“Cal.Hast thou not dropt from heaven?“Steph.Out o’ th’ moon, I do assure thee. I was the man in th’ moon when time was.“Cal.I have seen thee in her; and I do adore thee. My mistress showed me thee, and thy dog, and thy bush.”
“Cal.Hast thou not dropt from heaven?
“Steph.Out o’ th’ moon, I do assure thee. I was the man in th’ moon when time was.
“Cal.I have seen thee in her; and I do adore thee. My mistress showed me thee, and thy dog, and thy bush.”
The dog I have myself had pointed out to me by an old Devonshire crone. If popular superstition places a dog in the moon, it puts a lamb in the sun; for in the same county it is said that those who see the sun rise on Easter-day, may behold in the orb the lamb and flag.
I believe this idea of locating animals in the two great luminaries of heaven to be very ancient, and to be a relic of a primeval superstition of the Aryan race.
There is an ancient pictorial representation of our friend the Sabbath-breaker in Gyffyn Church,near Conway. The roof of the chancel is divided into compartments, in four of which are the Evangelistic symbols, rudely, yet effectively painted. Besides these symbols is delineated in each compartment an orb of heaven. The sun, the moon, and two stars, are placed at the feet of the Angel, the Bull, the Lion, and the Eagle. The representation of the moon is as below; in the disk is the conventional man with his bundle of sticks, but without the dog. There is also a curious seal appended to a deed preserved in the Record Office, dated the 9th year of Edward the Third (1335), bearing the man in the moon as its device. The deed is one of conveyance of a messuage, barn, and four acres of ground, in the parish of Kingston-on-Thames, from Walter de Grendesse, clerk, to Margaret his mother. On the seal we see the mancarrying his sticks, and the moon surrounds him. There are also a couple of stars added, perhaps to show that he is in the sky. The legend on the seal reads:—
“Te Waltere docebocur spinas phebogero,”
which may be translated, “I will teach thee, Walter, why I carry thorns in the moon.”
Representation of the moon in Gyffyn Church
The seal with the legend visible
The general superstition with regard to the spots in the moon may briefly be summed up thus: A man is located in the moon; he is a thief or Sabbath-breaker;[34]he has a pole over his shoulder, fromwhich is suspended a bundle of sticks or thorns. In some places a woman is believed to accompany him, and she has a butter-tub with her; in other localities she is replaced by a dog.
The belief in the Moon-man seems to exist among the natives of British Columbia; for I read in one of Mr. Duncan’s letters to the Church Missionary Society, “One very dark night I was told that there was a moon to see on the beach. On going to see, there was an illuminated disk, with the figure of a man upon it. The water was then very low, and one of the conjuring parties had lit up this disk at the water’s edge. They had made it of wax, with great exactness, and presently it was at full. It was an imposing sight. Nothing could be seen around it; but the Indians suppose that the medicine party are then holding converse with the man in the moon.... After a short time the moon waned away, and the conjuring party returned whooping to their house.”
Now let us turn to Scandinavian mythology, and see what we learn from that source.
Mâni, the moon, stole two children from their parents, and carried them up to heaven. Theirnames were Hjuki and Bil. They had been drawing water from the well Byrgir, in the bucket Sœgr, suspended from the pole Simul, which they bore upon their shoulders. These children, pole, and bucket were placed in heaven, “where they could be seen from earth.” This refers undoubtedly to the spots in the moon; and so the Swedish peasantry explain these spots to this day, as representing a boy and a girl bearing a pail of water between them. Are we not reminded at once of our nursery rhyme—
“Jack and Jill went up a hillTo fetch a pail of water;Jack fell down, and broke his crown,And Jill came tumbling after”?
“Jack and Jill went up a hillTo fetch a pail of water;Jack fell down, and broke his crown,And Jill came tumbling after”?
“Jack and Jill went up a hillTo fetch a pail of water;Jack fell down, and broke his crown,And Jill came tumbling after”?
This verse, which to us seems at first sight nonsense, I have no hesitation in saying has a high antiquity, and refers to the Eddaic Hjuki and Bil. The names indicate as much. Hjuki, in Norse, would be pronounced Juki, which would readily become Jack; and Bil, for the sake of euphony, and in order to give a female name to one of the children, would become Jill.
The fall of Jack, and the subsequent fall of Jill,simply represent the vanishing of one moon-spot after another, as the moon wanes.
But the old Norse myth had a deeper signification than merely an explanation of the moon-spots.
Hjuki is derived from the verb jakka, to heap or pile together, to assemble and increase; and Bil from bila, to break up or dissolve. Hjuki and Bil, therefore, signify nothing more than the waxing and waning of the moon, and the water they are represented as bearing signifies the fact that the rainfall depends on the phases of the moon. Waxing and waning were individualized, and the meteorological fact of the connection of the rain with the moon was represented by the children as water-bearers.
