Chapter 9

See E. Bernheim,Lehrbuch der historischcn Methode(4th ed., 1903); H. Bloch, “Geschichte der deutschen Geschichtsschreibung im Mittelalter” in theHandbuchof G. von Below and F. Meinecke (Munich, 1903 seq.); Max Jansen, “Historiographie und Quellen der deutschen Geschichte bis 1500,” in Aloïs Meister’sGrundris(Leipzig, 1906); and the Introduction (1904) to A. Molinier’sLes Sources de l’histoire de France.

See E. Bernheim,Lehrbuch der historischcn Methode(4th ed., 1903); H. Bloch, “Geschichte der deutschen Geschichtsschreibung im Mittelalter” in theHandbuchof G. von Below and F. Meinecke (Munich, 1903 seq.); Max Jansen, “Historiographie und Quellen der deutschen Geschichte bis 1500,” in Aloïs Meister’sGrundris(Leipzig, 1906); and the Introduction (1904) to A. Molinier’sLes Sources de l’histoire de France.

(C. B.*)

CHRONICLES, BOOKS OF, two Old Testament books of the Bible. The name is derived fromChronicon, first suggested by Jerome as a rendering of the title which they bear in the Hebrew Canon, viz.Events of the Times. The fullPosition and date.Hebrew title would beBook of Events of the Times, and this again appears to have been a designation commonly applied to special histories in the more definite shape—Events of the Times of King David, or the like (1 Chron. xxvii. 24; Esth. x. 2, &c.). The Greek translators divided the long book into two, and adopted the titleΠαραλειπόμενα,Things omitted[scil. in the other historical books].

The book of Chronicles begins with Adam and ends abruptly in the middle of Cyrus’s decree of restoration, which reappears complete at the beginning of Ezra. A closer examination of those parts ofEzraandNehemiahwhich are not extracted from earlier documents or original memoirs leads to the conclusion thatChronicles-Ezra-Nehemiahwas originally one work, displaying throughout the peculiarities of language and thought of a single editor, who, however, cannot be Ezra himself as tradition would have it. Thus the fragmentary close of 2 Chronicles marks the disruption of a previously-existing continuity,—due, presumably, to the fact that in the gradual compilation of the Canon the necessity for incorporating in the Holy Writings an account of the establishment of the post-Exile theocracy was felt, before it was thought desirable to supplementSamuelandKingsby adding a second history of the period before the Exile. HenceChroniclesis the last book of the Hebrew Bible, following the book ofEzra-Nehemiah, which properly is nothing else than the sequel ofChronicles.

Of the authorship ofChronicleswe know only what can be determined by internal evidence. The style of the language, and also the position of the book in the Jewish Canon, stamp the book as one of the latest in the Old Testament, but lead to no exact determination of the date.1In 1 Chron. xxix. 7, which refers to the time of David, a sum of money is reckoned bydarics, which certainly implies that the author wrote after this Persian coin had been long current in Judaea. In 1 Chron. iii. 19 sqq. the descendants of Zerubbabel seem to be reckoned to six generations (the Septuagint reads it so as to give as many as eleven generations), and this agrees with the suggestion that Hattush (verse 22), who belongs to the fourth generation from Zerubbabel, was a contemporary of Ezra (Ezra viii. 2). Thus the compiler lived at least two generations after Ezra. With this it accords that in Nehemiah five generations of high priests are enumerated from Joshua (xii. 10 seq.), and that the last name is that of Jaddua, who, according to Josephus, was a contemporary of Alexander the Great (333B.C.). That the compiler wrote after the fall of the Persian monarchy has been argued by Ewald and others from the use of the title king of Persia (2 Chron. xxxvi. 23), and from the reference made in Neh. xii. 22 to Darius III. (336-332B.C.). A date some time after 332B.C.is now accepted by most modern critics. See furtherEzra and Nehemiah.

What seems to be certain and important for a right estimate of the book is that the writer lived a considerable time after Ezra, and stood entirely under the influence of the religious institutions of the new theocracy. This standpoint determined theCharacter of the work.nature of his interest in the early history of his people. The true importance of Hebrew history had always centred in the fact that this petty nation was the people of Yahweh, the spiritual God. The tragic interest which distinguishes the annals of Israel from the forgotten history of Moab or Damascus lies wholly in that long contest which finally vindicated the reality of spiritual things and the supremacy of Yahweh’s purpose, in the political ruin of the nation which was the faithless depository of these sacred truths. After the return from the Exile it was impossible to write the history of Israel’s fortunes otherwise than in a spirit of religious pragmatism. But within the limits of the religious conception of the plan and purpose of the Hebrew history more than one point of view might be taken up. The book of Kings looks upon the history in the spirit of the prophets—in that spirit which is still echoed by Zech. i. 5 seq., but which had become extinct before the Chronicler wrote. The New Jerusalem of Ezra was organized as a municipality and a church, not as a nation. The centre of religious life was no longer the living prophetic word but the ordinances of the Pentateuch and the liturgical service of the sanctuary. The religious vocation of Israel was no longer national but ecclesiastical or municipal, and the historical continuity of the nation was vividly realized only within the walls of Jerusalem and the courts of the Temple, in the solemn assembly and stately ceremonial of a feast day. These influences naturally operated most strongly on those who were officially attached to the sanctuary. To a Levite, even more than to other Jews, the history of Israel meant above all things the history of Jerusalem, of the Temple, and of the Temple ordinances. Now the writer of Chronicles betrays on every page his essentially Levitical habit of mind. It even seems possible from a close attention to his descriptions of sacred ordinances to conclude that his special interests are those of a common Levite rather than of a priest, and that of all Levitical functions he is most partial to those of the singers, a member of whose guild he may have been. From the standpoint of the post-exilic age, the older delineation of the history of Israel, especially in the books of Samuel and Kings, could not but appear to be deficient in some directions, while in other respects its narrative seemed superfluous or open to misunderstanding, as for example by recording, and that without condemnation, things inconsistent with the later, post-exilic law. The history of the ordinances of worship holds a very small place in the older record. Jerusalem and the Temple have not that central place in the book of Kings which they occupied in the minds of the Jewish community after the Exile. Large sections of the old history are devoted to the religion and politics of the ten tribes, which are altogether unintelligible and uninteresting when measured by a strictly Levitical standard; and in general the whole problems and struggles of the prophetic period turn on points which had ceased to be cardinal in the life of the New Jerusalem, which was no longer called to decide between the claims of the Word of Yahweh and the exigencies of political affairs and social customs, and which could not comprehend that men absorbed in deeper spiritual contests had no leisure for the niceties of Levitical legislation. Thus there seemed to be room for a new history, which should confine itself to matters still interesting to the theocracy of Zion, keeping Jerusalem and the Temple in the foreground, and developing the divine pragmatism of the history, not so much with reference to the prophetic word as to the fixed legislation of the Pentateuch, so that the whole narrative might be made to teach that the glory of Israel lies in the observance of the divine law and ritual.

