonial' (he seems to have overlooked Numbers xxviii. 9, and cognate passages), 'but it was probably seen that the health given to the mind by a rest from ordinary cares, and by the opportunity of meditation, could not fail to have a most beneficial religious effect. But, to give sanction to this precept, the authority of at least a myth was requisite. I believe it was simply for this reason that the myth of the six days of creation was preserved. It is expressly cited in the first delivery of the commandments, as the solemn authority (Exodus xxxi. 17) for the command. It is remarkable that at the second mention of the commandment (Deuteronomy v.) no reference is made to the creation; perhaps, after the complete establishment of Jehovistic ideas in the minds of the Israelites, they had nearly lost the recollection of the Elohistic account, and it was not thought desirable to refer to it' (Airy, 'On the Early Hebrew Scriptures,' p. 17). It must be regarded as a singular instance of the persistency of myths, if this view be correct, that a myth which had become obsolete for the Jews between the time of Moses and that of the writer (whoever he may have been) who produced the so-called Mosaic book of Deuteronomy, should thereafter have been revived, and have come to be regarded by the Jews themselves and by Christians as the Word of God.[16]Of course it may be argued that nothing in the world is the result ofmereaccident, and some may assert that even matters which are commonly regarded as entirely casual have been specially designed. It would not be easy to draw the precise line dividing events which all men would regard as to all intents and purposes accidental from those which some men would regard as results of special providence. But common sense draws a sufficient distinction, at least for our present purpose.[17]This star, calledThubanfrom the Arabianal-Thúban, the Dragon, is now not very bright, being rated at barely above the fourth magnitude, but it was formerly the brightest star of the constellation, as its name indicates. Bayer also assigned to it the first letter of the Greek alphabet; though this is not absolutely decisive evidence that so late as his day it retained its superiority over the second magnitude stars to which Bayer assigned the second and third Greek letters. In the year 2790B.C., or thereabouts, the star was at its nearest to the true north pole of the heavens, the diameter of the little circle in which it then moved being considerably less than one-fourth the apparent diameter of the moon. At that time the star must have seemed to all ordinary observation an absolutely fixed centre, round which all the other stars revolved. At the time when the pyramid was built this star was about sixty times farther removed from the true pole, revolving in a circle whose apparent diameter was about seven times as great as the moon's. Yet it would still be regarded as a very useful pole-star, especially as there are very few conspicuous stars in the neighbourhood.[18]Even that skilful astronomer Hipparchus, who may be justly called the father of observational astronomy, overlooked this peculiarity, which Ptolemy would seem to have been the first to recognise.[19]It would only be by a lucky accident, of course, that the direction of the slant tunnel's axis and that of the vertical from the selected central point would lie in the same vertical plane. The object of the tunnelling would, in fact, be to determine how far apart the vertical planes through these points lay, and the odds would be great against the result proving to be zero.[20]It may, perhaps, occur to the reader to inquire what diameter of the earth, supposed to be a perfect sphere, would be derived from a degree of latitude measured with absolute accuracy near latitude 30°. A degree of latitude measured in polar regions would indicate a diameter greater even than the equatorial; one measured in equatorial regions would indicate a diameter less even than the polar. Near latitude 30° the measurement of a degree of latitude would indicate a diameter very nearly equal to the true polar diameter of the earth. In fact, if it could be proved that the builders of the pyramid used for their unit of length an exact subdivision of the polar diameter, the inference would be that, while the coincidence itself was merely accidental, their measurement of a degree of latitude in their own country had been singularly accurate. By an approximate calculation I find that, taking the earth's compression at1⁄300, the diameter of the earth, estimated from the accurate measurement of a degree of latitude in the neighbourhood of the great pyramid, would have made the sacred cubit—taken at one 20,000,000th of the diameter—equal to 24·98 British inches; a closer approximation than Professor Smyth's to the estimated mean probable value of the sacred cubit.[21]It is, however, almost impossible to mark any limits to what may be regarded as evidence of design by a coincidence-hunter. I quote the following from the late Professor De Morgan'sBudget of Paradoxes. Having mentioned that 7 occurs less frequently than any other digit in the number expressing the ratio of circumference to diameter of a circle, he proceeds: 'A correspondent of my friend Piazzi Smyth notices that 3 is the number of most frequency, and that 3-1⁄7is the nearest approximation to it in simple digits. Professor Smyth, whose work on Egypt is paradox of a very high order, backed by a great quantity of useful labour, the results of which will be made available by those who do not receive the paradoxes, is inclined to see confirmation for some of his theory in these phenomena.' In passing, I may mention as the most singular of these accidental digit relations which I have yet noticed, that in the first 110 digits of the square root of 2, the number 7 occurs more than twice as often as either 5 or 9, which each occur eight times, 1 and 2 occurring each nine times, and 7 occurring no less than eighteen times.[22]I have substituted this value in the article 'Astronomy,' of theBritish Encyclopædia, for the estimate formerly used, viz. 95,233,055 miles. But there is good reason for believing that the actual distance is nearly 92,000,000 miles.[23]It may be matched by other coincidences as remarkable and as little the result of the operation of any natural law. For instance, the following strange relation, introducing the dimensions of the sun himself, nowhere, so far as I have yet seen, introduced among pyramid relations, even by pyramidalists: 'If the plane of the ecliptic were a true surface, and the sun were to commence rolling along that surface towards the part of the earth's orbit where she is at her mean distance, while the earth commenced rolling upon the sun (round one of his great circles), each globe turning round in the same time,—then, by the time the earth had rolled its way once round the sun, the sun would have almost exactly reached the earth's orbit. This is only another way of saying that the sun's diameter exceeds the earth's in almost exactly the same degree that the sun's distance exceeds the sun's diameter.'[24]It has been remarked that, though Hipparchus had the enormous advantage of being able to compare his own observations with those recorded by the Chaldæans, he estimated the length of the year less correctly than the Chaldæans. It has been thought by some that the Chaldæans were acquainted with the true system of the universe, but I do not know that there are sufficient grounds for this supposition. Diodorus Siculus and Apollonius Myndius mention, however, that they were able to predict the return of comets, and this implies that their observations had been continued for many centuries with great care and exactness.[25]The language of the modern Zadkiels and Raphaëls, though meaningless and absurd in itself, yet, as assuredly derived from the astrology of the oldest times, may here be quoted. (It certainly was not invented to give support to the theory I am at present advocating.) Thus runs the jargon of the tribe: 'In order to illustrate plainly to the reader what astrologers mean by the "houses of heaven," it is proper for him to bear in mind the four cardinal points. The eastern, facing the rising sun, has at its centre the first grand angle or first house, termed the Horoscope or ascendant. The northern, opposite the region where the sun is at midnight, or thecuspof the lower heaven or nadir, is the Imum Cœli, and has at its centre the fourth house. The western, facing the setting sun, has at its centre the third grand angle or seventh house or descendant. And lastly, the southern, facing the noonday sun, has at its centre the astrologer's tenth house, or Mid-heaven, the most powerful angle or house of honour.' 'And although,' proceeds the modern astrologer, 'we cannot in the ethereal blue discern these lines or terminating divisions, both reason and experience assure us that they certainly exist; therefore the astrologer has certain grounds for the choice of his four angular houses' (out of twelve in all) 'which, resembling the palpable demonstration they afford, are in the astral science esteemed the most powerful of the whole. '—Raphaël'sManual of Astrology.[26]Arabian writers give the following account of Egyptian progress in astrology and the mystical arts: Nacrawasch, the progenitor of Misraim, was the first Egyptian prince, and the first of the magicians who excelled in astrology and enchantment. Retiring into Egypt with his family of eighty persons, he built Essous, the most ancient city of Egypt, and commenced the first dynasty of Misraimitish princes, who excelled as cabalists, diviners, and in the mystic arts generally. The most celebrated of the race were Naerasch, who first represented by images the twelve signs of the zodiac; Gharnak, who openly described the arts before kept secret; Hersall, who first worshipped idols; Sehlouk, who worshipped the sun; Saurid (King Saurid of Ibn Abd Alkohm's account), who erected the first pyramids and invented the magic mirror; and Pharaoh, the last king of the dynasty, whose name was afterwards taken as a kingly title, as Cæsar later became a general imperial title.[27]It is noteworthy how Swedenborg here anticipates a saying of Laplace, the greatest mathematician the world has known, save Newton alone. Newton's remark that he seemed but as a child who had gathered a few shells on the shores of ocean, is well known. Laplace's words, 'Ce que nous connaissons est peu de chose; ce que nous ignorons est immense,' were not, as is commonly stated, his last. De Morgan gives the following account of Laplace's last moments, on the authority of Laplace's friend and pupil, the well-known mathematician Poisson: 'After the publication (in 1825) of the fifth volume of the Mécanique Céleste, Laplace became gradually weaker, and with it musing and abstracted. He thought much on the great problems of existence, and often muttered to himself, "Qu'est-ce que c'est que tout cela!" After many alternations he appeared at last so permanently prostrated that his family applied to his favourite pupil, M. Poisson, to try to get a word from him. Poisson paid a visit, and after a few words of salutation, said, "J'ai une bonne nouvelle à vous annoncer: on a reçu au Bureau des Longitudes une lettre d'Allemagne annonçant que M. Bessel a vérifié par l'observation vos découvertes théoriques sur les satellites de Jupiter." Laplace opened his eyes and answered with deep gravity. "L'homme ne poursuit que des chimères." He never spoke again. His death took place March 5, 1827.'[28]The reason assigned by Swedenborg is fanciful enough. 'In the spiritual sense,' he says, 'a horse signifies the intellectual principle formed from scientifics, and as they are afraid of cultivating the intellectual faculties by worldly sciences, from this comes an influx of fear. They care nothing for scientifics which are of human erudition.'[29]Similar reasoning applies to the moons of Jupiter, and it so chances that the result in their case comes out exactly the same as in the case of Saturn; all the Jovian moons, if full together, would reflect only the sixteenth part of the light which we receive from the full moon. It is strange that scientific men of considerable mathematical power have used the argument from design apparently supplied by the satellites, without being at the pains to test its validity by the simple mathematical calculations necessary to determine the quantity of light which these bodies can reflect to the planets round which they travel. Brewster and Whewell, though they took opposite sides in the controversy about other inhabited worlds, agreed in this. Brewster, of course, holding the theory that all the planets are inhabited, very naturally accepted the argument from design in this case. Whewell, in opposing that theory, did not dwell at all upon the subjects of the satellites. But in his 'Bridgewater Treatise on Astronomy and General Physics,' he says, 'Taking only the ascertained cases of Venus, the Earth, Jupiter, and Saturn, we conceive that a person of common understanding will be strongly impressed with the persuasion that the satellites are placed in the system with a view to compensate for the diminished light of the sun at greater distances. Mars is an exception; some persons might conjecture from this case that the arrangement itself, like other useful arrangements, has been brought about by some wider law which we have not yet detected. But whether or not we entertain such a guess (it can be nothing more), we see in other parts of creation so many examples of apparent exceptions to rules, which are afterwards found to be capable of explanation, or to be provided for by particular contrivances, that no one familiar with such contemplations will, by one anomaly, be driven from the persuasion that the end which the arrangements of the satellites seem suited to answer is really one of the ends of their creation.'[30]The reader who cares enough about such subjects to take the necessary trouble, can easily make a little model of Saturn and his ring system, which will very prettily illustrate the effect of the rings both in reflecting light to the planet's darkened hemisphere and in cutting off light from the planet's illuminated hemisphere. Take a ball, say an ordinary hand-ball, and pierce it through the centre with a fine knitting-needle. Cut out a flat ring of card, proportioned to the ball as the ring system of Saturn to his ball. (If the ball is two inches in diameter, strike out on a sheet of cardboard two concentric circles, one of them with a radius of a little more than an inch and a half, the other with a radius of about two inches and three-eights, and cut out the ring between these two circles.) Thrust the knitting-needle through this ring in such a way that the ball shall lie in the middle of the ring, as the globe of Saturn hangs (without knitting-needle connections) in the middle of his ring system. Thrust another knitting-needle centrally through the ball square to the plane of the ring, and use this second needle, which we may call the polar one, as a handle. Now take the ball and ring into sunlight, or the light of a lamp or candle, holding them so that the shadow of the ring is as thin as possible. This represents the position of the shadow at the time of Saturnian spring or autumn. Cause the shadow slowly to shift until it surrounds the part of the ball through which the polar needle passes on one side. This will represent the position of the shadow at the time of midwinter for the hemisphere corresponding to that side of the ball. Notice that while the shadow is traversing this half of the ball, the side of the ring which lies towards that half is in shadow, so that a fly or other small insect on that half of the ball would see the darkened side of the ring. A Saturnian correspondingly placed would get no reflected sunlight from the ring system. Move the ball and ring so that the shadow slowly returns to its first position. You will then have illustrated the changes taking place during one half of a Saturnian year. Continue the motion so that the shadow passes to the other half of the ball, and finally surrounds the other point through which the polar needle passes. The polar point which the shadow before surrounded will now be seen to be in the light, and this half of the ball will illustrate the hemisphere of Saturn where it is midsummer. It will also be seen that the side of the ring towards this half of the ball is now in the light, so that a small insect on this half of the ball would see the bright side of the ring. A Saturnian correspondingly placed would get reflected sunlight from the ring systemboth by day and by night. Moving the ball and ring so that the shadow returns to its first position, an entire Saturnian year will have been illustrated. These changes can be still better shown with a Saturnian orrery (see plate viii. of my Saturn), which can be very easily constructed.[31]Not 'of course' because Tycho used it, for, like other able students of science, he made mistakes from time to time. Thus he argued that the earth cannot rotate on her axis, because if she did bodies raised above her surface would be left behind—an argument which even the mechanical knowledge of his own time should have sufficed to invalidate, though it is still used from time to time by paradoxers of our own day.