But though Jack and Jill became by degrees dissevered in the popular mind from the moon, the original myth went through a fresh phase, and exists still under a new form. The Norse superstition attributedtheftto the moon, and the vulgar soon began to believe that the figure they saw in the moon was the thief. The lunar specks certainly may be made to resemble one figure, and only a lively imagination can discern two. The girl soon dropped out of popular mythology, the boy oldened into avenerable man, he retained his pole, and the bucket was transformed into the thing he had stolen—sticks or vegetables. The theft was in some places exchanged for Sabbath-breaking, especially among those in Protestant countries who were acquainted with the Bible story of the stick-gatherer.
The Indian superstition is worth examining, because of the connection existing between Indian and European mythology, on account of our belonging to the same Aryan stock.
According to a Buddhist legend, Sâkyamunni himself, in one of his earlier stages of existence, was a hare, and lived in friendship with a fox and an ape. In order to test the virtue of the Bodhisattwa, Indra came to the friends, in the form of an old man, asking for food. Hare, ape, and fox went forth in quest of victuals for their guest. The two latter returned from their foraging expedition successful, but the hare had found nothing. Then, rather than that he should treat the old man with inhospitality, the hare had a fire kindled, and cast himself into the flames, that he might himself become food for his guest. In reward for this act of self-sacrifice, Indracarried the hare to heaven, and placed him in the moon.[35]
Here we have an old man and a hare in connection with the lunar planet, just as in Shakspeare we have a fagot-bearer and a dog.
The fable rests upon the name of the moon in Sanskrit, çaçin, or “that marked with the hare;” but whether the belief in the spots taking the shape of a hare gave the name çaçin to the moon, or the lunar name çaçin originated the belief, it is impossible for us to say.
Grounded upon this myth is the curious story of “The Hare and the Elephant,” in the “Pantschatantra,” an ancient collection of Sanskrit fables. It will be found as the first tale in the third book. I have room only for an outline of the story.
In a certain forest lived a mighty elephant, king of a herd, Toothy by name. On a certain occasion there was a long drought, so that pools, tanks,swamps, and lakes were dried up. Then the elephants sent out exploring parties in search of water. A young one discovered an extensive lake surrounded with trees, and teeming with water-fowl. It went by the name of the Moon-lake. The elephants, delighted at the prospect of having an inexhaustible supply of water, marched off to the spot, and found their most sanguine hopes realized. Round about the lake, in the sandy soil, were innumerable hare warrens; and as the herd of elephants trampled on the ground, the hares were severely injured, their homes broken down, their heads, legs, and backs crushed beneath the ponderous feet of the monsters of the forest. As soon as the herd had withdrawn, the hares assembled, some halting, some dripping with blood, some bearing the corpses of their cherished infants, some with piteous tales of ruination in their houses, all with tears streaming from their eyes, and wailing forth, “Alas, we are lost! The elephant-herd will return, for there is no water elsewhere, and that will be the death of all of us.”
But the wise and prudent Longear volunteered to drive the herd away; and he succeeded in this manner: Longear went to the elephants, and havingsingled out their king, he addressed him as follows:—
“Ha, ha! bad elephant! what brings you with such thoughtless frivolity to this strange lake? Back with you at once!”
When the king of the elephants heard this, he asked in astonishment, “Pray, who are you?”
“I,” replied Longear,—“I am Vidschajadatta by name; the hare who resides in the Moon. Now am I sent by his Excellency the Moon as an ambassador to you. I speak to you in the name of the Moon.”
“Ahem! Hare,” said the elephant, somewhat staggered; “and what message have you brought me from his Excellency the Moon?”
“You have this day injured several hares. Are you not aware that they are the subjects of me? If you value your life, venture not near the lake again. Break my command, and I shall withdraw my beams from you at night, and your bodies will be consumed with perpetual sun.”
The elephant, after a short meditation, said, “Friend! it is true that I have acted against the rights of the excellent Majesty of the Moon. Ishould wish to make an apology; how can I do so?”
The hare replied, “Come along with me, and I will show you.”
The elephant asked, “Where is his Excellency at present?”
The other replied, “He is now in the lake, hearing the complaints of the maimed hares.”
“If that be the case,” said the elephant, humbly, “bring me to my lord, that I may tender him my submission.”
So the hare conducted the king of the elephants to the edge of the lake, and showed him the reflection of the moon in the water, saying, “There stands our lord in the midst of the water, plunged in meditation; reverence him with devotion, and then depart with speed.”
Thereupon the elephant poked his proboscis into the water, and muttered a fervent prayer. By so doing he set the water in agitation, so that the reflection of the moon was all of a quiver.