For the sake of systematic completeness the book begins with Adam, as is the custom with later Oriental writers. But there was nothing to add to the Pentateuch, and the period from Moses to David contained little that served theContents.purpose. The early history is therefore contracted into a series of tribal and priestly genealogies, which were doubtless by no means the least interesting part of the work at a time when everyIsraelite was concerned to prove the purity of his Hebrew descent (cp. Ezra ii. 59, 62). Commencing abruptly (after some Benjamite genealogies) with the death of Saul, the history becomes fuller and runs parallel with the books of Samuel and Kings. The limitations of the compiler’s interest in past times appear in the omission, among other particulars, of David’s reign in Hebron, of the disorders in his family and the revolt of Absalom, of the circumstances of Solomon’s accession, and of many details as to the wisdom and splendour of that sovereign, as well as of his fall into idolatry. In the later history the ten tribes are quite neglected (“Yahweh is not with Israel,” 2 Chron. xxv. 7), and political affairs in Judah receive attention, not in proportion to their intrinsic importance, but according as they serve to exemplify God’s help to the obedient and His chastisement of the rebellious. That the compiler is always unwilling to speak of the misfortunes of good rulers is not necessarily to be ascribed to a deliberate suppression of truth, but shows that the book was throughout composed not in purely historical interests, but with a view to inculcating a single practical lesson. The more important additions to the older narrative consist partly of statistical lists (1 Chron. xii.), partly of full details on points connected with the history of the sanctuary and the great feasts or the archaeology of the Levitical ministry (1 Chron. xiii., xv., xvi., xxii.-xxix.; 2 Chron. xxix.-xxxi., &c.), and partly of narratives of victories and defeats, of sins and punishments, of obedience and its reward, which could be made to point a plain religious lesson in favour of faithful observance of the law (2 Chron. xiii., xiv. 9 sqq.; xx., xxi. 11 sqq., &c.). The minor variations ofChroniclesfrom the books of Samuel and Kings are analogous in principle to the larger additions and omissions, so that the whole work has a consistent and well-marked character, presenting the history in quite a different perspective from that of the old narrative.

The chronicler makes frequent reference to earlier histories which he cites by a great variety of names. That the names “Book of the Kings of Israel and Judah,” “Book of the Kings of Judah and Israel,” “Book of the Kings ofSources.Israel,” and “Affairs of the Kings of Israel” (2 Chron. xxxiii. 18), refer to a single work is not disputed. Under one or other title this book is cited some ten times. Whether it is identical with the Midrash2of the book of Kings (2 Chron. xxiv. 27) is not certain. That the work so often cited is not the Biblical book of the same name is manifest from what is said of its contents. It must have been quite an extensive work, for among other things it contained genealogical statistics (1 Chron. ix. 1), and it incorporated certain older prophetic writings—in particular, thedebārīm(“words” or “history”) of Jehu the son of Hanani (2 Chron. xx. 34) and possibly the vision of Isaiah (2 Chron. xxxii. 32). Where the chronicler does not cite this comprehensive work at the close of a king’s reign he generally refers to some special authority which bears the name of a prophet or seer (2 Chron. ix. 29; xii. 15, &c.). But the book of the Kings and a special prophetic writing are not cited for the same reign. It is therefore probable that in other cases than those of Isaiah and Jehu the writings of, or rather, about the prophets which are cited inChronicleswere known only as parts of the great “book of the Kings.” Even the genealogical lists may have been derived from that work (1 Chron. ix. 1), though for these other materials may have been accessible.

The two chief sources of the canonical book of Kings were entitledAnnals(“events of the times”)of the Kings of IsraelandJudahrespectively (seeKings). That the lost source of theChronicleswas not independent of these works appears probable both from the nature of the case and from the close and often verbal parallelism between many sections of the two Biblical narratives. But while the canonical book of Kings refers to separate sources for the northern and southern kingdoms, the source ofChronicleswas a history of the two kingdoms combined, and so, no doubt, was a more recent work which in great measure was doubtless based upon older annals. Yet it contained also matter not derived from these works, for it is pretty clear from 2 Kings xxi. 17 that theAnnals of the Kings of Judahgave no account of Manasseh’s repentance, which, according to 2 Chron. xxxiii. 18, 19, was narrated in the great book of the Kings of Israel. It was the opinion of Bertheau, Keil and others, that the parallelisms ofChronicleswithSamuelandKingsare sufficiently explained by the ultimate common source from which both narratives drew. But most critics hold that the chronicler also drew directly from the canonical books of Samuel and Kings as he apparently did from the Pentateuch. This opinion is not improbable, as the earlier books of the Old Testament cannot have been unknown in his age; and the critical analysis of the canonical book of Kings is advanced enough to enable us to say that in some of the parallel passages the chronicler uses words which were not written in the annals but by one of the compilers ofKingshimself. In particular,Chroniclesagrees withKingsin those short notes of the moral character of individual monarchs which can hardly be ascribed to an earlier hand than that of the redactor of the latter book.3

For the criticism of the book it is important to institute a careful comparison of Chronicles with the parallel narratives inSamuel-Kings.4It is found that in the cases whereChroniclesdirectly contradicts the earlier books thereTreatment of history.are few in which an impartial historical judgment will decide in favour of the later account, and in any point that touches difference of usage between its time and that of the old monarchy it is of no authority. The characteristic feature of the post-exilic age was the re-shaping of older tradition in the interest of parenetic and practical purposes, and for this object a certain freedom of literary form was always allowed to ancient historians. The typical speeches in Chronicles are of little value for the periods to which they relate, and where they are inconsistent with the evidence from earlier writings or contain inherent improbabilities are scarcely of historical worth. According to the ordinary laws of research, the book, being written at a time long posterior to the events it records, can have only a secondary value, although that is no reason why here and there valuable material should not have been preserved. But the general picture which it gives of life under the old monarchy cannot have the same value for us as the records of the book of Kings. On the other hand, it is of distinct value for the history of its time, and presents a clear picture of the spirit of the age. The “ecclesiastical chronicle of Jerusalem,” as Reuss has aptly called it, represents the culminating point (as far as the O.T. Canon is concerned) of that theory of which examples recur in Judges, Samuel and Kings, and this treatment of history in accordance with religious or ethical doctrines finds its continuation in the didactic aims which characterize the later non-canonical writings (cf.Jubilees;Midrash).