[32]Chinese chronicles contain other references to new stars. The annals of Ma-touan-lin, which contain the official records of remarkable appearances in the heavens, include some phenomena which manifestly belong to this class. Thus they record that in the year 173 a star appeared between the stars which mark the hind feet of the Centaur. This star remained visible from December in that year until July in the next (about the same time as Tycho Brahe's and Kepler's new stars, presently to be described). Another star, assigned by these annals to the year 1011, seems to be the same as a star referred to by Hepidannus as appearingA.D.1012. It was of extraordinary brilliancy, and remained visible in the southern part of the heavens during three months. The annals of Ma-touan-lin assign to it a position low down in Sagittarius.[33]Still a circumstance must be mentioned which tends to show that the star may have been visible a few hours earlier than Dr. Schmidt supposed. Mr. M. Walter, surgeon of the 4th regiment, then stationed in North India, wrote (oddly enough, on May 12, 1867, the first anniversary of Mr. Birmingham's discovery) as follows to Mr. Stone:—'I am certain that this same conflagration was distinctly perceptible here at least six hours earlier. My knowledge of the fact came about in this wise. The night of the 12th of May last year was exceedingly sultry, and about eight o'clock on that evening I got up from the tea-table and rushed into my garden to seek a cooler atmosphere. As my door opens towards the east, the first object that met my view was the Northern Crown. My attention was at once arrested by the sight of a strange star outside the crown' (that is, outside the circlet of stars forming the diadem, not outside the constellation itself). The new star 'was then certainly quite as bright—I rather thought more so—as its neighbour Alphecca,' the chief gem of the crown. 'I was so much struck with its appearance, that I exclaimed to those indoors, "Why, here is a new comet!'" He made a diagram of the constellation, showing the place of the new star correctly. Unfortunately, Mr. Walter does not state why he is so confident, a year after the event, that it was on the 12th of May, and not on the 13th, that he noticed the new star. If he fixed the date only by the star's appearance as a second-magnitude star, his letter proves nothing; for we know that on the 13th it was still shining as brightly as Alphecca, though on the 14th it was perceptibly fainter.[34]The velocity of three or four miles per second inferred by the elder Struve must now be regarded (as I long since pointed out would prove to be the case) as very far short of the real velocity of our system's motion through stellar space.[35]M. Cornu's observations are full of interest, and he deserves considerable credit for his energy in availing himself of the few favourable opportunities he had for making them. But he goes beyond his province in adding to his account of them some remarks, intended apparently as a reflection on Mr. Huggins's speculations respecting the star in the Northern Crown. 'I,' says M. Cornu, 'will not try to form any hypothesis about the cause of the outburst. To do so would be unscientific, and such speculations, though interesting, cumber science wofully.' This is sheer nonsense, and comes very ill from an observer whose successes in science have been due entirely to the employment of methods of observation which would have had no existence had others been as unready to think out the meaning of observed facts as he appears to be himself.[36]The same peculiarity has been noticed since the discovery of the dark ring, the space within that ring being observed by Coolidge and G. Bond at Harvard in 1856 to be apparently darker than the surrounding sky.[37]I cannot understand why Mr. Webb, in his interesting little work,Celestial Objects for Common Telescopes, says that the satellite theory of the rings certainly seems insufficient to account for the phenomena of the dark ring. It seems, on the contrary, manifest that the dark ring can scarcely be explained in any other way. The observations recently made are altogether inexplicable on any other theory.[38]A gentleman, whose acquaintance I made in returning from America last spring, assured me that he had found demonstrative evidence showing that a total eclipse of the moon then occurred; for he could prove that Abraham's vision occurred at the time of full moon, so that it could not otherwise have been dark when the sun went down (v. 17). But the horror of great darkness occurred when the sun was going down, and total eclipses of the moon do not behave that way—at least, in our time.[39]It is not easy to understand what else it could have been. The notion that a conjunction of three planets, which took place shortly before the time of Christ's birth, gave rise to the tradition of the star in the east, though propounded by a former president of the Astronomical Society, could hardly be entertained by an astronomer, unless he entirely rejected Matthew's account, which the author of this theory, being a clergyman, can scarcely have done.[40]As, for instance, when he makes Homer say of the moon thatAround her throne the vivid planets roll,And stars unnumbered gild the glowing pole.It is difficult, indeed, to understand how so thorough an astronomer as the late Admiral Smyth could have called the passage in which these lines occur one of the finest bursts of poetry in our language, except on the principle cleverly cited by Waller when Charles II. upbraided him for the warmth of his panegyric on Cromwell, that 'poets succeed better with fiction than with truth.' Macaulay, though not an astronomer, speaks more justly of the passage in saying that this single passage contains more inaccuracies than can be found in all Wordsworth's 'Excursion.'[41]It may be necessary to throw in here a few words of explanation, lest the non-astronomical reader should run away with the idea that the so-called exact science is a very inexact science indeed, so far as comets are concerned. The comet of 1680 was one of those which travel on a very eccentric orbit. Coming, indeed, from out depths many times more remote than the path even of the remotest planet, Neptune, this comet approached nearer to the sun than any which astronomers have ever seen, except only the comet of 1843. When at its nearest its nucleus was only a sixth part of the sun's diameter from his surface. Thus the part of the comet's orbit along which astronomers traced its motion was only a small part at one end of an enormously long oval, and very slight errors of observation were sufficient to produce very large errors in the determination of the nature of the comet's orbit. Encke admitted that the period might, so far as the comparatively imperfect observations made in 1680 were concerned, be any whatever, from 805 years to many millions of years, or even to infinity—that is, the comet might have a path not re-entering into itself, but carrying the comet for ever away from the sun after its one visit to our system.[42]For a portion of the passages which I have quoted in this essay I am indebted to Guillemin's 'Treatise on Comets,' a useful contribution to the literature of the subject, though somewhat inadequate so far as exposition is concerned.[43]Something very similar happened only a few years ago, so that we cannot afford to laugh too freely at the terrors of France in 1773. It was reported during the winter of 1871–1872, that Plantamour, the Swiss astronomer, had predicted the earth's destruction by a comet on August 12, 1872. Yet there was no other foundation for this rumour than the fact that Plantamour, in a lecture upon comets and meteors, had stated that the meteors seen on August 10, 11, and 12 are bodies following in the track of a comet whose orbit passes very near to the earth's. It was very certainly known to astronomers that there could be no present danger of a collision with this comet, for the comet has a period of at least 150 years, and had last passed close to the earth's orbit (not to the earth herself, be it understood) in 1862. But it was useless to point this out. Many people insisted on believing that on August 12, 1872, the earth would come into collision, possibly disastrous, with a mighty comet, which Plantamour was said to have detected and to have shown by a profound calculation to be rushing directly upon our unfortunate earth.[44]A rather amusing mistake was made by the stenographers of a New York paper in reporting the above sentence, which I happened to quote in a lecture upon Comets and Meteors. Instead of Paradise they wrote Paris. Those acquainted with Pitman's system of short-hand, the one most commonly employed by reporters, will easily understand how the mistake was made, the marks made to represent the consonants p, r, d, and s differing little from those made to represent the consonants p, r, and s (the 'd' or 't' sound is represented, or may be represented, by simply shortening the length of the sign for the preceding consonant). The mistake led naturally to my remarking in my next lecture that I had not before known how thoroughly synonymous the words are in America, though I had heard it said that 'Good Americans, when they die, go to Paris.'[45]On the occasion of my first visit to America, in 1873, I for the first time succeeded in obtaining a copy of this curious pamphlet. It had been mentioned to me (by Emerson, I think) as an amusing piece of trickery played off by a scientific man on his brethren; and Dr. Wendell Holmes, who was present, remarked that he had a copy in his possession. This he was good enough to lend me. Soon after, a valued friend in New York presented me with a copy.[46]This Locke must not be confounded with Richard Lock, the circle-squarer and general paradoxist, who flourished a century earlier.[47]The nurses' tale is, that the man was sent to the moon by Moses for gathering sticks on the Sabbath, and they refer to the cheerful story in Numbers xv. 32–36. According to German nurses the day was not the Sabbath, but Sunday. Their tale runs as follows: 'Ages ago there went one Sunday an old man into the woods to hew sticks. He cut a faggot and slung it on a stout staff, cast it over his shoulder, and began to trudge home with his burthen. On his way he met a handsome man in Sunday suit, walking towards the church. The man stopped, and asked the faggot-bearer; "Do you know that this is Sunday on earth, when all must rest from their labours?" "Sunday on earth or Monday in heaven, it's all one to me?" laughed the wood-cutter. "Then bear your bundle for ever!" answered the stranger. "And as you value not Sunday on earth, yours shall be a perpetual Moon-day in heaven; you shall stand for eternity in the moon, a warning to all Sabbath-breakers." Thereupon the stranger vanished; and the man was caught up with his staff and faggot into the moon, where he stands yet.' According to some narrators the stranger was Christ; but whether from German laxity in such matters or for some other reason, no text is quoted in evidence, as by the more orthodox British nurses. Luke vi. 1–5 might serve.[48]Milton's opinion may be quoted against me here; and as received ideas respecting angels, good and bad, the fall of man, and many other such matters, are due quite as much to Milton as to any other authority, his opinion must not be lightly disregarded. But though, when Milton's Satan 'meets a vast vacuity' where his wings are of no further service to him,'All unawaresFlutt'ring his pennons vain, plumb down he dropsTen thousand fathoms deep, and to this hourDown had been falling, had not by ill chanceThe strong rebuff of some tumultuous cloud,Instinct with fire and nitre, hurried himAs many miles aloft,'yet this was written nearly a quarter of a century before Newton had established the law of gravity. Moreover, there is no evidence to show in what direction Satan fell; 'above is below and below above,' says Richter, 'to one stripped of gravitating body;' and whether Satan was under the influence of gravity or not, he would be practically exempt from its action when in the midst of that 'dark, illimitable ocean' of space,'Without bound,Without dimensions, where length, breadth, and height,And time and place are lost.'His lighting 'on Niphates' top,' and overleaping the gate of Paradise, may be used as arguments either way. On the whole, I must (according to my present lights) claim for Satan a freedom from all scientific restraints. This freedom is exemplified by his showing all the kingdoms of the world from an exceeding high mountain, thus affording the first practical demonstration of the flat-earth theory, the maintenance of which led to poor Mr. Hampden's incarceration.[49]TheSunitself claimed to have established the veracity of the account in a manner strongly recalling a well-known argument used by orthodox believers in the Bible account of the cosmogony. Either, say these, Moses discovered how the world was made, or the facts were revealed to him by some one who had made the discovery: but Moses could not have made the discovery, knowing nothing of the higher departments of science; therefore, the account came from the only Being who could rationally be supposed to know anything about the beginning of the world. 'Either,' said theNew York Sun, speaking of a mathematical problem discussed in the article, 'that problem was predicated by us or some other person, who has thereby made the greatest of all modern discoveries in mathematical astronomy. We did not make it, for we know nothing of mathematics whatever; therefore, it was made by the only person to whom it can rationally be ascribed, namely Herschel the astronomer, its only avowed and undeniable author.' In reality, notwithstanding this convincing argument, the problem was stolen by Locke from a paper by Olbers, shortly before published, and gave the method followed by Beer and Mädler throughout their selenographical researches in 1833–37.[50]I had at the same time the good fortune to satisfy in equal degree, though quite unexpectedly, an English student of the sun, who at that time bore me no great good-will. Something in the article chanced to suggest that it came from another, presumably a rival, hand; while an essay which appeared about the same time (the spring of 1872) was commonly but erroneously attributed to me. Accordingly, a leading article inNaturewas devoted to the annihilation of the writer supposed to be myself, and to the lavish and quite undeserved laudation of the article I had written, which was selected as typifying all the good qualities which an article of the kind should possess. Those acquainted with the facts were not a little amused by the mistake.[51]The Astronomer-Royal once told me that he had found that few persons have a clear conception of the fact that the stars rise and set. Still fewer know how the stars move, which stars rise and set, which are always above the horizon, which move on large circles, which on small ones; though a few hours' observation on half-a-dozen nights in the year (such observations being continuous, but made only at hourly intervals) would show dearly how the stars move. It is odd to find even some who write about astronomy making mistakes on matters so elementary. For instance, in a primer of astronomy recently published, it is stated that the stars which pass overhead in London rise and set on a slant—the real fact being thatthosestars never rise or set at all, never coming within some two dozen moon-breadths of the horizon.[52]In passing let me note that, of course, I am not discussing the arguments of paradoxists with the remotest idea of disproving them. They are not, in reality, worth the trouble. But they show where the general reader of astronomical text-books, and other such works, is likely to go astray, and thus conveniently indicate matters whose explanation may be useful or interesting.[53]Sterne anticipated this paradoxist in (jestingly) attributing glassiness to an inferior planet. He made the inhabitants, however, not the air, glassy. 'The intense heat of the country,' he says, speaking of the planet Mercury, 'must, I think, long ago have vitrified the bodies of the inhabitants to suit them for the climate; so that all the tenements of their souls may be nothing else, for aught the soundest philosophy can show to the contrary, but one fine transparent body of clear glass; so that till the inhabitant grows old and tolerably wrinkled, whereby the rays of light become monstrously refracted, or return reflected from the surface, etc., his soul might as well play the fool out o' doors as in her own house.'[54]It will be seen from Table X. of my treatise on Saturn that the ring disappeared on December 12, remaining invisible (because turning its dark side earthwards) till the spring of 1613. But on December 4, the ring must have been quite invisible in a telescope so feeble as Galileo's. The ring then would have been little more than a fine line of light as seen with one of our powerful modern telescopes.[55]North British Reviewfor August 1860.[56]He had, indeed, at an earlier stage, shown a marvellous ignorance of astronomy by the remark, which doubtless appeared to him a safe one, that when he saw a planet on the sun in September he supposed it was Mercury; a September transit of Mercury being as impossible as an eclipse of the sun during the moon's third quarter.[57]It is, by the way, somewhat amusing to find Baron Humboldt referring a question of this sort to the great mathematician Gauss, and describing the problem as though it involved the most profound calculations. Ten minutes should suffice to deal with any problem of the kind.