“Look!” exclaimed the hare; “his Majesty is trembling with rage at you!”
“Why is his supreme Excellency enraged with me?” asked the elephant.
“Because you have set the water in motion. Worship him, and then be off!”
The elephant let his ears droop, bowed his great head to the earth, and after having expressed in suitable terms his regret for having annoyed the Moon, and the hare dwelling in it, he vowed never to trouble the Moon-lake again. Then he departed, and the hares have ever since lived there unmolested.
FOOTNOTES:[30]Tobler, Appenz. Sprachsbuch, 20.[31]Wolf, Zeitschrift für Deut. Myth. i. 168.[32]Fischart, Garg. 130.[33]Prætorius, i. 447.[34]Hebel, in his charming poem on the Man in the Moon, in “Allemanische Gedichte,” makes him both thief and Sabbath-breaker.[35]“Mémoires ... par Hjouen Thsang, traduits du Chinois par Stanislas Julien,” i. 375. Upham, “Sacred Books of Ceylon,” iii. 309.
[30]Tobler, Appenz. Sprachsbuch, 20.
[30]Tobler, Appenz. Sprachsbuch, 20.
[31]Wolf, Zeitschrift für Deut. Myth. i. 168.
[31]Wolf, Zeitschrift für Deut. Myth. i. 168.
[32]Fischart, Garg. 130.
[32]Fischart, Garg. 130.
[33]Prætorius, i. 447.
[33]Prætorius, i. 447.
[34]Hebel, in his charming poem on the Man in the Moon, in “Allemanische Gedichte,” makes him both thief and Sabbath-breaker.
[34]Hebel, in his charming poem on the Man in the Moon, in “Allemanische Gedichte,” makes him both thief and Sabbath-breaker.
[35]“Mémoires ... par Hjouen Thsang, traduits du Chinois par Stanislas Julien,” i. 375. Upham, “Sacred Books of Ceylon,” iii. 309.
[35]“Mémoires ... par Hjouen Thsang, traduits du Chinois par Stanislas Julien,” i. 375. Upham, “Sacred Books of Ceylon,” iii. 309.
RAGGED, bald, and desolate, as though a curse rested upon it, rises the Hörselberg out of the rich and populous land between Eisenach and Gotha, looking, from a distance, like a huge stone sarcophagus—a sarcophagus in which rests in magical slumber, till the end of all things, a mysterious world of wonders.
High up on the north-west flank of the mountain, in a precipitous wall of rock, opens a cavern, called the Hörselloch, from the depths of which issues a muffled roar of water, as though a subterraneous stream were rushing over rapidly-whirling millwheels. “When I have stood alone on the ridge of the mountain,” says Bechstein, “after having sought the chasm in vain, I have heard a mighty rush, like that of falling water, beneath my feet, and after scrambling down the scarp, have found myself—how, I never knew—in front of the cave.” (“Sagenschatz des Thüringes-landes,” 1835.)
In ancient days, according to the Thüringian Chronicles, bitter cries and long-drawn moans were heard issuing from this cavern; and at night, wild shrieks and the burst of diabolical laughter would ring from it over the vale, and fill the inhabitants with terror. It was supposed that this hole gave admittance to Purgatory; and the popular but faulty derivation of Hörsel wasHöre, die Seele—Hark, the Souls!
But another popular belief respecting this mountain was, that in it Venus, the pagan Goddess of Love, held her court, in all the pomp and revelry of heathendom; and there were not a few who declared that they had seen fair forms of female beauty beckoning them from the mouth of the chasm, and that they had heard dulcet strains of music well up from the abyss above the thunder of the falling, unseen torrent. Charmed by the music, and allured by the spectral forms, various individuals had entered the cave, and none had returned, except the Tanhäuser, of whom more anon. Still does the Hörselberg go by the name of the Venusberg, a name frequently used in the middle ages, but without its locality being defined.
“In 1398, at midday, there appeared suddenly three great fires in the air, which presently ran together into one globe of flame, parted again, and finally sank into the Hörselberg,” says the Thüringian Chronicle.
And now for the story of Tanhäuser.
A French knight was riding over the beauteous meadows in the Hörsel vale on his way to Wartburg, where the Landgrave Hermann was holding a gathering of minstrels, who were to contend in song for a prize.
Tanhäuser was a famous minnesinger, and all his lays were of love and of women, for his heart was full of passion, and that not of the purest and noblest description.