The most prominent examples of disagreement with earlier sources may be briefly noticed. Thus, it would appear that the book has confused Jehoiakim and Jehoiachin (2 Chron. xxxvi. 5-8) and has statements which directly conflict with 2 Sam. xxi. 19 (1 Chron. xx. 5; seeGoliath), and 1 Kings ix. 10 seq. (2 Chron. viii. 2); it has changed Hezekiah’s submission (2 Kings xviii.) into a brave resistance (2 Chron. xxxii. 1-8) and ignored the humiliating payment of tribute by this king and by Joash (2 Kings xii. 18; 2 Chron. xxiv. 23 sqq.).5That Satan, and not Yahweh incitedDavid to number Israel (1 Chron. xxi.; 2 Sam. xxiv. 1) accords with later theological development.A particular tendency to arrange history according to a mechanical rule appears in the constant endeavour to show that recompense and retribution followed immediately on good or bad conduct, and especially on obedience or disobedience to prophetic advice. Thus, the invasion of Shishak (seeRehoboam) becomes a typical romance (2 Chron. xii.); the illness of Asa is preceded by a denunciation for relying upon Syria, and the chronology is changed to bring the fault near the punishment (2 Chron. xv. seq.). The ships which Jehoshaphat made were wrecked at Ezion-geber because he had allied himself with Ahaziah of Israel despite prophetic warning (2 Chron. xx. 35 sqq.; 1 Kings xxii. 48; cf. similarly the addition in 2 Chron. xix. 1-3), and the later writer supposes that the “Tarshish ships” (large vessels such as were used in trading with Spain—cf. “Indiamen”) built in the Red Sea were intended for the Mediterranean trade (cf. 2 Chron. ix. 21 with 1 Kings x. 22). The Edomite revolt under Jehoram of Judah becomes the penalty for the king’s apostasy (2 Chron. xxi. 10-20; 2 Kings viii. 22), Ahaziah was slain because of his friendship with Jehoram (2 Chron. xxii. 7). The Aramaean invasion in the time of Joash of Judah was a punishment for the murder of Jehoiada’s son (2 Chron. xxiv.; 2 Kings xii.). Amaziah, after defeating Edom (2 Chron. xxv., esp. verses 19-21; see 2 Kings xiv. 10 seq.), worshipped strange gods, for which he was defeated by Joash of Israel, and subsequently met with his death (2 Chron. xxv. 27; 2 Kings xiv. 19). Uzziah’s leprosy is attributed to a ritual fault (2 Chron. xxvi. 4 seq., 16 sqq.; cf. 2 Kings xv. 3-5; seeUzziah). The defeat and death of the good king Josiah came through disobedience to the Divine will (2 Chron. xxxv. 21 seq.; see 2 Kings xxiii. 26 sqq.).In addition to such supplementary information, another tendency of the chronicler is the alteration of narratives that do not agree with the later doctrines of the uniformity of religious institutions before and after the exile. Thus, the reformation of Josiah has been thrust back from his eighteenth to his twelfth year (when he was nineteen years old) apparently because it was felt that so good a king would not have tolerated the abuses of the land for so long a period,6but the result of this is to leave an interval of ten years between his conversion and the subsequent act of repentance (2 Chron. xxxiv. 3-6; 2 Kings xxii. seq.). References to Judaean idolatry are omitted (1 Kings xiv. 22-24; see 2 Chron. xii. 14; 2 Kings xviii. 4; 2 Chron. xxxi. 1) or abbreviated (2 Kings xxiii. 1-20; 2 Chron. xxxiv. 29-33); and if the earlier detailed accounts of Judaean heathenism were repulsive, so the tragic account of the fate of Jerusalem was a painful subject upon which the chronicler’s age did not care to dwell (contrast 2 Kings xxiv. 8-xxv. with the brief 2 Chron. xxxvi. 9-21). At an age when the high places were regarded as idolatrous it was considered only natural that the good kings should not have tolerated them. So 2 Chron. xiv. 5, xvii. 6 (from unknown sources) contradict 1 Kings xv. 14, xxii. 43 (that Asa and Jehoshaphat didnotdemolish the high places), whereas xv. 16-18, xx. 31-34, are quoted from the book of Kings and give the older view. The example is an illustration of the simple methods of early compilers. Further, it is assumed that the high place at Gibeon was a legitimate sanctuary (2 Chron. i. 3-6; 1 Kings iii. 2-4; 1 Chron. xxi. 28-30; 2 Sam. xxiv.); that the ark was borne not by priests (1 Kings viii. 3) but by Levites (2 Chron. v. 4), in accordance with post-exilic usage; and that the Levites, and not the foreign bodyguard of the temple, helped to place Joash on the throne (2 Chron. xxiii.).7Conversely 1 Chron. xv. 12 seq. explains xiii. 10 (2 Sam. vi. 7) on the view that Uzza was not a Levite, hence the catastrophe.Throughout it is assumed that the Levitical organization had been in existence from the days of David, to whom its foundation is ascribed. In connexion with the installation of the ark considerable space is devoted to the arrangements for the maintenance of the temple-service, upon which the earlier books are silent, and elaborate notices of the part played by the Levites and singers give expression to a view of the history of the monarchy which the book of Kings does not share.8Along with the exceptional interest taken in Levitical and priestly lists should be noticed the characteristic preference for genealogies. Particular prominence is given to the tribe and kings of Judah (1 Chron. ii.-iv.), and to the priests and Levites (1 Chron. vi., xv. sq., xxiii.-xxv.; with ix. 1-34 cf. Neh. xi.). The historical value of these lists is very unequal; a careful study of the names often proves the lateness of the source, although an appreciation of the principles of genealogies sometimes reveals important historical information; seeCaleb,Genealogy,Judah. But the Levitical system as it appears in its most complete form in Chronicles is the result of the development of earlier schemes, of which some traces are still preserved inChroniclesitself and inEzra-Nehemiah. (See furtherLevites.)The tendency of numbers to grow is one which must always be kept in view—cf. 1 Chron. xviii. 4, xix. 18 (2 Sam. viii. 4 [but see LXX.], x. 18), 1 Chron. xxi. 5, 25 (2 Sam. xxiv. 9, 24); consequently little importance can be attached to details which appear to be exaggerated (1 Chron. v. 21, xii., xxii. 14; 2 Chron. xiii. 3, 17), and are found to be quite in accordance with similar peculiarities elsewhere (Num. xxxi. 32 seq.; Judg. xx. 2, 21, 25).

The most prominent examples of disagreement with earlier sources may be briefly noticed. Thus, it would appear that the book has confused Jehoiakim and Jehoiachin (2 Chron. xxxvi. 5-8) and has statements which directly conflict with 2 Sam. xxi. 19 (1 Chron. xx. 5; seeGoliath), and 1 Kings ix. 10 seq. (2 Chron. viii. 2); it has changed Hezekiah’s submission (2 Kings xviii.) into a brave resistance (2 Chron. xxxii. 1-8) and ignored the humiliating payment of tribute by this king and by Joash (2 Kings xii. 18; 2 Chron. xxiv. 23 sqq.).5That Satan, and not Yahweh incitedDavid to number Israel (1 Chron. xxi.; 2 Sam. xxiv. 1) accords with later theological development.