[1]These reflections were suggested to Tacitus by the conduct of Thrasyllus (chief astrologer of the Emperor Tiberius), when his skill was tested by his imperial employer after a manner characteristic of that agreeable monarch. The story runs thus (I follow Whewell's version): 'Those who were brought to Tiberius on any important matter, were admitted to an interview in an apartment situated on a lofty cliff in the island of Capreæ. They reached this place by a narrow path, accompanied by a single freedman of great bodily strength; and on their return, if the emperor had conceived any doubts of their trustworthiness, a single blow buried the secret and its victim in the ocean below. After Thrasyllus had, in this retreat, stated the results of his art as they concerned the emperor, Tiberius asked him whether he had calculated how long he himself had to live. The astrologer examined the aspect of the stars, and while he did this showed hesitation, alarm, increasing terror, and at last declared that "The present hour was for him critical, perhaps fatal." Tiberius embraced him, and told him "he was right in supposing he had been in danger, but that he should escape it," and made him henceforward his confidential counsellor.' It is evident, assuming the story to be true (as seems sufficiently probable), that the emperor was no match for the charlatan in craft. It was a natural thought on the former's part to test the skill of his astrologer by laying for him a trap such as the story indicates—a thought so natural, indeed, that it probably occurred to Thrasyllus himself long before Tiberius put the plan into practice. Even if Thrasyllus had not been already on the watch for such a trick, he would have been but a poor trickster himself if he had not detected it the moment it was attempted, or failed to see the sole safe course which was left open to him. Probably, with a man of the temper of Tiberius, such a counter-trick as Galeotti's inQuentin Durwardwould have been unsafe.
[1]These reflections were suggested to Tacitus by the conduct of Thrasyllus (chief astrologer of the Emperor Tiberius), when his skill was tested by his imperial employer after a manner characteristic of that agreeable monarch. The story runs thus (I follow Whewell's version): 'Those who were brought to Tiberius on any important matter, were admitted to an interview in an apartment situated on a lofty cliff in the island of Capreæ. They reached this place by a narrow path, accompanied by a single freedman of great bodily strength; and on their return, if the emperor had conceived any doubts of their trustworthiness, a single blow buried the secret and its victim in the ocean below. After Thrasyllus had, in this retreat, stated the results of his art as they concerned the emperor, Tiberius asked him whether he had calculated how long he himself had to live. The astrologer examined the aspect of the stars, and while he did this showed hesitation, alarm, increasing terror, and at last declared that "The present hour was for him critical, perhaps fatal." Tiberius embraced him, and told him "he was right in supposing he had been in danger, but that he should escape it," and made him henceforward his confidential counsellor.' It is evident, assuming the story to be true (as seems sufficiently probable), that the emperor was no match for the charlatan in craft. It was a natural thought on the former's part to test the skill of his astrologer by laying for him a trap such as the story indicates—a thought so natural, indeed, that it probably occurred to Thrasyllus himself long before Tiberius put the plan into practice. Even if Thrasyllus had not been already on the watch for such a trick, he would have been but a poor trickster himself if he had not detected it the moment it was attempted, or failed to see the sole safe course which was left open to him. Probably, with a man of the temper of Tiberius, such a counter-trick as Galeotti's inQuentin Durwardwould have been unsafe.
[2]The belief in the influence of the stars and the planets on the fortunes of the new-born child was still rife when Shakespeare made Glendower boast:At my nativityThe front of heaven was full of fiery shapesOf burning cressets; know, that at my birthThe frame and huge foundation of the earthShook like a coward.And Shakespeare showed himself dangerously tainted with freethought in assigning (even to the fiery Hotspur) the reply:So it would have doneAt the same season, if your mother's catHad kittened, though yourself had ne'er been born.In a similar vein Butler, inHudibrasridiculed the folly of those who believe in horoscopes and nativities:As if the planet's first aspectThe tender infant did infectIn soul and body, and instilAll future good and future ill;Which in their dark fatalities lurking,At destined periods fall a-working,And break out, like the hidden seedsOf long diseases, into deeds,In friendships, enmities, and strife.And all th' emergencies of life.
[2]The belief in the influence of the stars and the planets on the fortunes of the new-born child was still rife when Shakespeare made Glendower boast:
At my nativityThe front of heaven was full of fiery shapesOf burning cressets; know, that at my birthThe frame and huge foundation of the earthShook like a coward.
And Shakespeare showed himself dangerously tainted with freethought in assigning (even to the fiery Hotspur) the reply:
So it would have doneAt the same season, if your mother's catHad kittened, though yourself had ne'er been born.
In a similar vein Butler, inHudibrasridiculed the folly of those who believe in horoscopes and nativities:
As if the planet's first aspectThe tender infant did infectIn soul and body, and instilAll future good and future ill;Which in their dark fatalities lurking,At destined periods fall a-working,And break out, like the hidden seedsOf long diseases, into deeds,In friendships, enmities, and strife.And all th' emergencies of life.
[3]Preface to theRudolphine Tables.
[3]Preface to theRudolphine Tables.
[4]It is commonly stated that Bacon opposed the Copernican theory because he disliked Gilbert, who had advocated it. 'Bacon,' says one of his editors, 'was too jealous of Gilbert to entertain one moment any doctrine that he advanced.' But, apart from the incredible littleness of mind which this explanation imputes to Bacon, it would also have been an incredible piece of folly on Bacon's part to advocate an inferior theory while a rival was left to support a better theory. Bacon saw clearly enough that men were on their way to the discovery of the true theory, and, so far as in him lay, he indicated how they should proceed in order most readily to reach the truth. It must, then, have been from conviction, not out of mere contradiction, that Bacon declared himself in favour of the Ptolemaic system. In fact, he speaks of the diurnal motion of the earth as 'an opinion which we can demonstrate to be most false;' doubtless having in his thoughts some such arguments as misled Tycho Brahe.
[4]It is commonly stated that Bacon opposed the Copernican theory because he disliked Gilbert, who had advocated it. 'Bacon,' says one of his editors, 'was too jealous of Gilbert to entertain one moment any doctrine that he advanced.' But, apart from the incredible littleness of mind which this explanation imputes to Bacon, it would also have been an incredible piece of folly on Bacon's part to advocate an inferior theory while a rival was left to support a better theory. Bacon saw clearly enough that men were on their way to the discovery of the true theory, and, so far as in him lay, he indicated how they should proceed in order most readily to reach the truth. It must, then, have been from conviction, not out of mere contradiction, that Bacon declared himself in favour of the Ptolemaic system. In fact, he speaks of the diurnal motion of the earth as 'an opinion which we can demonstrate to be most false;' doubtless having in his thoughts some such arguments as misled Tycho Brahe.
[5]To Bacon's theological contemporaries this must have seemed a dreadful heresy, and possibly in our own days the assertion would be judged scarcely less harshly, seeing that the observance of the (so-called) Sabbath depends directly upon the belief in quite another origin of the week. Yet there can be little question that the week really had its origin in astrological formulæ.
[5]To Bacon's theological contemporaries this must have seemed a dreadful heresy, and possibly in our own days the assertion would be judged scarcely less harshly, seeing that the observance of the (so-called) Sabbath depends directly upon the belief in quite another origin of the week. Yet there can be little question that the week really had its origin in astrological formulæ.
[6]In Bohn's edition the word 'defective' is here used, entirely changing the meaning of the sentence. Bacon registers anAstrologia Sanaamongst the things needed for the advancement of learning, whereas he is made to say that such an astrology must be registered as defective.
[6]In Bohn's edition the word 'defective' is here used, entirely changing the meaning of the sentence. Bacon registers anAstrologia Sanaamongst the things needed for the advancement of learning, whereas he is made to say that such an astrology must be registered as defective.
[7]The astrologers were exceedingly ingenious in showing that their art had given warning of the great plague and fire of London. Thus, the star which marks the Bull's northern horn—and which is described by Ptolemy as like Mars—was, they say, exactly in that part of the sign Gemini which is the ascendant of London, in 1666. Lilly, however, for whom they claim the credit of predicting the year of this calamity, laid no claim himself to that achievement; nay, specially denied that he knew when the fire was to happen. The story is rather curious. In 1651 Lilly had published hisMonarchy or no Monarchy, which contained a number of curious hieroglyphics. Amongst these were two (see frontispiece) which appeared to portend plague and fire respectively. The hieroglyphic of the plague represents three dead bodies wrapped in death-clothes, and for these bodies two coffins lie ready and two graves are being dug; whence it was to be inferred that the number of deaths would exceed the supply of coffins and graves. The hieroglyphic of the fire represents several persons, gentlefolk on one side and commonfolk on the other, emptying water vessels on a furious fire into which two children are falling headlong. The occurrence of the plague in 1665 attracted no special notice to Lilly's supposed prediction of that event, though probably many talked of the coincidence as remarkable. But when in 1666 the great fire occurred, the House of Commons summoned Lilly to attend the committee appointed to enquire into the cause of the fire. 'At two of the clock on Friday, the 25th of October 1666,' he attended in the Speaker's chamber, 'to answer such questions as should then and there be asked him.' Sir Robert Brooke spoke to this effect: 'Mr. Lilly, this committee thought fit to summon you to appear before them this day, to know if you can say anything as to the cause of the late fire, or whether there might be any design therein. You are called the rather hither, because in a book of yours long since printed, you hinted some such thing by one of your hieroglyphics.' Unto which he replied: 'May it please your honours, after the beheading of the late king, considering that in the three subsequent years the Parliament acted nothing which concerned the settlement of the nation's peace, and seeing the generality of the people dissatisfied, the citizens of London discontented, and the soldiery prone to mutiny, I was desirous, according to the best knowledge God had given me, to make enquiry by the art I studied, what might, from that time, happen unto the Parliament and nation in general. At last, having satisfied myself as well as I could, and perfected my judgment therein, I thought it most convenient to signify my intentions and conceptions thereof in forms, shapes, types, hieroglyphics, etc., without any commentary, that so my judgment might be concealed from the vulgar, and made manifest only unto the wise; I herein imitating the examples of many wise philosophers who had done the like. Having found, sir, that the great city of London should be sadly afflicted with a great plague, and not long after with an exorbitant fire, I framed these two hieroglyphics, as represented in the book, which in effect have proved very true.' 'Did you foresee the year?' said one. 'I did not,' said Lilly; 'nor was desirous; of that I made no scrutiny. Now, sir, whether there was any design of burning the city, or any employed to that purpose, I must deal ingenuously with you, that since the fire I have taken much pains in the search thereof, but cannot or could not give myself the least satisfaction therein. I conclude that it was the finger of God only; but what instruments He used thereunto I am ignorant.'
[7]The astrologers were exceedingly ingenious in showing that their art had given warning of the great plague and fire of London. Thus, the star which marks the Bull's northern horn—and which is described by Ptolemy as like Mars—was, they say, exactly in that part of the sign Gemini which is the ascendant of London, in 1666. Lilly, however, for whom they claim the credit of predicting the year of this calamity, laid no claim himself to that achievement; nay, specially denied that he knew when the fire was to happen. The story is rather curious. In 1651 Lilly had published hisMonarchy or no Monarchy, which contained a number of curious hieroglyphics. Amongst these were two (see frontispiece) which appeared to portend plague and fire respectively. The hieroglyphic of the plague represents three dead bodies wrapped in death-clothes, and for these bodies two coffins lie ready and two graves are being dug; whence it was to be inferred that the number of deaths would exceed the supply of coffins and graves. The hieroglyphic of the fire represents several persons, gentlefolk on one side and commonfolk on the other, emptying water vessels on a furious fire into which two children are falling headlong. The occurrence of the plague in 1665 attracted no special notice to Lilly's supposed prediction of that event, though probably many talked of the coincidence as remarkable. But when in 1666 the great fire occurred, the House of Commons summoned Lilly to attend the committee appointed to enquire into the cause of the fire. 'At two of the clock on Friday, the 25th of October 1666,' he attended in the Speaker's chamber, 'to answer such questions as should then and there be asked him.' Sir Robert Brooke spoke to this effect: 'Mr. Lilly, this committee thought fit to summon you to appear before them this day, to know if you can say anything as to the cause of the late fire, or whether there might be any design therein. You are called the rather hither, because in a book of yours long since printed, you hinted some such thing by one of your hieroglyphics.' Unto which he replied: 'May it please your honours, after the beheading of the late king, considering that in the three subsequent years the Parliament acted nothing which concerned the settlement of the nation's peace, and seeing the generality of the people dissatisfied, the citizens of London discontented, and the soldiery prone to mutiny, I was desirous, according to the best knowledge God had given me, to make enquiry by the art I studied, what might, from that time, happen unto the Parliament and nation in general. At last, having satisfied myself as well as I could, and perfected my judgment therein, I thought it most convenient to signify my intentions and conceptions thereof in forms, shapes, types, hieroglyphics, etc., without any commentary, that so my judgment might be concealed from the vulgar, and made manifest only unto the wise; I herein imitating the examples of many wise philosophers who had done the like. Having found, sir, that the great city of London should be sadly afflicted with a great plague, and not long after with an exorbitant fire, I framed these two hieroglyphics, as represented in the book, which in effect have proved very true.' 'Did you foresee the year?' said one. 'I did not,' said Lilly; 'nor was desirous; of that I made no scrutiny. Now, sir, whether there was any design of burning the city, or any employed to that purpose, I must deal ingenuously with you, that since the fire I have taken much pains in the search thereof, but cannot or could not give myself the least satisfaction therein. I conclude that it was the finger of God only; but what instruments He used thereunto I am ignorant.'