It was towards dusk that he passed the cliff in which is the Hörselloch, and as he rode by, he saw a white glimmering figure of matchless beauty standing before him, and beckoning him to her. He knew her at once, by her attributes and by her superhuman perfection, to be none other than Venus. As she spake to him, the sweetest strains of music floated in the air, a soft roseate light glowed around her, and nymphs of exquisite loveliness scattered rosesat her feet. A thrill of passion ran through the veins of the minnesinger; and, leaving his horse, he followed the apparition. It led him up the mountain to the cave, and as it went flowers bloomed upon the soil, and a radiant track was left for Tanhäuser to follow. He entered the cavern, and descended to the palace of Venus in the heart of the mountain.
Seven years of revelry and debauch were passed, and the minstrel’s heart began to feel a strange void. The beauty, the magnificence, the variety of the scenes in the pagan goddess’s home, and all its heathenish pleasures, palled upon him, and he yearned for the pure fresh breezes of earth, one look up at the dark night sky spangled with stars, one glimpse of simple mountain-flowers, one tinkle of sheep-bells. At the same time his conscience began to reproach him, and he longed to make his peace with God. In vain did he entreat Venus to permit him to depart, and it was only when, in the bitterness of his grief, he called upon the Virgin-Mother, that a rift in the mountain-side appeared to him, and he stood again above ground.
How sweet was the morning air, balmy with thescent of hay, as it rolled up the mountain to him, and fanned his haggard cheek! How delightful to him was the cushion of moss and scanty grass after the downy couches of the palace of revelry below! He plucked the little heather-bells, and held them before him; the tears rolled from his eyes, and moistened his thin and wasted hands. He looked up at the soft blue sky and the newly-risen sun, and his heart overflowed. What were the golden, jewel-incrusted, lamp-lit vaults beneath to that pure dome of God’s building!
The chime of a village church struck sweetly on his ear, satiated with Bacchanalian songs; and he hurried down the mountain to the church which called him. There he made his confession; but the priest, horror-struck at his recital, dared not give him absolution, but passed him on to another. And so he went from one to another, till at last he was referred to the Pope himself. To the Pope he went. Urban IV. then occupied the chair of St. Peter. To him Tanhäuser related the sickening story of his guilt, and prayed for absolution. Urban was a hard and stern man, and shocked at the immensity of the sin, he thrust the penitent indignantly fromhim, exclaiming, “Guilt such as thine can never, never be remitted. Sooner shall this staff in my hand grow green and blossom, than that God should pardon thee!”
Then Tanhäuser, full of despair, and with his soul darkened, went away, and returned to the only asylum open to him, the Venusberg. But lo! three days after he had gone, Urban discovered that his pastoral staff had put forth buds, and had burst into flower. Then he sent messengers after Tanhäuser, and they reached the Hörsel vale to hear that a wayworn man, with haggard brow and bowed head, had just entered the Hörselloch. Since then Tanhäuser has not been seen.
Such is the sad yet beautiful story of Tanhäuser. It is a very ancient myth Christianized, a wide-spread tradition localized. Originally heathen, it has been transformed, and has acquired new beauty by an infusion of Christianity. Scattered over Europe, it exists in various forms, but in none so graceful as that attached to the Hörselberg. There are, however, other Venusbergs in Germany; as, for instance, in Swabia, near Waldsee; another near Ufhausen, at no great distance from Freiburg (the same storyis told of this Venusberg as of the Hörselberg); in Saxony there is a Venusberg not far from Wolkenstein. Paracelsus speaks of a Venusberg in Italy, referring to that in which Æneas Sylvius (Ep. 16) says Venus or a Sibyl resides, occupying a cavern, and assuming once a week the form of a serpent. Geiler v. Keysersperg, a quaint old preacher of the fifteenth century, speaks of the witches assembling on the Venusberg.
The story, either in prose or verse, has often been printed. Some of the earliest editions are the following:—
“Das Lied von dem Danhewser.” Nürnberg, without date; the same, Nürnberg, 1515.—“Das Lyedt v. d. Thanheuser.” Leyptzk, 1520.—“Das Lied v. d. Danheüser,” reprinted by Bechstein, 1835.—“Das Lied vom edlen Tanheuser, Mons Veneris.” Frankfort, 1614; Leipzig, 1668.—“Twe lede volgen Dat erste vain Danhüsser.” Without date.—“Van heer Danielken.” Tantwerpen, 1544.—A Danish version in “Nyerup, Danske Viser,” No. VIII.
Let us now see some of the forms which this remarkable myth assumed in other countries. Every popular tale has its root, a root which may betraced among different countries, and though the accidents of the story may vary, yet the substance remains unaltered. It has been said that the common people never invent new story-radicals any more than we invent new word-roots; and this is perfectly true. The same story-root remains, but it is varied according to the temperament of the narrator or the exigencies of localization. The story-root of the Venusberg is this:—
The underground folk seek union with human beings.α. A man is enticed into their abode, where he unites with a woman of the underground race.β. He desires to revisit the earth, and escapes.γ. He returns again to the region below.