A particular tendency to arrange history according to a mechanical rule appears in the constant endeavour to show that recompense and retribution followed immediately on good or bad conduct, and especially on obedience or disobedience to prophetic advice. Thus, the invasion of Shishak (seeRehoboam) becomes a typical romance (2 Chron. xii.); the illness of Asa is preceded by a denunciation for relying upon Syria, and the chronology is changed to bring the fault near the punishment (2 Chron. xv. seq.). The ships which Jehoshaphat made were wrecked at Ezion-geber because he had allied himself with Ahaziah of Israel despite prophetic warning (2 Chron. xx. 35 sqq.; 1 Kings xxii. 48; cf. similarly the addition in 2 Chron. xix. 1-3), and the later writer supposes that the “Tarshish ships” (large vessels such as were used in trading with Spain—cf. “Indiamen”) built in the Red Sea were intended for the Mediterranean trade (cf. 2 Chron. ix. 21 with 1 Kings x. 22). The Edomite revolt under Jehoram of Judah becomes the penalty for the king’s apostasy (2 Chron. xxi. 10-20; 2 Kings viii. 22), Ahaziah was slain because of his friendship with Jehoram (2 Chron. xxii. 7). The Aramaean invasion in the time of Joash of Judah was a punishment for the murder of Jehoiada’s son (2 Chron. xxiv.; 2 Kings xii.). Amaziah, after defeating Edom (2 Chron. xxv., esp. verses 19-21; see 2 Kings xiv. 10 seq.), worshipped strange gods, for which he was defeated by Joash of Israel, and subsequently met with his death (2 Chron. xxv. 27; 2 Kings xiv. 19). Uzziah’s leprosy is attributed to a ritual fault (2 Chron. xxvi. 4 seq., 16 sqq.; cf. 2 Kings xv. 3-5; seeUzziah). The defeat and death of the good king Josiah came through disobedience to the Divine will (2 Chron. xxxv. 21 seq.; see 2 Kings xxiii. 26 sqq.).

In addition to such supplementary information, another tendency of the chronicler is the alteration of narratives that do not agree with the later doctrines of the uniformity of religious institutions before and after the exile. Thus, the reformation of Josiah has been thrust back from his eighteenth to his twelfth year (when he was nineteen years old) apparently because it was felt that so good a king would not have tolerated the abuses of the land for so long a period,6but the result of this is to leave an interval of ten years between his conversion and the subsequent act of repentance (2 Chron. xxxiv. 3-6; 2 Kings xxii. seq.). References to Judaean idolatry are omitted (1 Kings xiv. 22-24; see 2 Chron. xii. 14; 2 Kings xviii. 4; 2 Chron. xxxi. 1) or abbreviated (2 Kings xxiii. 1-20; 2 Chron. xxxiv. 29-33); and if the earlier detailed accounts of Judaean heathenism were repulsive, so the tragic account of the fate of Jerusalem was a painful subject upon which the chronicler’s age did not care to dwell (contrast 2 Kings xxiv. 8-xxv. with the brief 2 Chron. xxxvi. 9-21). At an age when the high places were regarded as idolatrous it was considered only natural that the good kings should not have tolerated them. So 2 Chron. xiv. 5, xvii. 6 (from unknown sources) contradict 1 Kings xv. 14, xxii. 43 (that Asa and Jehoshaphat didnotdemolish the high places), whereas xv. 16-18, xx. 31-34, are quoted from the book of Kings and give the older view. The example is an illustration of the simple methods of early compilers. Further, it is assumed that the high place at Gibeon was a legitimate sanctuary (2 Chron. i. 3-6; 1 Kings iii. 2-4; 1 Chron. xxi. 28-30; 2 Sam. xxiv.); that the ark was borne not by priests (1 Kings viii. 3) but by Levites (2 Chron. v. 4), in accordance with post-exilic usage; and that the Levites, and not the foreign bodyguard of the temple, helped to place Joash on the throne (2 Chron. xxiii.).7Conversely 1 Chron. xv. 12 seq. explains xiii. 10 (2 Sam. vi. 7) on the view that Uzza was not a Levite, hence the catastrophe.

Throughout it is assumed that the Levitical organization had been in existence from the days of David, to whom its foundation is ascribed. In connexion with the installation of the ark considerable space is devoted to the arrangements for the maintenance of the temple-service, upon which the earlier books are silent, and elaborate notices of the part played by the Levites and singers give expression to a view of the history of the monarchy which the book of Kings does not share.8Along with the exceptional interest taken in Levitical and priestly lists should be noticed the characteristic preference for genealogies. Particular prominence is given to the tribe and kings of Judah (1 Chron. ii.-iv.), and to the priests and Levites (1 Chron. vi., xv. sq., xxiii.-xxv.; with ix. 1-34 cf. Neh. xi.). The historical value of these lists is very unequal; a careful study of the names often proves the lateness of the source, although an appreciation of the principles of genealogies sometimes reveals important historical information; seeCaleb,Genealogy,Judah. But the Levitical system as it appears in its most complete form in Chronicles is the result of the development of earlier schemes, of which some traces are still preserved inChroniclesitself and inEzra-Nehemiah. (See furtherLevites.)

The tendency of numbers to grow is one which must always be kept in view—cf. 1 Chron. xviii. 4, xix. 18 (2 Sam. viii. 4 [but see LXX.], x. 18), 1 Chron. xxi. 5, 25 (2 Sam. xxiv. 9, 24); consequently little importance can be attached to details which appear to be exaggerated (1 Chron. v. 21, xii., xxii. 14; 2 Chron. xiii. 3, 17), and are found to be quite in accordance with similar peculiarities elsewhere (Num. xxxi. 32 seq.; Judg. xx. 2, 21, 25).