[8]Sir Toby Belch and Sir Andrew Aguecheek were evidently not well taught in astrology. 'Shall we set about some revels?' says the latter. 'What shall we do else?' says Toby; 'were we not born under Taurus?' 'Taurus, that's sides and heart,' says sapient Andrew. 'No, sir,' responds Toby, 'it's legs and thighs. Let me see thee caper.'
[8]Sir Toby Belch and Sir Andrew Aguecheek were evidently not well taught in astrology. 'Shall we set about some revels?' says the latter. 'What shall we do else?' says Toby; 'were we not born under Taurus?' 'Taurus, that's sides and heart,' says sapient Andrew. 'No, sir,' responds Toby, 'it's legs and thighs. Let me see thee caper.'
[9]'This is the excellent foppery of the world, that, when we are sick in fortune (often the surfeit of our own behaviour), we make guilty of our disasters the sun, moon, and stars: as if we were villains on necessity; fools by heavenly compulsion; knaves, thieves, and treacherous by spherical predominance; drunkards, liars, and adulterers, by inforced obedience of planetary influence; and all that we are, evil, by a divine thrusting on.'—Shakespeare(King Lear).
[9]'This is the excellent foppery of the world, that, when we are sick in fortune (often the surfeit of our own behaviour), we make guilty of our disasters the sun, moon, and stars: as if we were villains on necessity; fools by heavenly compulsion; knaves, thieves, and treacherous by spherical predominance; drunkards, liars, and adulterers, by inforced obedience of planetary influence; and all that we are, evil, by a divine thrusting on.'—Shakespeare(King Lear).
[10]There are few things more remarkable, or to reasoning minds more inexplicable, than the readiness with which men undertook in old times, and even now undertake, to interpret omens and assign prophetic significance to casual events. One can understand that foolish persons should believe in omens, and act upon the ideas suggested by their superstitions. The difficulty is to comprehend how these superstitions came into existence. For instance, who first conceived the idea that a particular line in the palm of the hand is the line of life; and what can possibly have suggested so absurd a notion? To whom did the thought first present itself that the pips on playing-cards are significant of future events; and why did he think so? How did the 'grounds' of a teacup come to acquire that deep significance which they now possess for Mrs. Gamp and Betsy Prig? If the believers in these absurdities be askedwhythey believe, they answer readily enough either that they themselves or their friends have known remarkable fulfilments of the ominous indications of cards or tea-dregs, which must of necessity be the case where millions of forecasts are daily made by these instructive methods. But the persons who first invented those means of divination can have had no such reasons. They must have possessed imaginations of singular liveliness and not wanting in ingenuity. It is a pity that we know so little of them.
[10]There are few things more remarkable, or to reasoning minds more inexplicable, than the readiness with which men undertook in old times, and even now undertake, to interpret omens and assign prophetic significance to casual events. One can understand that foolish persons should believe in omens, and act upon the ideas suggested by their superstitions. The difficulty is to comprehend how these superstitions came into existence. For instance, who first conceived the idea that a particular line in the palm of the hand is the line of life; and what can possibly have suggested so absurd a notion? To whom did the thought first present itself that the pips on playing-cards are significant of future events; and why did he think so? How did the 'grounds' of a teacup come to acquire that deep significance which they now possess for Mrs. Gamp and Betsy Prig? If the believers in these absurdities be askedwhythey believe, they answer readily enough either that they themselves or their friends have known remarkable fulfilments of the ominous indications of cards or tea-dregs, which must of necessity be the case where millions of forecasts are daily made by these instructive methods. But the persons who first invented those means of divination can have had no such reasons. They must have possessed imaginations of singular liveliness and not wanting in ingenuity. It is a pity that we know so little of them.
[11]Wellington lived too long for the astrologers, his death within the year having unfortunately been predicted by them many times during the last fifteen years of his life. Some astrologers were more cautious, however. I have before me his horoscope, carefully calculated,secundum artem, by Raphaël in 1828, with results 'sufficiently evincing the surprising verity and singular accuracy of astrological calculations, when founded on the correct time of birth, and mathematically calculated. I have chosen,' he proceeds, 'the nativity of this illustrious native, in preference to others, as the subject is now living, and, consequently, all possibility of making up any fictitious horoscope is at once set aside; thus affording me a most powerful shield against the insidious representations of the envious and ignorant traducer of my sublime science.' By some strange oversight, however, Raphaël omits to mention anything respecting the future fortunes of Wellington, showing only how wonderfully Wellington's past career had corresponded with his horoscope.
[11]Wellington lived too long for the astrologers, his death within the year having unfortunately been predicted by them many times during the last fifteen years of his life. Some astrologers were more cautious, however. I have before me his horoscope, carefully calculated,secundum artem, by Raphaël in 1828, with results 'sufficiently evincing the surprising verity and singular accuracy of astrological calculations, when founded on the correct time of birth, and mathematically calculated. I have chosen,' he proceeds, 'the nativity of this illustrious native, in preference to others, as the subject is now living, and, consequently, all possibility of making up any fictitious horoscope is at once set aside; thus affording me a most powerful shield against the insidious representations of the envious and ignorant traducer of my sublime science.' By some strange oversight, however, Raphaël omits to mention anything respecting the future fortunes of Wellington, showing only how wonderfully Wellington's past career had corresponded with his horoscope.
[12]'I have still observed,' says an old author, 'that your right Martialist doth seldom exceed in height, or be at the most above a yard or a yard and a half in height' (which is surely stint measure). 'It hath been always thus,' said that right Martialist Sir Geoffrey Hudson to Julian Peveril; 'and in the history of all ages, the clean tight dapper little fellow hath proved an overmatch for his burly antagonist. I need only instance, out of Holy Writ, the celebrated downfall of Goliath and of another lubbard, who had more fingers in his hand, and more inches to his stature, than ought to belong to an honest man, and who was slain by a nephew of good King David; and of many others whom I do not remember; nevertheless, they were all Philistines of gigantic stature. In the classics, also, you have Tydeus, and other tight compact heroes, whose diminutive bodies were the abode of large minds.'
[12]'I have still observed,' says an old author, 'that your right Martialist doth seldom exceed in height, or be at the most above a yard or a yard and a half in height' (which is surely stint measure). 'It hath been always thus,' said that right Martialist Sir Geoffrey Hudson to Julian Peveril; 'and in the history of all ages, the clean tight dapper little fellow hath proved an overmatch for his burly antagonist. I need only instance, out of Holy Writ, the celebrated downfall of Goliath and of another lubbard, who had more fingers in his hand, and more inches to his stature, than ought to belong to an honest man, and who was slain by a nephew of good King David; and of many others whom I do not remember; nevertheless, they were all Philistines of gigantic stature. In the classics, also, you have Tydeus, and other tight compact heroes, whose diminutive bodies were the abode of large minds.'
[13]It is likely that Swedenborg in his youth studied astrology, for in his visions the Mercurial folk have this desire of knowledge as their distinguishing characteristic.
[13]It is likely that Swedenborg in his youth studied astrology, for in his visions the Mercurial folk have this desire of knowledge as their distinguishing characteristic.
[14]It is singular that, when there is this perfectly simple explanation of the origin of the nomenclature of the days of the week, an explanation given by ancient historians and generally received, Whewell should have stated that 'various accounts are given, all the methods proceeding upon certain arbitrary arithmetical processes connected in some way with astrological views.' Speaking of the arrangement of the planets in the order of their supposed distances, and of the order in which the planets appear in the days of the week, he says, 'It would be difficult to determine with certainty why the former order was adopted, and how and why the latter was derived from it.' But, in reality, there is no difficulty about either point. The former arrangement corresponded precisely with the periodic times of the seven planets of the old Egyptian system (unquestionably far more ancient than the system adopted by the Greeks), while the latter springs directly from the former. Assign to the hours of the day, successively, the seven planets in the former order, continuing the sequence without interruption day after day, and in the course of seven days each one of the planets will have ruled the first hour of a day, in the order,—Saturn, the sun, the moon, Mars, Mercury, Jupiter, and Venus. What arbitrary arithmetical process there is in this it would be difficult to conceive. Arithmetic does not rule the method at all. Nor has any other method ever been suggested; though this method has been presented in several ways, some arithmetical and some geometrical. We need then have no difficulty in understanding what seems soperplexing to Whewell, the universality, namely, of the notions 'which have produced this result,' for the notions were not fantastic, but such as naturally sprang from the ideas on which astrology itself depends.
[14]It is singular that, when there is this perfectly simple explanation of the origin of the nomenclature of the days of the week, an explanation given by ancient historians and generally received, Whewell should have stated that 'various accounts are given, all the methods proceeding upon certain arbitrary arithmetical processes connected in some way with astrological views.' Speaking of the arrangement of the planets in the order of their supposed distances, and of the order in which the planets appear in the days of the week, he says, 'It would be difficult to determine with certainty why the former order was adopted, and how and why the latter was derived from it.' But, in reality, there is no difficulty about either point. The former arrangement corresponded precisely with the periodic times of the seven planets of the old Egyptian system (unquestionably far more ancient than the system adopted by the Greeks), while the latter springs directly from the former. Assign to the hours of the day, successively, the seven planets in the former order, continuing the sequence without interruption day after day, and in the course of seven days each one of the planets will have ruled the first hour of a day, in the order,—Saturn, the sun, the moon, Mars, Mercury, Jupiter, and Venus. What arbitrary arithmetical process there is in this it would be difficult to conceive. Arithmetic does not rule the method at all. Nor has any other method ever been suggested; though this method has been presented in several ways, some arithmetical and some geometrical. We need then have no difficulty in understanding what seems soperplexing to Whewell, the universality, namely, of the notions 'which have produced this result,' for the notions were not fantastic, but such as naturally sprang from the ideas on which astrology itself depends.
[15]The following remarks by the Astronomer-Royal on this subject seem to me just, in the main. They accord with what I had said earlier in my essay on Saturn and the Sabbath of the Jews ('Our Place among Infinities,' 11th essay). 'The importance which Moses attached to it [the hebdomadal rest] is evident; and, with all reverence, I recognise to the utmost degree the justice of his views. No direction was given for religious ceremonial' (he seems to have overlooked Numbers xxviii. 9, and cognate passages), 'but it was probably seen that the health given to the mind by a rest from ordinary cares, and by the opportunity of meditation, could not fail to have a most beneficial religious effect. But, to give sanction to this precept, the authority of at least a myth was requisite. I believe it was simply for this reason that the myth of the six days of creation was preserved. It is expressly cited in the first delivery of the commandments, as the solemn authority (Exodus xxxi. 17) for the command. It is remarkable that at the second mention of the commandment (Deuteronomy v.) no reference is made to the creation; perhaps, after the complete establishment of Jehovistic ideas in the minds of the Israelites, they had nearly lost the recollection of the Elohistic account, and it was not thought desirable to refer to it' (Airy, 'On the Early Hebrew Scriptures,' p. 17). It must be regarded as a singular instance of the persistency of myths, if this view be correct, that a myth which had become obsolete for the Jews between the time of Moses and that of the writer (whoever he may have been) who produced the so-called Mosaic book of Deuteronomy, should thereafter have been revived, and have come to be regarded by the Jews themselves and by Christians as the Word of God.
[15]The following remarks by the Astronomer-Royal on this subject seem to me just, in the main. They accord with what I had said earlier in my essay on Saturn and the Sabbath of the Jews ('Our Place among Infinities,' 11th essay). 'The importance which Moses attached to it [the hebdomadal rest] is evident; and, with all reverence, I recognise to the utmost degree the justice of his views. No direction was given for religious ceremonial' (he seems to have overlooked Numbers xxviii. 9, and cognate passages), 'but it was probably seen that the health given to the mind by a rest from ordinary cares, and by the opportunity of meditation, could not fail to have a most beneficial religious effect. But, to give sanction to this precept, the authority of at least a myth was requisite. I believe it was simply for this reason that the myth of the six days of creation was preserved. It is expressly cited in the first delivery of the commandments, as the solemn authority (Exodus xxxi. 17) for the command. It is remarkable that at the second mention of the commandment (Deuteronomy v.) no reference is made to the creation; perhaps, after the complete establishment of Jehovistic ideas in the minds of the Israelites, they had nearly lost the recollection of the Elohistic account, and it was not thought desirable to refer to it' (Airy, 'On the Early Hebrew Scriptures,' p. 17). It must be regarded as a singular instance of the persistency of myths, if this view be correct, that a myth which had become obsolete for the Jews between the time of Moses and that of the writer (whoever he may have been) who produced the so-called Mosaic book of Deuteronomy, should thereafter have been revived, and have come to be regarded by the Jews themselves and by Christians as the Word of God.