The underground folk seek union with human beings.
α. A man is enticed into their abode, where he unites with a woman of the underground race.β. He desires to revisit the earth, and escapes.γ. He returns again to the region below.
α. A man is enticed into their abode, where he unites with a woman of the underground race.
β. He desires to revisit the earth, and escapes.
γ. He returns again to the region below.
Now, there is scarcely a collection of folk-lore which does not contain a story founded on this root. It appears in every branch of the Aryan family, and examples might be quoted from Modern Greek, Albanian, Neapolitan, French, German, Danish, Norwegian and Swedish, Icelandic, Scotch, Welsh, and other collections of popular tales. I have only space to mention some.
There is a Norse Tháttr of a certain Helgi Thorir’s son, which is, in its present form, a production of the fourteenth century. Helgi and his brother Thorstein went on a cruise to Finnmark, or Lapland. They reached a ness, and found the land covered with forest. Helgi explored this forest, and lighted suddenly on a party of red-dressed women riding upon red horses. These ladies were beautiful and of troll race. One surpassed the others in beauty, and she was their mistress. They erected a tent and prepared a feast. Helgi observed that all their vessels were of silver and gold. The lady, who named herself Ingibjorg, advanced towards the Norseman, and invited him to live with her. He feasted and lived with the trolls for three days, and then returned to his ship, bringing with him two chests of silver and gold, which Ingibjorg had given him. He had been forbidden to mention where he had been and with whom; so he told no one whence he had obtained the chests. The ships sailed, and he returned home.
One winter’s night Helgi was fetched away from home, in the midst of a furious storm, by two mysterious horsemen, and no one was able to ascertainfor many years what had become of him, till the prayers of the king, Olaf, obtained his release, and then he was restored to his father and brother, but he was thenceforth blind. All the time of his absence he had been with the red-vested lady in her mysterious abode of Glœsisvellir.
The Scotch story of Thomas of Ercildoune is the same story. Thomas met with a strange lady, of elfin race, beneath Eildon Tree, who led him into the underground land, where he remained with her for seven years. He then returned to earth, still, however, remaining bound to come to his royal mistress whenever she should summon him. Accordingly, while Thomas was making merry with his friends in the Tower of Ercildoune, a person came running in, and told, with marks of fear and astonishment, that a hart and a hind had left the neighboring forest, and were parading the street of the village. Thomas instantly arose, left his house, and followed the animals into the forest, from which he never returned. According to popular belief, he still “drees his weird” in Fairy Land, and is one day expected to revisit earth. (Scott, “Minstrelsy of the Scottish Border.”) Compare with this the ancient ballad of Tamlane.
Debes relates that “it happened a good while since, when the burghers of Bergen had the commerce of the Faroe Isles, that there was a man in Serraade, called Jonas Soideman, who was kept by the spirits in a mountain during the space of seven years, and at length came out, but lived afterwards in great distress and fear, lest they should again take him away; wherefore people were obliged to watch him in the night.” The same author mentions another young man who had been carried away, and after his return was removed a second time, upon the eve of his marriage.
Gervase of Tilbury says that “in Catalonia there is a lofty mountain, named Cavagum, at the foot of which runs a river with golden sands, in the vicinity of which there are likewise silver mines. This mountain is steep, and almost inaccessible. On its top, which is always covered with ice and snow, is a black and bottomless lake, into which if a stone be cast, a tempest suddenly arises; and near this lake is the portal of the palace of demons.” He then tells how a young damsel was spirited in there, and spent seven years with the mountain spirits. On her return to earth she was thin andwithered, with wandering eyes, and almost bereft of understanding.
A Swedish story is to this effect. A young man was on his way to his bride, when he was allured into a mountain by a beautiful elfin woman. With her he lived forty years, which passed as an hour; on his return to earth all his old friends and relations were dead, or had forgotten him, and finding no rest there, he returned to his mountain elf-land.
In Pomerania, a laborer’s son, Jacob Dietrich of Rambin, was enticed away in the same manner.
There is a curious story told by Fordun in his “Scotichronicon,” which has some interest in connection with the legend of the Tanhäuser. He relates that in the year 1050, a youth of noble birth had been married in Rome, and during the nuptial feast, being engaged in a game of ball, he took off his wedding-ring, and placed it on the finger of a statue of Venus. When he wished to resume it, he found that the stony hand had become clinched, so that it was impossible to remove the ring. Thenceforth he was haunted by the Goddess Venus, who constantly whispered in his ear, “Embrace me; I am Venus, whom you have wedded; I will neverrestore your ring.” However, by the assistance of a priest, she was at length forced to give it up to its rightful owner.