But when allowance is made for all the above tendencies of the late post-exilic age, there remains a certain amount of additional matter inChronicleswhich may have been derived from relatively old sources. These items areHistorical value.of purely political or personal nature and contain several details which taken by themselves have every appearance of genuineness. Where there can be no suspicion of such “tendency” as has been noticed above there is less ground for scepticism, and it must be remembered that the earlier books contain only a portion of the material to which the compilers had access. Hence it may well happen that the details which unfortunately cannot be checked were ultimately derived from sources as reputable as those in the books of Samuel, Kings, &c. As examples may be cited Rehoboam’s buildings, &c. (2 Chron. xi. 5-12, 18 sqq.); Jeroboam’s attack upon Abijah (2 Chron. xiii., cf. 1 Kings xv. 7); the invasion of Zerah in Asa’s reign (2 Chron. xiv.; seeAsa); Jehoshaphat’s wars and judicial measures (2 Chron. xvii. xx.; see 1 Kings xxii. 45); Jehoram’s family (2 Chron. xxi. 2-4); relations between Jehoiada and Joash (2 Chron. xxiv. 3, 15 sqq.); conflicts between Ephraim and Judah (2 Chron. xxv. 6-13); wars of Uzziah and Jotham (2 Chron. xxvi. seq.); events in the reign of Ahaz (2 Chron. xxviii. 8-15, 18 seq.); reforms of Hezekiah (2 Chron. xxix. sqq., cf. Jer. xxvi. 19); Manasseh’s captivity, repentance and buildings (2 Chron. xxxiii. 10-20; see 2 Kings xxi. andManasseh); the death of Josiah (2 Chron. xxxv. 20-25). In addition to this reference may be made to such tantalizing statements as those in 1 Chron. ii. 23 (R.V.), iv. 39-41, v. 10, 18-22, vii. 21 seq., viii. 13, xii. 15, examples of the kind of tradition, national and private, upon which writers could draw. Although in their present form the additionalnarrativesare in the chronicler’s style, it is not necessary to deny an older traditional element which may have been preserved in sources now lost to us.9

Bibliography.—Robertson Smith’s article in the 9th ed. of theEncy. Brit.was modified by his later views inOld Test. in the Jewish Church2, pp. 140-148. Recent literature is summarized by S.R. Driver in his revision of Smith’s article inEncy. Bib.and in hisLit. of Old Test., and by F. Brown in Hastings’Dict. Bib.(a very comprehensive article). Many parts of the book offer a very hard task to the expositor, especially the genealogies, where to other troubles are added the extreme corruption and many variations of the proper names in the versions; on these see the articles in theEncy. Bib.Valuable contributions to the exegesis of the book will be found in Wellhausen’sProlegomena(Eng. trans.), pp. 171-227; Benzinger in Marti’sHand-Kommentar(1901); Kittel inSacred Books of the Old Test.(1895),History of the Hebrews, ii. 224 sqq. (1896), and in Nowack’sHand-Kommentar(1902). W.H. Bennett inExpositor’s Bible(1894), W.E. Barnes inCambridge Bible(1899), and Harvey-Jellie in theCentury Bible(1906), are helpful. Among more recent investigations are those of Howorth,Proc. Soc. of Bibl. Archael.xxvii. 267-278 (Chronicles a late translation from the Aramaic).

Bibliography.—Robertson Smith’s article in the 9th ed. of theEncy. Brit.was modified by his later views inOld Test. in the Jewish Church2, pp. 140-148. Recent literature is summarized by S.R. Driver in his revision of Smith’s article inEncy. Bib.and in hisLit. of Old Test., and by F. Brown in Hastings’Dict. Bib.(a very comprehensive article). Many parts of the book offer a very hard task to the expositor, especially the genealogies, where to other troubles are added the extreme corruption and many variations of the proper names in the versions; on these see the articles in theEncy. Bib.Valuable contributions to the exegesis of the book will be found in Wellhausen’sProlegomena(Eng. trans.), pp. 171-227; Benzinger in Marti’sHand-Kommentar(1901); Kittel inSacred Books of the Old Test.(1895),History of the Hebrews, ii. 224 sqq. (1896), and in Nowack’sHand-Kommentar(1902). W.H. Bennett inExpositor’s Bible(1894), W.E. Barnes inCambridge Bible(1899), and Harvey-Jellie in theCentury Bible(1906), are helpful. Among more recent investigations are those of Howorth,Proc. Soc. of Bibl. Archael.xxvii. 267-278 (Chronicles a late translation from the Aramaic).

(W. R. S.; S. A. C.)

1See the lists in Driver,Lit. of Old Test.pp. 502 sqq.; and the exhaustive summary by Fr. Brown in Hastings’Dict. Bible, i. 289 sqq.2R.V. “commentary,” properly, an edifying religious work, a didactic or homiletic exposition. A distinct tendency to Midrash is found even here and there in the earlier books.3The problem of the sources is one of considerable intricacy and cannot be discussed here; the introduction to the commentaries of Benzinger and Kittel (seeBibliographybelow) should be consulted. The questions depend partly upon the view taken of the origin and structure of the book of Kings (q.v.) and partly upon the results of historical criticism.4“A careful comparison of Chronicles with Samuel and Kings is a striking object lesson in ancient historical composition. It is an almost indispensable introduction to the criticism of the Pentateuch and the older historical works” (W.H. Bennett,Chronicles, p. 20 seq.).5But xxxii. 1-8 may preserve a tradition of the account of the city’s wonderful deliverance mentioned inKings(seeHezekiah), and the details of the invasion of Judah in the time of Joash differ essentially from those in the earlier source. Even 2 Chron. viii. 2 cannot be regarded as adeliberatealteration since the writer does not appear to be quoting from 1 Kings ix. 10 sqq. (the two passages should be carefully compared), and his view of Solomon’s greatness is already supported by allusions in the earlier but extremely composite sources inKings(seeSolomon).6But that this was not the invention of the chronicler appears possible from Jer. xxv. 3. Similarly, Hezekiah’s reforms are dated in his first year (2 Chron. xxix. 3), against all probability; seeHezekiah(end).72 Chron. xxiii. is an excellent specimen of the redaction to which older narratives were submitted; cf. also 2 Chron. xxiv. 5 seq. (2 Kings xi. 4 seq.), xxxiv. 9-14 (2 Kings xxii.), xxxv. 1-19 (2 Kings xxiii. 21-23).8Passages in the books of Samuel and Kings which might appear to point to the contrary require careful examination; they prove to be glosses or interpolations, or are relatively late as a whole.9The view that the chroniclerinventedsuch narratives is inconceivable, and in the present stage of historical criticism is as unsound as an implicit reliance upon those sources in the earlier books, which in their turn are often long posterior to the events they record. Although Graf, in a critical and exhaustive study (Geschichtlichen Bücher des A.T., Leipzig, 1866), concluded that the Chronicles have almost no value as a documentary source of the ancient history, he subsequently admitted in private correspondence with Bertheau that this statement was too strong (preface to Bertheau’sCommentary, 2nd ed., 1873).

1See the lists in Driver,Lit. of Old Test.pp. 502 sqq.; and the exhaustive summary by Fr. Brown in Hastings’Dict. Bible, i. 289 sqq.

2R.V. “commentary,” properly, an edifying religious work, a didactic or homiletic exposition. A distinct tendency to Midrash is found even here and there in the earlier books.