[16]Of course it may be argued that nothing in the world is the result ofmereaccident, and some may assert that even matters which are commonly regarded as entirely casual have been specially designed. It would not be easy to draw the precise line dividing events which all men would regard as to all intents and purposes accidental from those which some men would regard as results of special providence. But common sense draws a sufficient distinction, at least for our present purpose.
[16]Of course it may be argued that nothing in the world is the result ofmereaccident, and some may assert that even matters which are commonly regarded as entirely casual have been specially designed. It would not be easy to draw the precise line dividing events which all men would regard as to all intents and purposes accidental from those which some men would regard as results of special providence. But common sense draws a sufficient distinction, at least for our present purpose.
[17]This star, calledThubanfrom the Arabianal-Thúban, the Dragon, is now not very bright, being rated at barely above the fourth magnitude, but it was formerly the brightest star of the constellation, as its name indicates. Bayer also assigned to it the first letter of the Greek alphabet; though this is not absolutely decisive evidence that so late as his day it retained its superiority over the second magnitude stars to which Bayer assigned the second and third Greek letters. In the year 2790B.C., or thereabouts, the star was at its nearest to the true north pole of the heavens, the diameter of the little circle in which it then moved being considerably less than one-fourth the apparent diameter of the moon. At that time the star must have seemed to all ordinary observation an absolutely fixed centre, round which all the other stars revolved. At the time when the pyramid was built this star was about sixty times farther removed from the true pole, revolving in a circle whose apparent diameter was about seven times as great as the moon's. Yet it would still be regarded as a very useful pole-star, especially as there are very few conspicuous stars in the neighbourhood.
[17]This star, calledThubanfrom the Arabianal-Thúban, the Dragon, is now not very bright, being rated at barely above the fourth magnitude, but it was formerly the brightest star of the constellation, as its name indicates. Bayer also assigned to it the first letter of the Greek alphabet; though this is not absolutely decisive evidence that so late as his day it retained its superiority over the second magnitude stars to which Bayer assigned the second and third Greek letters. In the year 2790B.C., or thereabouts, the star was at its nearest to the true north pole of the heavens, the diameter of the little circle in which it then moved being considerably less than one-fourth the apparent diameter of the moon. At that time the star must have seemed to all ordinary observation an absolutely fixed centre, round which all the other stars revolved. At the time when the pyramid was built this star was about sixty times farther removed from the true pole, revolving in a circle whose apparent diameter was about seven times as great as the moon's. Yet it would still be regarded as a very useful pole-star, especially as there are very few conspicuous stars in the neighbourhood.
[18]Even that skilful astronomer Hipparchus, who may be justly called the father of observational astronomy, overlooked this peculiarity, which Ptolemy would seem to have been the first to recognise.
[18]Even that skilful astronomer Hipparchus, who may be justly called the father of observational astronomy, overlooked this peculiarity, which Ptolemy would seem to have been the first to recognise.
[19]It would only be by a lucky accident, of course, that the direction of the slant tunnel's axis and that of the vertical from the selected central point would lie in the same vertical plane. The object of the tunnelling would, in fact, be to determine how far apart the vertical planes through these points lay, and the odds would be great against the result proving to be zero.
[19]It would only be by a lucky accident, of course, that the direction of the slant tunnel's axis and that of the vertical from the selected central point would lie in the same vertical plane. The object of the tunnelling would, in fact, be to determine how far apart the vertical planes through these points lay, and the odds would be great against the result proving to be zero.
[20]It may, perhaps, occur to the reader to inquire what diameter of the earth, supposed to be a perfect sphere, would be derived from a degree of latitude measured with absolute accuracy near latitude 30°. A degree of latitude measured in polar regions would indicate a diameter greater even than the equatorial; one measured in equatorial regions would indicate a diameter less even than the polar. Near latitude 30° the measurement of a degree of latitude would indicate a diameter very nearly equal to the true polar diameter of the earth. In fact, if it could be proved that the builders of the pyramid used for their unit of length an exact subdivision of the polar diameter, the inference would be that, while the coincidence itself was merely accidental, their measurement of a degree of latitude in their own country had been singularly accurate. By an approximate calculation I find that, taking the earth's compression at1⁄300, the diameter of the earth, estimated from the accurate measurement of a degree of latitude in the neighbourhood of the great pyramid, would have made the sacred cubit—taken at one 20,000,000th of the diameter—equal to 24·98 British inches; a closer approximation than Professor Smyth's to the estimated mean probable value of the sacred cubit.
[20]It may, perhaps, occur to the reader to inquire what diameter of the earth, supposed to be a perfect sphere, would be derived from a degree of latitude measured with absolute accuracy near latitude 30°. A degree of latitude measured in polar regions would indicate a diameter greater even than the equatorial; one measured in equatorial regions would indicate a diameter less even than the polar. Near latitude 30° the measurement of a degree of latitude would indicate a diameter very nearly equal to the true polar diameter of the earth. In fact, if it could be proved that the builders of the pyramid used for their unit of length an exact subdivision of the polar diameter, the inference would be that, while the coincidence itself was merely accidental, their measurement of a degree of latitude in their own country had been singularly accurate. By an approximate calculation I find that, taking the earth's compression at1⁄300, the diameter of the earth, estimated from the accurate measurement of a degree of latitude in the neighbourhood of the great pyramid, would have made the sacred cubit—taken at one 20,000,000th of the diameter—equal to 24·98 British inches; a closer approximation than Professor Smyth's to the estimated mean probable value of the sacred cubit.
[21]It is, however, almost impossible to mark any limits to what may be regarded as evidence of design by a coincidence-hunter. I quote the following from the late Professor De Morgan'sBudget of Paradoxes. Having mentioned that 7 occurs less frequently than any other digit in the number expressing the ratio of circumference to diameter of a circle, he proceeds: 'A correspondent of my friend Piazzi Smyth notices that 3 is the number of most frequency, and that 3-1⁄7is the nearest approximation to it in simple digits. Professor Smyth, whose work on Egypt is paradox of a very high order, backed by a great quantity of useful labour, the results of which will be made available by those who do not receive the paradoxes, is inclined to see confirmation for some of his theory in these phenomena.' In passing, I may mention as the most singular of these accidental digit relations which I have yet noticed, that in the first 110 digits of the square root of 2, the number 7 occurs more than twice as often as either 5 or 9, which each occur eight times, 1 and 2 occurring each nine times, and 7 occurring no less than eighteen times.
[21]It is, however, almost impossible to mark any limits to what may be regarded as evidence of design by a coincidence-hunter. I quote the following from the late Professor De Morgan'sBudget of Paradoxes. Having mentioned that 7 occurs less frequently than any other digit in the number expressing the ratio of circumference to diameter of a circle, he proceeds: 'A correspondent of my friend Piazzi Smyth notices that 3 is the number of most frequency, and that 3-1⁄7is the nearest approximation to it in simple digits. Professor Smyth, whose work on Egypt is paradox of a very high order, backed by a great quantity of useful labour, the results of which will be made available by those who do not receive the paradoxes, is inclined to see confirmation for some of his theory in these phenomena.' In passing, I may mention as the most singular of these accidental digit relations which I have yet noticed, that in the first 110 digits of the square root of 2, the number 7 occurs more than twice as often as either 5 or 9, which each occur eight times, 1 and 2 occurring each nine times, and 7 occurring no less than eighteen times.
[22]I have substituted this value in the article 'Astronomy,' of theBritish Encyclopædia, for the estimate formerly used, viz. 95,233,055 miles. But there is good reason for believing that the actual distance is nearly 92,000,000 miles.
[22]I have substituted this value in the article 'Astronomy,' of theBritish Encyclopædia, for the estimate formerly used, viz. 95,233,055 miles. But there is good reason for believing that the actual distance is nearly 92,000,000 miles.
[23]It may be matched by other coincidences as remarkable and as little the result of the operation of any natural law. For instance, the following strange relation, introducing the dimensions of the sun himself, nowhere, so far as I have yet seen, introduced among pyramid relations, even by pyramidalists: 'If the plane of the ecliptic were a true surface, and the sun were to commence rolling along that surface towards the part of the earth's orbit where she is at her mean distance, while the earth commenced rolling upon the sun (round one of his great circles), each globe turning round in the same time,—then, by the time the earth had rolled its way once round the sun, the sun would have almost exactly reached the earth's orbit. This is only another way of saying that the sun's diameter exceeds the earth's in almost exactly the same degree that the sun's distance exceeds the sun's diameter.'
[23]It may be matched by other coincidences as remarkable and as little the result of the operation of any natural law. For instance, the following strange relation, introducing the dimensions of the sun himself, nowhere, so far as I have yet seen, introduced among pyramid relations, even by pyramidalists: 'If the plane of the ecliptic were a true surface, and the sun were to commence rolling along that surface towards the part of the earth's orbit where she is at her mean distance, while the earth commenced rolling upon the sun (round one of his great circles), each globe turning round in the same time,—then, by the time the earth had rolled its way once round the sun, the sun would have almost exactly reached the earth's orbit. This is only another way of saying that the sun's diameter exceeds the earth's in almost exactly the same degree that the sun's distance exceeds the sun's diameter.'
[24]It has been remarked that, though Hipparchus had the enormous advantage of being able to compare his own observations with those recorded by the Chaldæans, he estimated the length of the year less correctly than the Chaldæans. It has been thought by some that the Chaldæans were acquainted with the true system of the universe, but I do not know that there are sufficient grounds for this supposition. Diodorus Siculus and Apollonius Myndius mention, however, that they were able to predict the return of comets, and this implies that their observations had been continued for many centuries with great care and exactness.
[24]It has been remarked that, though Hipparchus had the enormous advantage of being able to compare his own observations with those recorded by the Chaldæans, he estimated the length of the year less correctly than the Chaldæans. It has been thought by some that the Chaldæans were acquainted with the true system of the universe, but I do not know that there are sufficient grounds for this supposition. Diodorus Siculus and Apollonius Myndius mention, however, that they were able to predict the return of comets, and this implies that their observations had been continued for many centuries with great care and exactness.
[25]The language of the modern Zadkiels and Raphaëls, though meaningless and absurd in itself, yet, as assuredly derived from the astrology of the oldest times, may here be quoted. (It certainly was not invented to give support to the theory I am at present advocating.) Thus runs the jargon of the tribe: 'In order to illustrate plainly to the reader what astrologers mean by the "houses of heaven," it is proper for him to bear in mind the four cardinal points. The eastern, facing the rising sun, has at its centre the first grand angle or first house, termed the Horoscope or ascendant. The northern, opposite the region where the sun is at midnight, or thecuspof the lower heaven or nadir, is the Imum Cœli, and has at its centre the fourth house. The western, facing the setting sun, has at its centre the third grand angle or seventh house or descendant. And lastly, the southern, facing the noonday sun, has at its centre the astrologer's tenth house, or Mid-heaven, the most powerful angle or house of honour.' 'And although,' proceeds the modern astrologer, 'we cannot in the ethereal blue discern these lines or terminating divisions, both reason and experience assure us that they certainly exist; therefore the astrologer has certain grounds for the choice of his four angular houses' (out of twelve in all) 'which, resembling the palpable demonstration they afford, are in the astral science esteemed the most powerful of the whole. '—Raphaël'sManual of Astrology.
[25]The language of the modern Zadkiels and Raphaëls, though meaningless and absurd in itself, yet, as assuredly derived from the astrology of the oldest times, may here be quoted. (It certainly was not invented to give support to the theory I am at present advocating.) Thus runs the jargon of the tribe: 'In order to illustrate plainly to the reader what astrologers mean by the "houses of heaven," it is proper for him to bear in mind the four cardinal points. The eastern, facing the rising sun, has at its centre the first grand angle or first house, termed the Horoscope or ascendant. The northern, opposite the region where the sun is at midnight, or thecuspof the lower heaven or nadir, is the Imum Cœli, and has at its centre the fourth house. The western, facing the setting sun, has at its centre the third grand angle or seventh house or descendant. And lastly, the southern, facing the noonday sun, has at its centre the astrologer's tenth house, or Mid-heaven, the most powerful angle or house of honour.' 'And although,' proceeds the modern astrologer, 'we cannot in the ethereal blue discern these lines or terminating divisions, both reason and experience assure us that they certainly exist; therefore the astrologer has certain grounds for the choice of his four angular houses' (out of twelve in all) 'which, resembling the palpable demonstration they afford, are in the astral science esteemed the most powerful of the whole. '—Raphaël'sManual of Astrology.
[26]Arabian writers give the following account of Egyptian progress in astrology and the mystical arts: Nacrawasch, the progenitor of Misraim, was the first Egyptian prince, and the first of the magicians who excelled in astrology and enchantment. Retiring into Egypt with his family of eighty persons, he built Essous, the most ancient city of Egypt, and commenced the first dynasty of Misraimitish princes, who excelled as cabalists, diviners, and in the mystic arts generally. The most celebrated of the race were Naerasch, who first represented by images the twelve signs of the zodiac; Gharnak, who openly described the arts before kept secret; Hersall, who first worshipped idols; Sehlouk, who worshipped the sun; Saurid (King Saurid of Ibn Abd Alkohm's account), who erected the first pyramids and invented the magic mirror; and Pharaoh, the last king of the dynasty, whose name was afterwards taken as a kingly title, as Cæsar later became a general imperial title.