The classic legend of Ulysses, held captive for eight years by the nymph Calypso in the Island of Ogygia, and again for one year by the enchantress Circe, contains the root of the same story of the Tanhäuser.
What may have been the significance of the primeval story-radical it is impossible for us now to ascertain; but the legend, as it shaped itself in the middle ages, is certainly indicative of the struggle between the new and the old faith.
We see thinly veiled in Tanhäuser the story of a man, Christian in name, but heathen at heart, allured by the attractions of paganism, which seems to satisfy his poetic instincts, and which gives full rein to his passions. But these excesses pall on him after a while, and the religion of sensuality leaves a great void in his breast.
He turns to Christianity, and at first it seems to promise all that he requires. But alas! he is repelled by its ministers. On all sides he is met by practice widely at variance with profession. Pride, worldliness,want of sympathy exist among those who should be the foremost to guide, sustain, and receive him. All the warm springs which gushed up in his broken heart are choked, his softened spirit is hardened again, and he returns in despair to bury his sorrows and drown his anxieties in the debauchery of his former creed.
A sad picture, but doubtless one very true.
THE laws governing numbers are so perplexing to the uncultivated mind, and the results arrived at by calculation are so astonishing, that it cannot be matter of surprise if superstition has attached itself to numbers.
But even to those who are instructed in numeration, there is much that is mysterious and unaccountable, much that only an advanced mathematician can explain to his own satisfaction. The neophyte sees the numbers obedient to certain laws; butwhythey obey these laws he cannot understand; and the fact of his not being able so to do, tends to give to numbers an atmosphere of mystery which impresses him with awe.
For instance, the property of the number 9, discovered, I believe, by W. Green, who died in 1794, is inexplicable to any one but a mathematician. The property to which I allude is this, that when 9 ismultiplied by 2, by 3, by 4, by 5, by 6, &c., it will be found that the digits composing the product, when added together, give 9. Thus:—
2 × 9 = 18,and1 + 8 = 93 × 9 = 27,“2 + 7 = 94 × 9 = 36,“3 + 6 = 95 × 9 = 45,“4 + 5 = 96 × 9 = 54,“5 + 4 = 97 × 9 = 63,“6 + 3 = 98 × 9 = 72,“7 + 2 = 99 × 9 = 81,“8 + 1 = 910 × 9 = 90,“9 + 0 = 9
It will be noticed that 9 × 11 makes 99, the sum of the digits of which is 18 and not 9, but the sum of the digits 1 × 8 equals 9.
9 × 12 = 108,and1 + 0 + 8 = 99 × 13 = 117,“1 + 1 + 7 = 99 × 14 = 126,“1 + 2 + 6 = 9
And so on to any extent.
M. de Maivan discovered another singular property of the same number. If the order of the digits expressing a number be changed, and this number be subtracted from the former, the remainder will be 9 or a multiple of 9, and, being a multiple, the sum of its digits will be 9.
For instance, take the number 21, reverse the digits, and you have 12; subtract 12 from 21, and the remainder is 9. Take 63, reverse the digits, and subtract 36 from 63; you have 27, a multiple of 9, and 2 + 7 = 9. Once more, the number 13 is the reverse of 31; the difference between these numbers is 18, or twice 9.
Again, the same property found in two numbers thus changed, is discovered in the same numbers raised to any power.
Take 21 and 12 again. The square of 21 is 441, and the square of 12 is 144; subtract 144 from 441, and the remainder is 297, a multiple of 9; besides, the digits expressing these powers added together give 9. The cube of 21 is 9261, and that of 12 is 1728; their difference is 7533, also a multiple of 9.
The number 37 has also somewhat remarkable properties; when multiplied by 3 or a multiple of 3 up to 27, it gives in the product three digits exactly similar. From the knowledge of this the multiplication of 37 is greatly facilitated, the method to be adopted being to multiply merely the first cipher of the multiplicand by the first multiplier; it is then unnecessary to proceed with the multiplication, itbeing sufficient to write twice to the right hand the cipher obtained, so that the same digit will stand in the unit, tens, and hundreds places.
For instance, take the results of the following table:—
37 multiplied by 3 gives 111,and3 times 1 = 337“6“222,“3“2 = 637“9“333,“3“3 = 937“12“444,“3“4 = 1237“15“555,“3“5 = 1537“18“666,“3“6 = 1837“21“777,“3“7 = 2137“24“888,“3“8 = 2437“27“999,“3“9 = 27
The singular property of numbers the most different, when added, to produce the same sum, originated the use of magical squares for talismans. Although the reason may be accounted for mathematically, yet numerous authors have written concerning them, as though there were something “uncanny” about them. But the most remarkable and exhaustive treatise on the subject is that by a mathematician of Dijon, which is entitled “Traité complet des Carrés magiques, pairs et impairs, simpleet composés, à Bordures, Compartiments, Croix, Chassis, Équerres, Bandes détachées, &c.; suivi d’un Traité des Cubes magiques et d’un Essai sur les Cercles magiques; par M. Violle, Géomètre, Chevalier de St. Louis, avec Atlas de 54 grandes Feuilles, comprenant 400 figures.” Paris, 1837. 2 vols. 8vo., the first of 593 pages, the second of 616. Price 36 fr.