3The problem of the sources is one of considerable intricacy and cannot be discussed here; the introduction to the commentaries of Benzinger and Kittel (seeBibliographybelow) should be consulted. The questions depend partly upon the view taken of the origin and structure of the book of Kings (q.v.) and partly upon the results of historical criticism.

4“A careful comparison of Chronicles with Samuel and Kings is a striking object lesson in ancient historical composition. It is an almost indispensable introduction to the criticism of the Pentateuch and the older historical works” (W.H. Bennett,Chronicles, p. 20 seq.).

5But xxxii. 1-8 may preserve a tradition of the account of the city’s wonderful deliverance mentioned inKings(seeHezekiah), and the details of the invasion of Judah in the time of Joash differ essentially from those in the earlier source. Even 2 Chron. viii. 2 cannot be regarded as adeliberatealteration since the writer does not appear to be quoting from 1 Kings ix. 10 sqq. (the two passages should be carefully compared), and his view of Solomon’s greatness is already supported by allusions in the earlier but extremely composite sources inKings(seeSolomon).

6But that this was not the invention of the chronicler appears possible from Jer. xxv. 3. Similarly, Hezekiah’s reforms are dated in his first year (2 Chron. xxix. 3), against all probability; seeHezekiah(end).

72 Chron. xxiii. is an excellent specimen of the redaction to which older narratives were submitted; cf. also 2 Chron. xxiv. 5 seq. (2 Kings xi. 4 seq.), xxxiv. 9-14 (2 Kings xxii.), xxxv. 1-19 (2 Kings xxiii. 21-23).

8Passages in the books of Samuel and Kings which might appear to point to the contrary require careful examination; they prove to be glosses or interpolations, or are relatively late as a whole.

9The view that the chroniclerinventedsuch narratives is inconceivable, and in the present stage of historical criticism is as unsound as an implicit reliance upon those sources in the earlier books, which in their turn are often long posterior to the events they record. Although Graf, in a critical and exhaustive study (Geschichtlichen Bücher des A.T., Leipzig, 1866), concluded that the Chronicles have almost no value as a documentary source of the ancient history, he subsequently admitted in private correspondence with Bertheau that this statement was too strong (preface to Bertheau’sCommentary, 2nd ed., 1873).

CHRONOGRAPH(from Gr.χρόνος, time, andγράφειν, to write). Instruments whereby periods of time are measured and recorded are commonly called chronographs, but it would be more correct to give the name to the records produced. Instruments such as “stop watches” (seeWatch), by means of which the time between events is shown on a dial, are also called chronographs; they were originally rightly called chronoscopes (σκοπεῖν, to see).

In the first experiments in ballistics by B. Robins, Count Rumford and Charles Hutton, the velocity of a projectile was found by means of the ballistic pendulum, in which the principle of momentum is applied in finding the velocity of a projectile (Principles of Gunnery, by Benjamin Robins, edited by Hutton, 1805, p. 84). It consisted of a pendulum of considerable weight, which was displaced from its position of rest by the impact of the bullet, the velocity of which was required. A modification of the ballistic pendulum was also employed by W.E. Metford (1824-1899) in his researches on different forms of rifling; the bob was made in the form of a long cylinder, weighing about 140 ℔, suspended with its axis horizontal from four wires at each end, all moving points being provided with knife edges. The true length of suspension was deduced from observations of the time of a complete small oscillation. The head of the pendulum was furnished with a wooden block, which caught the fragments of bullets fired at it, and its displacement was recorded by a rod moved by the bob (The Book of the Rifle, by the Hon. T.F. Fremantle, p. 336). An improved ballistic pendulum in which the geometric method of suspension is introduced has been used by A. Mallock, to determine the resistance of the air to bullets having a velocity up to 4500 F/S. (Proc. Roy. Soc., Nov. 1904). A ballistic pendulum, carried by a geometric suspension from five points, has also been employed by C.V. Boys in a research on the elasticity of golf balls, the displacement of the bob being recorded on a sheet of smoked glass.1For further information on the dynamics of the subject seeText Book of Gunnery, 1897, p. 101.

In nearly all forms of chronographs in which the ballistic pendulum method is not used, the beginning and end of a period of time is recorded by means of some kind of electrically controlled mechanism; and in order that small fractions of a second may be measured, tuning-forks are employed, giving any convenient number of vibrations per second, a light style or scribing point, usually of aluminium, being attached to one of the legs of the tuning-fork. A trace of the vibration is made on a surface blackened with the deposit from the smoke of a lamp. Glazed paper is often employed when the velocity of the surface is slow, but when a high velocity of smoked surface is necessary, smoked glass offers far the least resistance to the movement of the scribing points. If the surface be cylindrical, thin sheet mica attached to it, and smoked, gives excellent results, and offers but little resistance to all the scribing points employed. The period of vibration of tuning-forks is determined by direct or indirect comparison with the mean solar second, taken from a standard clock, the rate of which is known from transit observations (“Recherches sur les vibrations d’un diapason étalon,” R. Koenig,Wied. Ann., 1880). In the celebrated ballistic experiments of the Rev. F. Bashforth, the time markings were made electrically from a standard clock, and fractions of a second were estimated by interpolation. Regnault (Mémoires de l’acad. des sciences, t. xxxvii.) employed both a standard clock and a tuning-fork in his determination of the velocity of sound. The effect of temperature on tuning-forks has been determined by Lord Rayleigh and Professor H. McLeod (Proc. Roy. Soc., 1880, 26, p. 162), who found the coefficient to be 0.00011 per degree C. between 9° C. and 27° C. The beginning and end of a time period is marked on a moving surface in many ways. Usually an electromagnetic stylus is employed, in which a scribing point suddenly moves when the electric circuit is broken by a projectile. Another method is to arrange the terminals of the secondary circuit of an induction coil, so that when the primary circuit is opened a small spark punctures or marks a moving surface (Helmholtz,Phil. Mag., 1853, p. 6). A photographic plate or film, moving in a dark chamber, is also used to receive markings produced by a beam of light interrupted by a small screen attached to an electromagnetic stylus, or by the legs of a tuning-fork, or by the mercury column of a capillary electrometer. In certain researches on the explosive wave of gases the light given by the burning gases made the time trace on a rapidly moving photographic film (H.B. Dixon,Phil. Trans., 1903, 200, p. 323). In physiological chronography the stylus is in many cases actuated directly by the piece of muscle to which it is attached; when the muscle is stimulated its contraction moves the stylus on the moving surface of the myograph (M. Foster,Text Book of Physiology, 1879, p. 39).