[26]Arabian writers give the following account of Egyptian progress in astrology and the mystical arts: Nacrawasch, the progenitor of Misraim, was the first Egyptian prince, and the first of the magicians who excelled in astrology and enchantment. Retiring into Egypt with his family of eighty persons, he built Essous, the most ancient city of Egypt, and commenced the first dynasty of Misraimitish princes, who excelled as cabalists, diviners, and in the mystic arts generally. The most celebrated of the race were Naerasch, who first represented by images the twelve signs of the zodiac; Gharnak, who openly described the arts before kept secret; Hersall, who first worshipped idols; Sehlouk, who worshipped the sun; Saurid (King Saurid of Ibn Abd Alkohm's account), who erected the first pyramids and invented the magic mirror; and Pharaoh, the last king of the dynasty, whose name was afterwards taken as a kingly title, as Cæsar later became a general imperial title.
[27]It is noteworthy how Swedenborg here anticipates a saying of Laplace, the greatest mathematician the world has known, save Newton alone. Newton's remark that he seemed but as a child who had gathered a few shells on the shores of ocean, is well known. Laplace's words, 'Ce que nous connaissons est peu de chose; ce que nous ignorons est immense,' were not, as is commonly stated, his last. De Morgan gives the following account of Laplace's last moments, on the authority of Laplace's friend and pupil, the well-known mathematician Poisson: 'After the publication (in 1825) of the fifth volume of the Mécanique Céleste, Laplace became gradually weaker, and with it musing and abstracted. He thought much on the great problems of existence, and often muttered to himself, "Qu'est-ce que c'est que tout cela!" After many alternations he appeared at last so permanently prostrated that his family applied to his favourite pupil, M. Poisson, to try to get a word from him. Poisson paid a visit, and after a few words of salutation, said, "J'ai une bonne nouvelle à vous annoncer: on a reçu au Bureau des Longitudes une lettre d'Allemagne annonçant que M. Bessel a vérifié par l'observation vos découvertes théoriques sur les satellites de Jupiter." Laplace opened his eyes and answered with deep gravity. "L'homme ne poursuit que des chimères." He never spoke again. His death took place March 5, 1827.'
[27]It is noteworthy how Swedenborg here anticipates a saying of Laplace, the greatest mathematician the world has known, save Newton alone. Newton's remark that he seemed but as a child who had gathered a few shells on the shores of ocean, is well known. Laplace's words, 'Ce que nous connaissons est peu de chose; ce que nous ignorons est immense,' were not, as is commonly stated, his last. De Morgan gives the following account of Laplace's last moments, on the authority of Laplace's friend and pupil, the well-known mathematician Poisson: 'After the publication (in 1825) of the fifth volume of the Mécanique Céleste, Laplace became gradually weaker, and with it musing and abstracted. He thought much on the great problems of existence, and often muttered to himself, "Qu'est-ce que c'est que tout cela!" After many alternations he appeared at last so permanently prostrated that his family applied to his favourite pupil, M. Poisson, to try to get a word from him. Poisson paid a visit, and after a few words of salutation, said, "J'ai une bonne nouvelle à vous annoncer: on a reçu au Bureau des Longitudes une lettre d'Allemagne annonçant que M. Bessel a vérifié par l'observation vos découvertes théoriques sur les satellites de Jupiter." Laplace opened his eyes and answered with deep gravity. "L'homme ne poursuit que des chimères." He never spoke again. His death took place March 5, 1827.'
[28]The reason assigned by Swedenborg is fanciful enough. 'In the spiritual sense,' he says, 'a horse signifies the intellectual principle formed from scientifics, and as they are afraid of cultivating the intellectual faculties by worldly sciences, from this comes an influx of fear. They care nothing for scientifics which are of human erudition.'
[28]The reason assigned by Swedenborg is fanciful enough. 'In the spiritual sense,' he says, 'a horse signifies the intellectual principle formed from scientifics, and as they are afraid of cultivating the intellectual faculties by worldly sciences, from this comes an influx of fear. They care nothing for scientifics which are of human erudition.'
[29]Similar reasoning applies to the moons of Jupiter, and it so chances that the result in their case comes out exactly the same as in the case of Saturn; all the Jovian moons, if full together, would reflect only the sixteenth part of the light which we receive from the full moon. It is strange that scientific men of considerable mathematical power have used the argument from design apparently supplied by the satellites, without being at the pains to test its validity by the simple mathematical calculations necessary to determine the quantity of light which these bodies can reflect to the planets round which they travel. Brewster and Whewell, though they took opposite sides in the controversy about other inhabited worlds, agreed in this. Brewster, of course, holding the theory that all the planets are inhabited, very naturally accepted the argument from design in this case. Whewell, in opposing that theory, did not dwell at all upon the subjects of the satellites. But in his 'Bridgewater Treatise on Astronomy and General Physics,' he says, 'Taking only the ascertained cases of Venus, the Earth, Jupiter, and Saturn, we conceive that a person of common understanding will be strongly impressed with the persuasion that the satellites are placed in the system with a view to compensate for the diminished light of the sun at greater distances. Mars is an exception; some persons might conjecture from this case that the arrangement itself, like other useful arrangements, has been brought about by some wider law which we have not yet detected. But whether or not we entertain such a guess (it can be nothing more), we see in other parts of creation so many examples of apparent exceptions to rules, which are afterwards found to be capable of explanation, or to be provided for by particular contrivances, that no one familiar with such contemplations will, by one anomaly, be driven from the persuasion that the end which the arrangements of the satellites seem suited to answer is really one of the ends of their creation.'
[29]Similar reasoning applies to the moons of Jupiter, and it so chances that the result in their case comes out exactly the same as in the case of Saturn; all the Jovian moons, if full together, would reflect only the sixteenth part of the light which we receive from the full moon. It is strange that scientific men of considerable mathematical power have used the argument from design apparently supplied by the satellites, without being at the pains to test its validity by the simple mathematical calculations necessary to determine the quantity of light which these bodies can reflect to the planets round which they travel. Brewster and Whewell, though they took opposite sides in the controversy about other inhabited worlds, agreed in this. Brewster, of course, holding the theory that all the planets are inhabited, very naturally accepted the argument from design in this case. Whewell, in opposing that theory, did not dwell at all upon the subjects of the satellites. But in his 'Bridgewater Treatise on Astronomy and General Physics,' he says, 'Taking only the ascertained cases of Venus, the Earth, Jupiter, and Saturn, we conceive that a person of common understanding will be strongly impressed with the persuasion that the satellites are placed in the system with a view to compensate for the diminished light of the sun at greater distances. Mars is an exception; some persons might conjecture from this case that the arrangement itself, like other useful arrangements, has been brought about by some wider law which we have not yet detected. But whether or not we entertain such a guess (it can be nothing more), we see in other parts of creation so many examples of apparent exceptions to rules, which are afterwards found to be capable of explanation, or to be provided for by particular contrivances, that no one familiar with such contemplations will, by one anomaly, be driven from the persuasion that the end which the arrangements of the satellites seem suited to answer is really one of the ends of their creation.'
[30]The reader who cares enough about such subjects to take the necessary trouble, can easily make a little model of Saturn and his ring system, which will very prettily illustrate the effect of the rings both in reflecting light to the planet's darkened hemisphere and in cutting off light from the planet's illuminated hemisphere. Take a ball, say an ordinary hand-ball, and pierce it through the centre with a fine knitting-needle. Cut out a flat ring of card, proportioned to the ball as the ring system of Saturn to his ball. (If the ball is two inches in diameter, strike out on a sheet of cardboard two concentric circles, one of them with a radius of a little more than an inch and a half, the other with a radius of about two inches and three-eights, and cut out the ring between these two circles.) Thrust the knitting-needle through this ring in such a way that the ball shall lie in the middle of the ring, as the globe of Saturn hangs (without knitting-needle connections) in the middle of his ring system. Thrust another knitting-needle centrally through the ball square to the plane of the ring, and use this second needle, which we may call the polar one, as a handle. Now take the ball and ring into sunlight, or the light of a lamp or candle, holding them so that the shadow of the ring is as thin as possible. This represents the position of the shadow at the time of Saturnian spring or autumn. Cause the shadow slowly to shift until it surrounds the part of the ball through which the polar needle passes on one side. This will represent the position of the shadow at the time of midwinter for the hemisphere corresponding to that side of the ball. Notice that while the shadow is traversing this half of the ball, the side of the ring which lies towards that half is in shadow, so that a fly or other small insect on that half of the ball would see the darkened side of the ring. A Saturnian correspondingly placed would get no reflected sunlight from the ring system. Move the ball and ring so that the shadow slowly returns to its first position. You will then have illustrated the changes taking place during one half of a Saturnian year. Continue the motion so that the shadow passes to the other half of the ball, and finally surrounds the other point through which the polar needle passes. The polar point which the shadow before surrounded will now be seen to be in the light, and this half of the ball will illustrate the hemisphere of Saturn where it is midsummer. It will also be seen that the side of the ring towards this half of the ball is now in the light, so that a small insect on this half of the ball would see the bright side of the ring. A Saturnian correspondingly placed would get reflected sunlight from the ring systemboth by day and by night. Moving the ball and ring so that the shadow returns to its first position, an entire Saturnian year will have been illustrated. These changes can be still better shown with a Saturnian orrery (see plate viii. of my Saturn), which can be very easily constructed.
[30]The reader who cares enough about such subjects to take the necessary trouble, can easily make a little model of Saturn and his ring system, which will very prettily illustrate the effect of the rings both in reflecting light to the planet's darkened hemisphere and in cutting off light from the planet's illuminated hemisphere. Take a ball, say an ordinary hand-ball, and pierce it through the centre with a fine knitting-needle. Cut out a flat ring of card, proportioned to the ball as the ring system of Saturn to his ball. (If the ball is two inches in diameter, strike out on a sheet of cardboard two concentric circles, one of them with a radius of a little more than an inch and a half, the other with a radius of about two inches and three-eights, and cut out the ring between these two circles.) Thrust the knitting-needle through this ring in such a way that the ball shall lie in the middle of the ring, as the globe of Saturn hangs (without knitting-needle connections) in the middle of his ring system. Thrust another knitting-needle centrally through the ball square to the plane of the ring, and use this second needle, which we may call the polar one, as a handle. Now take the ball and ring into sunlight, or the light of a lamp or candle, holding them so that the shadow of the ring is as thin as possible. This represents the position of the shadow at the time of Saturnian spring or autumn. Cause the shadow slowly to shift until it surrounds the part of the ball through which the polar needle passes on one side. This will represent the position of the shadow at the time of midwinter for the hemisphere corresponding to that side of the ball. Notice that while the shadow is traversing this half of the ball, the side of the ring which lies towards that half is in shadow, so that a fly or other small insect on that half of the ball would see the darkened side of the ring. A Saturnian correspondingly placed would get no reflected sunlight from the ring system. Move the ball and ring so that the shadow slowly returns to its first position. You will then have illustrated the changes taking place during one half of a Saturnian year. Continue the motion so that the shadow passes to the other half of the ball, and finally surrounds the other point through which the polar needle passes. The polar point which the shadow before surrounded will now be seen to be in the light, and this half of the ball will illustrate the hemisphere of Saturn where it is midsummer. It will also be seen that the side of the ring towards this half of the ball is now in the light, so that a small insect on this half of the ball would see the bright side of the ring. A Saturnian correspondingly placed would get reflected sunlight from the ring systemboth by day and by night. Moving the ball and ring so that the shadow returns to its first position, an entire Saturnian year will have been illustrated. These changes can be still better shown with a Saturnian orrery (see plate viii. of my Saturn), which can be very easily constructed.
[31]Not 'of course' because Tycho used it, for, like other able students of science, he made mistakes from time to time. Thus he argued that the earth cannot rotate on her axis, because if she did bodies raised above her surface would be left behind—an argument which even the mechanical knowledge of his own time should have sufficed to invalidate, though it is still used from time to time by paradoxers of our own day.
[31]Not 'of course' because Tycho used it, for, like other able students of science, he made mistakes from time to time. Thus he argued that the earth cannot rotate on her axis, because if she did bodies raised above her surface would be left behind—an argument which even the mechanical knowledge of his own time should have sufficed to invalidate, though it is still used from time to time by paradoxers of our own day.
[32]Chinese chronicles contain other references to new stars. The annals of Ma-touan-lin, which contain the official records of remarkable appearances in the heavens, include some phenomena which manifestly belong to this class. Thus they record that in the year 173 a star appeared between the stars which mark the hind feet of the Centaur. This star remained visible from December in that year until July in the next (about the same time as Tycho Brahe's and Kepler's new stars, presently to be described). Another star, assigned by these annals to the year 1011, seems to be the same as a star referred to by Hepidannus as appearingA.D.1012. It was of extraordinary brilliancy, and remained visible in the southern part of the heavens during three months. The annals of Ma-touan-lin assign to it a position low down in Sagittarius.
[32]Chinese chronicles contain other references to new stars. The annals of Ma-touan-lin, which contain the official records of remarkable appearances in the heavens, include some phenomena which manifestly belong to this class. Thus they record that in the year 173 a star appeared between the stars which mark the hind feet of the Centaur. This star remained visible from December in that year until July in the next (about the same time as Tycho Brahe's and Kepler's new stars, presently to be described). Another star, assigned by these annals to the year 1011, seems to be the same as a star referred to by Hepidannus as appearingA.D.1012. It was of extraordinary brilliancy, and remained visible in the southern part of the heavens during three months. The annals of Ma-touan-lin assign to it a position low down in Sagittarius.