I give three examples of magical squares:—
276951438
These nine ciphers are disposed in three horizontal lines; add the three ciphers of each line, and the sum is 15; add the three ciphers in each column, the sum is 15; add the three ciphers forming diagonals, and the sum is 15.
1234232341413412The sum is 10.
17131925182456121011172342239151614202128The sum is 65.
But the connection of certain numbers with the dogmas of religion was sufficient, besides theirmarvellous properties, to make superstition attach itself to them. Because there were thirteen at the table when the Last Supper was celebrated, and one of the number betrayed his Master, and then hung himself, it is looked upon through Christendom as unlucky to sit down thirteen at table, the consequence being that one of the number will die before the year is out. “When I see,” said Vouvenargues, “men of genius not daring to sit down thirteen at table, there is no error, ancient or modern, which astonishes me.”
Nine, having been consecrated by Buddhism, is regarded with great veneration by the Moguls and Chinese: the latter bow nine times on entering the presence of their Emperor.
Three is sacred among Brahminical and Christian people, because of the Trinity of the Godhead.
Pythagoras taught that each number had its own peculiar character, virtue, and properties.
“The unit, or the monad,” he says, “is the principle and the end of all; it is this sublime knot which binds together the chain of causes; it is the symbol of identity, of equality, of existence, of conservation, and of general harmony. Having no parts,the monad represents Divinity; it announces also order, peace, and tranquillity, which are founded on unity of sentiments; consequentlyOneis a good principle.
“The numberTwo, or the dyad, the origin of contrasts, is the symbol of diversity, or inequality, of division and of separation.Twois accordingly an evil principle, a number of bad augury, characterizing disorder, confusion, and change.
“Three, or the triad, is the first of unequals; it is the number containing the most sublime mysteries, for everything is composed of three substances; it represents God, the soul of the world, the spirit of man.” This number, which plays so great a part in the traditions of Asia, and in the Platonic philosophy, is the image of the attributes of God.
“Four, or the tetrad, as the first mathematical power, is also one of the chief elements; it represents the generating virtue, whence come all combinations; it is the most perfect of numbers; it is the root of all things. It is holy by nature, since it constitutes the Divine essence, by recalling His unity, His power, His goodness, and His wisdom,the four perfections which especially characterize God. Consequently, Pythagoricians swear by the quaternary number, which gives the human soul its eternal nature.
“The numberFive, or the pentad, has a peculiar force in sacred expiations; it is everything; it stops the power of poisons, and is redoubted by evil spirits.
“The numberSix, or the hexad, is a fortunate number, and it derives its merit from the first sculptors having divided the face into six portions; but, according to the Chaldeans, the reason is, because God created the world in six days.
“Seven, or the heptad, is a number very powerful for good or for evil. It belongs especially to sacred things.
“The numberEight, or the octad, is the first cube, that is to say, squared in all senses, as a die, proceeding from its base two, an even number; so is man four-square, or perfect.
“The numberNine, or the ennead, being the multiple of three, should be regarded as sacred.
“Finally,Ten, or the decad, is the measure of all, since it contains all the numeric relations andharmonies. As the reunion of the four first numbers, it plays an eminent part, since all the branches of science, all nomenclatures, emanate from, and retire into it.”
It is hardly necessary for me here to do more than mention the peculiar character given to different numbers by Christianity. One is the numeral indicating the Unity of the Godhead; Two points to the hypostatic union; Three to the Blessed Trinity; Four to the Evangelists; Five to the Sacred Wounds; Six is the number of sin; Seven that of the gifts of the Spirit; Eight, that of the Beatitudes; Ten is the number of the commandments; Eleven speaks of the Apostles after the loss of Judas; Twelve, of the complete apostolic college.
I shall now point out certain numbers which have been regarded with superstition, and certain events connected with numbers which are of curious interest.
The number 14 has often been observed as having singularly influenced the life of Henry IV. and other French princes. Let us take the history of Henry.
On the 14th May, 1029, the first king of France named Henry was consecrated, and on the 14th May, 1610, the last Henry was assassinated.
Fourteen letters enter into the composition of the name of Henri de Bourbon, who was the 14th king bearing the titles of France and Navarre.