Gun Chronographs.—Probably the earliest forms of chronographs, not based on the ballistic pendulum method, are due to Colonel Grobert, 1804, and Colonel Dabooz, 1818, both officers of the French army. In the instrument by Grobert twoGrobert and Dabooz.large disks, attached to the same axle 13 ft. apart, were rapidly rotated; the shot pierced each disk, the angle between two holes giving the time of flight of the ball, when the angular velocity of the disks was known. In the instrument by Colonel Dabooz a cord passing over two light pulleys, one close to the gun, the other at a given distance from it, was stretched by a weight at the gun end and by a heavy screen at the other end. Behind this screen there was a fixed screen. The shot cut the cord and liberated the screen, which was perforated during its fall. The height of fall was measured by superposing the hole in the moving screen upon that in the fixed one. This gave the approximate time of flight of the shot over a given distance, and hence its velocity.In the early form of chronoscope invented by Sir C. Wheatstone in 1840 the period of time was measured by means of a species of clock, driven by a weight; the dial pointer was started and stopped by the action of an electromagnet which moved aWheatstone.pawl engaging with a toothed wheel fixed on the axle to which the dial pointer was attached. The instrument applied to the determination of the velocity of shot is described thus by Wheatstone:—“A wooden ring embraced the mouth of the gun, and a wire connected the opposite sides of the ring. At a proper distance the target was erected, and so arranged that the least motion given to it would establish a permanent contact between two metal points. One of the extremities of the wire of the electromagnet (before mentioned) was attached to one pole of a small battery; to the other extremity of the electromagnet were attached two wires, one of which communicated with the contact piece of the target, and the other with one of the ends of the wire stretched across the mouth of the gun; from the other extremity of the voltaic battery two wires were taken, one of which came to the contact piece of the target, and the other to the opposite extremity of the wire across the mouth of the gun. Before the firing of the gun a continuous circuit existed, including the gun wire; when the target was struck the second circuit was completed; but during the passage of the projectile both circuits were interrupted, and the duration of this interruption was indicated by the chronoscope.”Professor Joseph Henry (Journal Franklin Inst., 1886) employed a cylinder driven by clockwork, making ten revolutions per second. The surface was divided into 100 equal parts, each equal to 1/1000 second. The time marks were made by two galvanometerHenry.needles, when successive screens were broken by a shot. Henry also used an induction-coil spark to make the cylinder, the primary of the coil being in circuit with a battery and screen. This form of chronograph is in many respects similar to the instrument of Konstantinoff, which was constructed by L.F.C. Breguet and has been sometimes attributed to him (Comptes rendus, 1845). This chronograph consisted of a cylinder 1 metre in circumference and 0.36 metre long, driven by clockwork, the rotation being regulated by a governor provided with wings. A small carriage geared to the wheelwork traversed its length, carrying electromagnetic signals. The electric chronograph signal usually consists of a small armature (furnished with a style which marks a moving surface) moving in front of an electromagnet, the armature being suddenly pulled off the poles of the electromagnet by a spring when the circuit is broken (Journal of Physiology, ix. 408). The signals in Breguet’s instrument were in a circuit, including the screens and batteries of a gun range. The measurement of time depended on theregularity of rotation of the cylinder, on which each mm. represented 1/1000 second.In the chronograph of A.J.A. Navez (1848) the time period is found by means of a pendulum held at a large angle from the vertical by an electromagnet, which is in circuit with a screen on the gun range. When the shot cuts this screen the circuitNavez.is broken and the pendulum liberated and set swinging. When the next screen on the range is broken by the shot, the position of the pendulum is recorded and the distance it has passed through measured on a divided arc. From this the time of traversing the space between the screens is deduced. By means of an instrument known as a disjunctor the instrumental time-loss or latency of the chronograph is determined.In Benton’s chronograph (1859) twoBenton.pendulums are liberated, in the same manner as in the instrument of Navez, one on the cutting of the first screen, the other on the cutting of the second. The difference between the swings of the two pendulums gives the time period sought for. The disjunctor is also used in connexion with this instrument. In Vignotti’s chronograph (1857) again a pendulum is employed, furnished with a metal point, which moves close to paper impregnated with ferro-cyanide of potassium. The gun-range screens are included in the primary circuits of induction coils; when these circuits are broken a spark from the pointer marks the paper. From these marks the time of traverse of the shot between the screens is determined.In the Bashforth chronograph a platform, arranged to descend slowly alongside of a vertical rotating cylinder, carries two markers, controlled by electromagnets, which describe a double spiral on the prepared surface of the cylinder. OneBashforth.electromagnet is in circuit with a clock, and the marker actuated by it marks seconds on the cylinder; the circuit of the other is completed through a series of contact pieces attached to the screens through which the shot passes in succession. On the gun range, when the shot reaches the first screen, it breaks a weighted cotton thread, which keeps a flexible wire in contact with a conductor. When the thread is broken by a shot, the wire leaves the conductor and almost immediately establishes the circuit through the next screen, by engaging with a second contact, the time of the rupture being recorded on the cylinder by the second marker. The velocity with which the cylinder rotates is such that the distance between successive clock marks indicating seconds is about 18 in.; hence the marks corresponding with the severance of a thread can be allotted their value in fractions of seconds with great accuracy. The times when the shot passes successive screens being thus recorded on the spiral described by the second marker, and the distance between each screen being known, the velocity of the shot can be calculated.The chronoscope invented by Sir Andrew Noble is so well adapted to the measurement of very small intervals of time that it is usually employed to ascertain the velocity acquired by a shot at different parts of the bore in moving from a state of restNoble.inside the gun. A series of “cutting plugs” is screwed into the sides of the gun at measured intervals, and in each is inserted a loop of wire which forms part of the primary circuit of an induction coil. On the passage of a shot this wire is severed by means of a small knife which projects into the bore and is actuated by the shot as it passes; the circuit being thus broken, a spark passes between the terminals of the secondary of the coil. There is a separate coil and circuit for each plug. The recording arrangement consists of a series of disks, one for each plug, mounted on one axle and rotating at a high angular velocity. The edges of these disks are covered with a coating of lamp-black, and the secondaries of the coils are caused to discharge against them, so that a minute spot burnt in the lamp-black of each disk indicates the moment of the cutting of the wire in the corresponding plug. Hence measurement of the distance between two successive spots gives the time occupied by the shot in moving over the portion of the bore between two successive plugs. By the aid of a vernier, readings are made to thousandths of an inch, and the peripheral velocity of the disks being 1100 in. a second, the machine indicates portions of time rather less than one-millionth of a second; it is, in fact, practically correct to hundred-thousandths of a second (Phil. Trans., 1875, pt. i.).In the Le Boulengé chronograph (“Chronograph le Boulengé,” par M. Bréger, Commission de Gâvre, Sept. 1880) two screens are used. The wire of the first forms part of the circuit of an electromagnet which, so long as