[33]Still a circumstance must be mentioned which tends to show that the star may have been visible a few hours earlier than Dr. Schmidt supposed. Mr. M. Walter, surgeon of the 4th regiment, then stationed in North India, wrote (oddly enough, on May 12, 1867, the first anniversary of Mr. Birmingham's discovery) as follows to Mr. Stone:—'I am certain that this same conflagration was distinctly perceptible here at least six hours earlier. My knowledge of the fact came about in this wise. The night of the 12th of May last year was exceedingly sultry, and about eight o'clock on that evening I got up from the tea-table and rushed into my garden to seek a cooler atmosphere. As my door opens towards the east, the first object that met my view was the Northern Crown. My attention was at once arrested by the sight of a strange star outside the crown' (that is, outside the circlet of stars forming the diadem, not outside the constellation itself). The new star 'was then certainly quite as bright—I rather thought more so—as its neighbour Alphecca,' the chief gem of the crown. 'I was so much struck with its appearance, that I exclaimed to those indoors, "Why, here is a new comet!'" He made a diagram of the constellation, showing the place of the new star correctly. Unfortunately, Mr. Walter does not state why he is so confident, a year after the event, that it was on the 12th of May, and not on the 13th, that he noticed the new star. If he fixed the date only by the star's appearance as a second-magnitude star, his letter proves nothing; for we know that on the 13th it was still shining as brightly as Alphecca, though on the 14th it was perceptibly fainter.
[33]Still a circumstance must be mentioned which tends to show that the star may have been visible a few hours earlier than Dr. Schmidt supposed. Mr. M. Walter, surgeon of the 4th regiment, then stationed in North India, wrote (oddly enough, on May 12, 1867, the first anniversary of Mr. Birmingham's discovery) as follows to Mr. Stone:—'I am certain that this same conflagration was distinctly perceptible here at least six hours earlier. My knowledge of the fact came about in this wise. The night of the 12th of May last year was exceedingly sultry, and about eight o'clock on that evening I got up from the tea-table and rushed into my garden to seek a cooler atmosphere. As my door opens towards the east, the first object that met my view was the Northern Crown. My attention was at once arrested by the sight of a strange star outside the crown' (that is, outside the circlet of stars forming the diadem, not outside the constellation itself). The new star 'was then certainly quite as bright—I rather thought more so—as its neighbour Alphecca,' the chief gem of the crown. 'I was so much struck with its appearance, that I exclaimed to those indoors, "Why, here is a new comet!'" He made a diagram of the constellation, showing the place of the new star correctly. Unfortunately, Mr. Walter does not state why he is so confident, a year after the event, that it was on the 12th of May, and not on the 13th, that he noticed the new star. If he fixed the date only by the star's appearance as a second-magnitude star, his letter proves nothing; for we know that on the 13th it was still shining as brightly as Alphecca, though on the 14th it was perceptibly fainter.
[34]The velocity of three or four miles per second inferred by the elder Struve must now be regarded (as I long since pointed out would prove to be the case) as very far short of the real velocity of our system's motion through stellar space.
[34]The velocity of three or four miles per second inferred by the elder Struve must now be regarded (as I long since pointed out would prove to be the case) as very far short of the real velocity of our system's motion through stellar space.
[35]M. Cornu's observations are full of interest, and he deserves considerable credit for his energy in availing himself of the few favourable opportunities he had for making them. But he goes beyond his province in adding to his account of them some remarks, intended apparently as a reflection on Mr. Huggins's speculations respecting the star in the Northern Crown. 'I,' says M. Cornu, 'will not try to form any hypothesis about the cause of the outburst. To do so would be unscientific, and such speculations, though interesting, cumber science wofully.' This is sheer nonsense, and comes very ill from an observer whose successes in science have been due entirely to the employment of methods of observation which would have had no existence had others been as unready to think out the meaning of observed facts as he appears to be himself.
[35]M. Cornu's observations are full of interest, and he deserves considerable credit for his energy in availing himself of the few favourable opportunities he had for making them. But he goes beyond his province in adding to his account of them some remarks, intended apparently as a reflection on Mr. Huggins's speculations respecting the star in the Northern Crown. 'I,' says M. Cornu, 'will not try to form any hypothesis about the cause of the outburst. To do so would be unscientific, and such speculations, though interesting, cumber science wofully.' This is sheer nonsense, and comes very ill from an observer whose successes in science have been due entirely to the employment of methods of observation which would have had no existence had others been as unready to think out the meaning of observed facts as he appears to be himself.
[36]The same peculiarity has been noticed since the discovery of the dark ring, the space within that ring being observed by Coolidge and G. Bond at Harvard in 1856 to be apparently darker than the surrounding sky.
[36]The same peculiarity has been noticed since the discovery of the dark ring, the space within that ring being observed by Coolidge and G. Bond at Harvard in 1856 to be apparently darker than the surrounding sky.
[37]I cannot understand why Mr. Webb, in his interesting little work,Celestial Objects for Common Telescopes, says that the satellite theory of the rings certainly seems insufficient to account for the phenomena of the dark ring. It seems, on the contrary, manifest that the dark ring can scarcely be explained in any other way. The observations recently made are altogether inexplicable on any other theory.
[37]I cannot understand why Mr. Webb, in his interesting little work,Celestial Objects for Common Telescopes, says that the satellite theory of the rings certainly seems insufficient to account for the phenomena of the dark ring. It seems, on the contrary, manifest that the dark ring can scarcely be explained in any other way. The observations recently made are altogether inexplicable on any other theory.
[38]A gentleman, whose acquaintance I made in returning from America last spring, assured me that he had found demonstrative evidence showing that a total eclipse of the moon then occurred; for he could prove that Abraham's vision occurred at the time of full moon, so that it could not otherwise have been dark when the sun went down (v. 17). But the horror of great darkness occurred when the sun was going down, and total eclipses of the moon do not behave that way—at least, in our time.
[38]A gentleman, whose acquaintance I made in returning from America last spring, assured me that he had found demonstrative evidence showing that a total eclipse of the moon then occurred; for he could prove that Abraham's vision occurred at the time of full moon, so that it could not otherwise have been dark when the sun went down (v. 17). But the horror of great darkness occurred when the sun was going down, and total eclipses of the moon do not behave that way—at least, in our time.
[39]It is not easy to understand what else it could have been. The notion that a conjunction of three planets, which took place shortly before the time of Christ's birth, gave rise to the tradition of the star in the east, though propounded by a former president of the Astronomical Society, could hardly be entertained by an astronomer, unless he entirely rejected Matthew's account, which the author of this theory, being a clergyman, can scarcely have done.
[39]It is not easy to understand what else it could have been. The notion that a conjunction of three planets, which took place shortly before the time of Christ's birth, gave rise to the tradition of the star in the east, though propounded by a former president of the Astronomical Society, could hardly be entertained by an astronomer, unless he entirely rejected Matthew's account, which the author of this theory, being a clergyman, can scarcely have done.
[40]As, for instance, when he makes Homer say of the moon thatAround her throne the vivid planets roll,And stars unnumbered gild the glowing pole.It is difficult, indeed, to understand how so thorough an astronomer as the late Admiral Smyth could have called the passage in which these lines occur one of the finest bursts of poetry in our language, except on the principle cleverly cited by Waller when Charles II. upbraided him for the warmth of his panegyric on Cromwell, that 'poets succeed better with fiction than with truth.' Macaulay, though not an astronomer, speaks more justly of the passage in saying that this single passage contains more inaccuracies than can be found in all Wordsworth's 'Excursion.'
[40]As, for instance, when he makes Homer say of the moon that
Around her throne the vivid planets roll,And stars unnumbered gild the glowing pole.
It is difficult, indeed, to understand how so thorough an astronomer as the late Admiral Smyth could have called the passage in which these lines occur one of the finest bursts of poetry in our language, except on the principle cleverly cited by Waller when Charles II. upbraided him for the warmth of his panegyric on Cromwell, that 'poets succeed better with fiction than with truth.' Macaulay, though not an astronomer, speaks more justly of the passage in saying that this single passage contains more inaccuracies than can be found in all Wordsworth's 'Excursion.'
[41]It may be necessary to throw in here a few words of explanation, lest the non-astronomical reader should run away with the idea that the so-called exact science is a very inexact science indeed, so far as comets are concerned. The comet of 1680 was one of those which travel on a very eccentric orbit. Coming, indeed, from out depths many times more remote than the path even of the remotest planet, Neptune, this comet approached nearer to the sun than any which astronomers have ever seen, except only the comet of 1843. When at its nearest its nucleus was only a sixth part of the sun's diameter from his surface. Thus the part of the comet's orbit along which astronomers traced its motion was only a small part at one end of an enormously long oval, and very slight errors of observation were sufficient to produce very large errors in the determination of the nature of the comet's orbit. Encke admitted that the period might, so far as the comparatively imperfect observations made in 1680 were concerned, be any whatever, from 805 years to many millions of years, or even to infinity—that is, the comet might have a path not re-entering into itself, but carrying the comet for ever away from the sun after its one visit to our system.
[41]It may be necessary to throw in here a few words of explanation, lest the non-astronomical reader should run away with the idea that the so-called exact science is a very inexact science indeed, so far as comets are concerned. The comet of 1680 was one of those which travel on a very eccentric orbit. Coming, indeed, from out depths many times more remote than the path even of the remotest planet, Neptune, this comet approached nearer to the sun than any which astronomers have ever seen, except only the comet of 1843. When at its nearest its nucleus was only a sixth part of the sun's diameter from his surface. Thus the part of the comet's orbit along which astronomers traced its motion was only a small part at one end of an enormously long oval, and very slight errors of observation were sufficient to produce very large errors in the determination of the nature of the comet's orbit. Encke admitted that the period might, so far as the comparatively imperfect observations made in 1680 were concerned, be any whatever, from 805 years to many millions of years, or even to infinity—that is, the comet might have a path not re-entering into itself, but carrying the comet for ever away from the sun after its one visit to our system.
[42]For a portion of the passages which I have quoted in this essay I am indebted to Guillemin's 'Treatise on Comets,' a useful contribution to the literature of the subject, though somewhat inadequate so far as exposition is concerned.
[42]For a portion of the passages which I have quoted in this essay I am indebted to Guillemin's 'Treatise on Comets,' a useful contribution to the literature of the subject, though somewhat inadequate so far as exposition is concerned.
[43]Something very similar happened only a few years ago, so that we cannot afford to laugh too freely at the terrors of France in 1773. It was reported during the winter of 1871–1872, that Plantamour, the Swiss astronomer, had predicted the earth's destruction by a comet on August 12, 1872. Yet there was no other foundation for this rumour than the fact that Plantamour, in a lecture upon comets and meteors, had stated that the meteors seen on August 10, 11, and 12 are bodies following in the track of a comet whose orbit passes very near to the earth's. It was very certainly known to astronomers that there could be no present danger of a collision with this comet, for the comet has a period of at least 150 years, and had last passed close to the earth's orbit (not to the earth herself, be it understood) in 1862. But it was useless to point this out. Many people insisted on believing that on August 12, 1872, the earth would come into collision, possibly disastrous, with a mighty comet, which Plantamour was said to have detected and to have shown by a profound calculation to be rushing directly upon our unfortunate earth.
[43]Something very similar happened only a few years ago, so that we cannot afford to laugh too freely at the terrors of France in 1773. It was reported during the winter of 1871–1872, that Plantamour, the Swiss astronomer, had predicted the earth's destruction by a comet on August 12, 1872. Yet there was no other foundation for this rumour than the fact that Plantamour, in a lecture upon comets and meteors, had stated that the meteors seen on August 10, 11, and 12 are bodies following in the track of a comet whose orbit passes very near to the earth's. It was very certainly known to astronomers that there could be no present danger of a collision with this comet, for the comet has a period of at least 150 years, and had last passed close to the earth's orbit (not to the earth herself, be it understood) in 1862. But it was useless to point this out. Many people insisted on believing that on August 12, 1872, the earth would come into collision, possibly disastrous, with a mighty comet, which Plantamour was said to have detected and to have shown by a profound calculation to be rushing directly upon our unfortunate earth.
[44]A rather amusing mistake was made by the stenographers of a New York paper in reporting the above sentence, which I happened to quote in a lecture upon Comets and Meteors. Instead of Paradise they wrote Paris. Those acquainted with Pitman's system of short-hand, the one most commonly employed by reporters, will easily understand how the mistake was made, the marks made to represent the consonants p, r, d, and s differing little from those made to represent the consonants p, r, and s (the 'd' or 't' sound is represented, or may be represented, by simply shortening the length of the sign for the preceding consonant). The mistake led naturally to my remarking in my next lecture that I had not before known how thoroughly synonymous the words are in America, though I had heard it said that 'Good Americans, when they die, go to Paris.'
[44]A rather amusing mistake was made by the stenographers of a New York paper in reporting the above sentence, which I happened to quote in a lecture upon Comets and Meteors. Instead of Paradise they wrote Paris. Those acquainted with Pitman's system of short-hand, the one most commonly employed by reporters, will easily understand how the mistake was made, the marks made to represent the consonants p, r, d, and s differing little from those made to represent the consonants p, r, and s (the 'd' or 't' sound is represented, or may be represented, by simply shortening the length of the sign for the preceding consonant). The mistake led naturally to my remarking in my next lecture that I had not before known how thoroughly synonymous the words are in America, though I had heard it said that 'Good Americans, when they die, go to Paris.'
[45]On the occasion of my first visit to America, in 1873, I for the first time succeeded in obtaining a copy of this curious pamphlet. It had been mentioned to me (by Emerson, I think) as an amusing piece of trickery played off by a scientific man on his brethren; and Dr. Wendell Holmes, who was present, remarked that he had a copy in his possession. This he was good enough to lend me. Soon after, a valued friend in New York presented me with a copy.