The 14th December, 1553, that is, 14 centuries, 14 decades, and 14 years after the birth of Christ, Henry IV. was born; the ciphers of the date 1553, when added together, giving the number 14.
The 14th May, 1554, Henry II. ordered the enlargement of the Rue de la Ferronnerie. The circumstance of this order not having been carried out, occasioned the murder of Henry IV. in that street, four times 14 years after.
The 14th May, 1552, was the date of the birth of Marguérite de Valois, first wife of Henry IV.
On the 14th May, 1588, the Parisians revolted against Henry III., at the instigation of the Duke of Guise.
On the 14th March, 1590, Henry IV. gained the battle of Ivry.
On the 14th May, 1590, Henry was repulsed from the Fauxbourgs of Paris.
On the 14th November, 1590, the Sixteen took oath to die rather than serve Henry.
On the 14th November, 1592, the Parliament registered the Papal Bull giving power to the legate to nominate a king to the exclusion of Henry.
On the 14th December, 1599, the Duke of Savoy was reconciled to Henry IV.
On the 14th September, 1606, the Dauphin, afterwards Louis XIII., was baptized.
On the 14th May, 1610, the king was stopped in the Rue de la Ferronnerie, by his carriage becoming locked with a cart, on account of the narrowness of the street. Ravaillac took advantage of the occasion for stabbing him.
Henry IV. lived four times 14 years, 14 weeks, and four times 14 days; that is to say, 56 years and 5 months.
On the 14th May, 1643, died Louis XIII., son of Henry IV.; not only on the same day of the same month as his father, but the date, 1643, when its ciphers are added together, gives the number 14, just as the ciphers of the date of the birth of his father gave 14.
Louis XIV. mounted the throne in 1643: 1 + 6 + 4 + 3 = 14.
He died in the year 1715: 1 + 7 + 1 + 5 = 14.
He lived 77 years, and 7 + 7 = 14.
Louis XV. mounted the throne in the same year; he died in 1774, which also bears the stamp of 14, the extremes being 14, and the sum of the means 7 + 7 making 14.
Louis XVI. had reigned 14 years when he convoked the States General, which was to bring about the Revolution.
The number of years between the assassination of Henry IV. and the dethronement of Louis XVI. is divisible by 14.
Louis XVII. died in 1794; the extreme digits of the date are 14, and the first two give his number.
The restoration of the Bourbons took place in 1814, also marked by the extremes being 14; also by the sum of the ciphers making 14.
The following are other curious calculations made respecting certain French kings.
Add the ciphers composing the year of the birth or of the death of some of the kings of the thirdrace, and the result of each sum is the titular number of each prince. Thus:—
Louis IX. was born in 1215; add the four ciphers of this date, and you have IX.
Charles VII. was born in 1402; the sum of 1 + 4 + 2 gives VII.
Louis XII. was born in 1461; and 1 + 4 + 6 + 1 = XII.
Henry IV. died in 1610; and 1 + 6 + 1 = twice IV.
Louis XIV. was crowned in 1643; and these four ciphers give XIV. The same king died in 1715; and this date gives also XIV. He was aged 77 years, and again 7 + 7 = 14.
Louis XVIII. was born in 1755; add the digits, and you have XVIII.
What is remarkable is, that this number 18 is double the number of the king to whom the law first applies, and is triple the number of the kings to whom it has applied.
Here is another curious calculation:—
Robespierre fell in 1794;
Napoleon in 1815, and Charles X. in 1830.
Now, the remarkable fact in connection withthese dates is, that the sum of the digits composing them, added to the dates, gives the date of the fall of the successor. Robespierre fell in 1794; 1 + 7 + 9 + 4 = 21, 1794 + 21 = 1815, the date of the fall of Napoleon; 1 + 8 + 1 + 5 = 15, and 1815 + 15 = 1830, the date of the fall of Charles X.
There is a singular rule which has been supposed to determine the length of the reigning Pope’s life, in the earlier half of a century. Add his number to that of his predecessor, to that add ten, and the result gives the year of his death.
Pius VII. succeeded Pius VI.; 6 + 7 = 13; add 10, and the sum is 23. Pius VII. died in 1823.
Leo XII. succeeded Pius VII.; 12 + 7 + 10 = 29; and Leo XII. died in 1829.
Pius VIII. succeeded Leo XII.; 8 + 12 + 10 = 30; and Pius VIII. died in 1830.
However, this calculation does not always apply.
Gregory XVI. ought to have died in 1834, but he did not actually vacate his see till 1846.
It is also well known that an ancient tradition forbids the hope of any of St. Peter’s successors,pervenire ad annos Petri; i. e., to reign 25 years.
Those who sat longest are