[45]On the occasion of my first visit to America, in 1873, I for the first time succeeded in obtaining a copy of this curious pamphlet. It had been mentioned to me (by Emerson, I think) as an amusing piece of trickery played off by a scientific man on his brethren; and Dr. Wendell Holmes, who was present, remarked that he had a copy in his possession. This he was good enough to lend me. Soon after, a valued friend in New York presented me with a copy.
[46]This Locke must not be confounded with Richard Lock, the circle-squarer and general paradoxist, who flourished a century earlier.
[46]This Locke must not be confounded with Richard Lock, the circle-squarer and general paradoxist, who flourished a century earlier.
[47]The nurses' tale is, that the man was sent to the moon by Moses for gathering sticks on the Sabbath, and they refer to the cheerful story in Numbers xv. 32–36. According to German nurses the day was not the Sabbath, but Sunday. Their tale runs as follows: 'Ages ago there went one Sunday an old man into the woods to hew sticks. He cut a faggot and slung it on a stout staff, cast it over his shoulder, and began to trudge home with his burthen. On his way he met a handsome man in Sunday suit, walking towards the church. The man stopped, and asked the faggot-bearer; "Do you know that this is Sunday on earth, when all must rest from their labours?" "Sunday on earth or Monday in heaven, it's all one to me?" laughed the wood-cutter. "Then bear your bundle for ever!" answered the stranger. "And as you value not Sunday on earth, yours shall be a perpetual Moon-day in heaven; you shall stand for eternity in the moon, a warning to all Sabbath-breakers." Thereupon the stranger vanished; and the man was caught up with his staff and faggot into the moon, where he stands yet.' According to some narrators the stranger was Christ; but whether from German laxity in such matters or for some other reason, no text is quoted in evidence, as by the more orthodox British nurses. Luke vi. 1–5 might serve.
[47]The nurses' tale is, that the man was sent to the moon by Moses for gathering sticks on the Sabbath, and they refer to the cheerful story in Numbers xv. 32–36. According to German nurses the day was not the Sabbath, but Sunday. Their tale runs as follows: 'Ages ago there went one Sunday an old man into the woods to hew sticks. He cut a faggot and slung it on a stout staff, cast it over his shoulder, and began to trudge home with his burthen. On his way he met a handsome man in Sunday suit, walking towards the church. The man stopped, and asked the faggot-bearer; "Do you know that this is Sunday on earth, when all must rest from their labours?" "Sunday on earth or Monday in heaven, it's all one to me?" laughed the wood-cutter. "Then bear your bundle for ever!" answered the stranger. "And as you value not Sunday on earth, yours shall be a perpetual Moon-day in heaven; you shall stand for eternity in the moon, a warning to all Sabbath-breakers." Thereupon the stranger vanished; and the man was caught up with his staff and faggot into the moon, where he stands yet.' According to some narrators the stranger was Christ; but whether from German laxity in such matters or for some other reason, no text is quoted in evidence, as by the more orthodox British nurses. Luke vi. 1–5 might serve.
[48]Milton's opinion may be quoted against me here; and as received ideas respecting angels, good and bad, the fall of man, and many other such matters, are due quite as much to Milton as to any other authority, his opinion must not be lightly disregarded. But though, when Milton's Satan 'meets a vast vacuity' where his wings are of no further service to him,'All unawaresFlutt'ring his pennons vain, plumb down he dropsTen thousand fathoms deep, and to this hourDown had been falling, had not by ill chanceThe strong rebuff of some tumultuous cloud,Instinct with fire and nitre, hurried himAs many miles aloft,'yet this was written nearly a quarter of a century before Newton had established the law of gravity. Moreover, there is no evidence to show in what direction Satan fell; 'above is below and below above,' says Richter, 'to one stripped of gravitating body;' and whether Satan was under the influence of gravity or not, he would be practically exempt from its action when in the midst of that 'dark, illimitable ocean' of space,'Without bound,Without dimensions, where length, breadth, and height,And time and place are lost.'His lighting 'on Niphates' top,' and overleaping the gate of Paradise, may be used as arguments either way. On the whole, I must (according to my present lights) claim for Satan a freedom from all scientific restraints. This freedom is exemplified by his showing all the kingdoms of the world from an exceeding high mountain, thus affording the first practical demonstration of the flat-earth theory, the maintenance of which led to poor Mr. Hampden's incarceration.
[48]Milton's opinion may be quoted against me here; and as received ideas respecting angels, good and bad, the fall of man, and many other such matters, are due quite as much to Milton as to any other authority, his opinion must not be lightly disregarded. But though, when Milton's Satan 'meets a vast vacuity' where his wings are of no further service to him,
'All unawaresFlutt'ring his pennons vain, plumb down he dropsTen thousand fathoms deep, and to this hourDown had been falling, had not by ill chanceThe strong rebuff of some tumultuous cloud,Instinct with fire and nitre, hurried himAs many miles aloft,'
yet this was written nearly a quarter of a century before Newton had established the law of gravity. Moreover, there is no evidence to show in what direction Satan fell; 'above is below and below above,' says Richter, 'to one stripped of gravitating body;' and whether Satan was under the influence of gravity or not, he would be practically exempt from its action when in the midst of that 'dark, illimitable ocean' of space,
'Without bound,Without dimensions, where length, breadth, and height,And time and place are lost.'
His lighting 'on Niphates' top,' and overleaping the gate of Paradise, may be used as arguments either way. On the whole, I must (according to my present lights) claim for Satan a freedom from all scientific restraints. This freedom is exemplified by his showing all the kingdoms of the world from an exceeding high mountain, thus affording the first practical demonstration of the flat-earth theory, the maintenance of which led to poor Mr. Hampden's incarceration.
[49]TheSunitself claimed to have established the veracity of the account in a manner strongly recalling a well-known argument used by orthodox believers in the Bible account of the cosmogony. Either, say these, Moses discovered how the world was made, or the facts were revealed to him by some one who had made the discovery: but Moses could not have made the discovery, knowing nothing of the higher departments of science; therefore, the account came from the only Being who could rationally be supposed to know anything about the beginning of the world. 'Either,' said theNew York Sun, speaking of a mathematical problem discussed in the article, 'that problem was predicated by us or some other person, who has thereby made the greatest of all modern discoveries in mathematical astronomy. We did not make it, for we know nothing of mathematics whatever; therefore, it was made by the only person to whom it can rationally be ascribed, namely Herschel the astronomer, its only avowed and undeniable author.' In reality, notwithstanding this convincing argument, the problem was stolen by Locke from a paper by Olbers, shortly before published, and gave the method followed by Beer and Mädler throughout their selenographical researches in 1833–37.
[49]TheSunitself claimed to have established the veracity of the account in a manner strongly recalling a well-known argument used by orthodox believers in the Bible account of the cosmogony. Either, say these, Moses discovered how the world was made, or the facts were revealed to him by some one who had made the discovery: but Moses could not have made the discovery, knowing nothing of the higher departments of science; therefore, the account came from the only Being who could rationally be supposed to know anything about the beginning of the world. 'Either,' said theNew York Sun, speaking of a mathematical problem discussed in the article, 'that problem was predicated by us or some other person, who has thereby made the greatest of all modern discoveries in mathematical astronomy. We did not make it, for we know nothing of mathematics whatever; therefore, it was made by the only person to whom it can rationally be ascribed, namely Herschel the astronomer, its only avowed and undeniable author.' In reality, notwithstanding this convincing argument, the problem was stolen by Locke from a paper by Olbers, shortly before published, and gave the method followed by Beer and Mädler throughout their selenographical researches in 1833–37.
[50]I had at the same time the good fortune to satisfy in equal degree, though quite unexpectedly, an English student of the sun, who at that time bore me no great good-will. Something in the article chanced to suggest that it came from another, presumably a rival, hand; while an essay which appeared about the same time (the spring of 1872) was commonly but erroneously attributed to me. Accordingly, a leading article inNaturewas devoted to the annihilation of the writer supposed to be myself, and to the lavish and quite undeserved laudation of the article I had written, which was selected as typifying all the good qualities which an article of the kind should possess. Those acquainted with the facts were not a little amused by the mistake.
[50]I had at the same time the good fortune to satisfy in equal degree, though quite unexpectedly, an English student of the sun, who at that time bore me no great good-will. Something in the article chanced to suggest that it came from another, presumably a rival, hand; while an essay which appeared about the same time (the spring of 1872) was commonly but erroneously attributed to me. Accordingly, a leading article inNaturewas devoted to the annihilation of the writer supposed to be myself, and to the lavish and quite undeserved laudation of the article I had written, which was selected as typifying all the good qualities which an article of the kind should possess. Those acquainted with the facts were not a little amused by the mistake.
[51]The Astronomer-Royal once told me that he had found that few persons have a clear conception of the fact that the stars rise and set. Still fewer know how the stars move, which stars rise and set, which are always above the horizon, which move on large circles, which on small ones; though a few hours' observation on half-a-dozen nights in the year (such observations being continuous, but made only at hourly intervals) would show dearly how the stars move. It is odd to find even some who write about astronomy making mistakes on matters so elementary. For instance, in a primer of astronomy recently published, it is stated that the stars which pass overhead in London rise and set on a slant—the real fact being thatthosestars never rise or set at all, never coming within some two dozen moon-breadths of the horizon.
[51]The Astronomer-Royal once told me that he had found that few persons have a clear conception of the fact that the stars rise and set. Still fewer know how the stars move, which stars rise and set, which are always above the horizon, which move on large circles, which on small ones; though a few hours' observation on half-a-dozen nights in the year (such observations being continuous, but made only at hourly intervals) would show dearly how the stars move. It is odd to find even some who write about astronomy making mistakes on matters so elementary. For instance, in a primer of astronomy recently published, it is stated that the stars which pass overhead in London rise and set on a slant—the real fact being thatthosestars never rise or set at all, never coming within some two dozen moon-breadths of the horizon.
[52]In passing let me note that, of course, I am not discussing the arguments of paradoxists with the remotest idea of disproving them. They are not, in reality, worth the trouble. But they show where the general reader of astronomical text-books, and other such works, is likely to go astray, and thus conveniently indicate matters whose explanation may be useful or interesting.
[52]In passing let me note that, of course, I am not discussing the arguments of paradoxists with the remotest idea of disproving them. They are not, in reality, worth the trouble. But they show where the general reader of astronomical text-books, and other such works, is likely to go astray, and thus conveniently indicate matters whose explanation may be useful or interesting.
[53]Sterne anticipated this paradoxist in (jestingly) attributing glassiness to an inferior planet. He made the inhabitants, however, not the air, glassy. 'The intense heat of the country,' he says, speaking of the planet Mercury, 'must, I think, long ago have vitrified the bodies of the inhabitants to suit them for the climate; so that all the tenements of their souls may be nothing else, for aught the soundest philosophy can show to the contrary, but one fine transparent body of clear glass; so that till the inhabitant grows old and tolerably wrinkled, whereby the rays of light become monstrously refracted, or return reflected from the surface, etc., his soul might as well play the fool out o' doors as in her own house.'
[53]Sterne anticipated this paradoxist in (jestingly) attributing glassiness to an inferior planet. He made the inhabitants, however, not the air, glassy. 'The intense heat of the country,' he says, speaking of the planet Mercury, 'must, I think, long ago have vitrified the bodies of the inhabitants to suit them for the climate; so that all the tenements of their souls may be nothing else, for aught the soundest philosophy can show to the contrary, but one fine transparent body of clear glass; so that till the inhabitant grows old and tolerably wrinkled, whereby the rays of light become monstrously refracted, or return reflected from the surface, etc., his soul might as well play the fool out o' doors as in her own house.'
[54]It will be seen from Table X. of my treatise on Saturn that the ring disappeared on December 12, remaining invisible (because turning its dark side earthwards) till the spring of 1613. But on December 4, the ring must have been quite invisible in a telescope so feeble as Galileo's. The ring then would have been little more than a fine line of light as seen with one of our powerful modern telescopes.
[54]It will be seen from Table X. of my treatise on Saturn that the ring disappeared on December 12, remaining invisible (because turning its dark side earthwards) till the spring of 1613. But on December 4, the ring must have been quite invisible in a telescope so feeble as Galileo's. The ring then would have been little more than a fine line of light as seen with one of our powerful modern telescopes.
[55]North British Reviewfor August 1860.
[55]North British Reviewfor August 1860.
[56]He had, indeed, at an earlier stage, shown a marvellous ignorance of astronomy by the remark, which doubtless appeared to him a safe one, that when he saw a planet on the sun in September he supposed it was Mercury; a September transit of Mercury being as impossible as an eclipse of the sun during the moon's third quarter.
[56]He had, indeed, at an earlier stage, shown a marvellous ignorance of astronomy by the remark, which doubtless appeared to him a safe one, that when he saw a planet on the sun in September he supposed it was Mercury; a September transit of Mercury being as impossible as an eclipse of the sun during the moon's third quarter.
[57]It is, by the way, somewhat amusing to find Baron Humboldt referring a question of this sort to the great mathematician Gauss, and describing the problem as though it involved the most profound calculations. Ten minutes should suffice to deal with any problem of the kind.
[57]It is, by the way, somewhat amusing to find Baron Humboldt referring a question of this sort to the great mathematician Gauss, and describing the problem as though it involved the most profound calculations. Ten minutes should suffice to deal with any problem of the kind.