it is energized, supportsLe Boulengé.a vertical rod called the “chronometer.” Hence when the circuit is broken by the passage of a shot through the screen this rod drops. The wire of the second screen conveys a current through another electromagnet which supports a much shorter rod. This “registrar,” as it is called, when released by the shot severing the wire of the second screen, falls on a disk which sets free a spring, and causes a horizontal knife to fly forward and nick a zinc tube with which the chronometer rod is sheathed. Hence the long rod will be falling for a certain time, while the shot is travelling between the two screens, before the short rod is released; and the longer the shot takes to travel this distance, the farther the long rod falls, and the higher up on it will be the nick made by the knife. A simple calculation connects the distance through which the rod falls with the time occupied by the shot in travelling over the distance between the screens, and thus its velocity ascertained. The nick made by the knife, if released while the chronometer rod is still suspended, is the zero point. If both rods are released simultaneously, as is done by breaking both circuits at once by means of a “disjunctor,” a certain time is consumed by the short rod in reaching the disk, setting free the spring and cutting a nick in the zinc; and during this time the long rod is falling into a recess in the stand deep enough to receive its full length. The instrument is so adjusted that the nick thus made is 4.435 in. above the zero point, corresponding to 0.15 sec. This is the disjunctor reading, and requires to be frequently corrected during experiments. The instrument was modified and improved by Colonel H.C. Holden, F.R.S. For further information respecting formulae relating to it seeText Book of Gunnery(1857).The electric chronograph of the late H.S.S. Watkin consists of two long cylinders rotating on vertical axes, and between them a cylindrical weight, having a pointed head, is free to fall. The weight is furnished with an insulated wire whichWatkin.passes through it at right angles to its longest axis. When the weight falls the ends of the insulated wire move very close to the surfaces of the cylinders which form part of a secondary circuit of an induction coil, the primary circuit of which is opened when a screen is ruptured by a shot. A minute mark is made by the induced spark on the smoked paper with which the cylinders are covered. The time period between events is deduced from the space fallen through by the weight, and by means of a scale, graduated for a given distance between the screens, the velocity of a shot is at once found. It may be noted that the method of release is such that the falling weight is not subjected, after it has begun to fall, to a diminishing magnetic field, which would be the case if it were directly supported by an electromagnet. An iron rod when falling from an electromagnet, during a minute portion of its fall, is subject to a diminishing force acting in the opposite sense to that of gravity, whereby its time of fall is slightly changed.Colonel Sebert (Extraits du mémorial de l’artillerie de la marine) devised a chronograph to indicate graphically the motion of recoil of a cannon when fired. A pillar fixed to the ground at the side of the gun-carriage supported a tuning-fork, theSebert.vibration of which was maintained electrically. The fork was provided with a tracing point attached to one of the prongs, and so adjusted that it drew its path on a polished sheet of smoke-blackened metal attached to the gun-carriage, which traversed past the tracing point when the gun ran back. The fork used made 500 complete vibrations per second. A central line was drawn through the curved path of the tracing point, and every entire vibration cut the straight line twice, the interval between each intersection equalling 1/1000 second. The diagram so produced gave ihe total time of the accelerated motion of recoil of the gun, the maximum velocity of recoil, and the rate of acceleration of recoil from the beginning to the end of the motion. By means of an instrument furnished with a microscope and micrometers, the length and amplitude, and the angle at which the curved line cut the central line, were measured. At each intersection (according to the inventor) the velocity could be deduced. The motion at any intersection being compounded of the greatest velocity of the fork, while passing through the midpoint of the vibration and the velocity of recoil, the tangent made by the curve with the straight line represents the ratio of the velocity of the fork to the velocity of recoil. If a be the amplitude of vibration, considered constant, v the velocity of the fork at the midpoint of its path, r the velocity of recoil, α the angle made by the tangent to the curve with the straight line at the point of intersection, and t the line of a complete vibration; then, v = 2πa/t; r = v/tan α.F. Jervis-Smith’s tram chronograph (Patents, 1894, 1897, 1903) was devised for measuring periods of time varying from about one-fourth to one twenty-thousandth part of a second (Proc. Roy. Soc., 1889, 45, p. 452;The Tram Chronograph, byJervis-Smith.F. Jervis-Smith, F.R.S.). It consists of a metal girder having a T-shaped end. This carries two parallel steel rails, the edges of which lie in the same vertical plane. The girder, which is slightly inclined to the horizontal plane, is geometrically supported, being carried at its end, and at the extremities of the T-piece, on a V-groove, trihedral hole and plane. A carriage or tram furnished with three grooved wheels runs on the rails, and a slightly smoked glass plate is attached to its vertical side. The tram in the original instrument was propelled by a falling weight, but in an improved form one or more spiral springs are employed. All time traces are made immediately after the propelling force has ceased to act. The tram is brought to rest by a gradually applied brake, consisting of two crossed leather bands stretched by two springs; a projection from the tram runs between the bands, and brings it to rest with but little lateral pressure. When, for certain physiological experiments, a low velocity of traverse is required, a heavy fly-wheel is mounted on the tram and geared to its wheels. A pillar also mounted geometrically, placed vertically in front of the carriage, carries the electromagnet style or signals and tuning-fork which can be brought into contact with the glass by means of a lever. Also styli are used which depend for their action on the displacement of one or more wires under tension or torsion carrying a current in a magnetic field, the condition being such that no magnetic lag due to iron armatures and cores exists. Two motions of a slide on the pillar, viz. of rotation and translation, allow a number of observations to be made. The traces are counted out on a sloping glass desk, and the time of flight of a projectile between two or more screens is found. Whenvery close readings are required, they are made by means of a traversing geometric micrometer microscope. When the distance between the screens is known, and also the time of flight, the midpoint velocity is found by applying Bashforth’s formula. When the velocity of shot from a shot-gun has to be found, a thin wire stretched across the muzzle takes the place of the first screen, and a thin sheet of metal or cardboard carrying an electric contact, or a Branly coherer, the conductivity of which is restored by means of an induced current, takes the place of the second screen. The electric firing circuit is provided with a safety key attached by a cord to the man who loads the gun and prepares the electric fuse. The firing circuit is closed by inserting the key in a switch at the rear of the gun, thus preventing him from getting into the line of fire when the gun is fired by the chronograph. The tram, when the instrument is adjusted, has a practically constant velocity of traverse.The polarizing photo-chronograph, designed and used by A.C. Crehore and G.O. Squier at the United States Artillery School (Trans. Amer. Inst. Elect. Eng.vol. 14, andJournal United States Artillery, 1895, 6, p. 271), depends for itsCrehore-Squier.indications upon the rotation of a beam of light by a magnetic field, produced by a solenoidal current which is opened and closed by the passage of the projectile. The general arrangement is as follows:—A beam of light from an electric lamp traverses a lens, then a Nicol prism, next a glass cylinder furnished with plane glass ends and coiled with insulated wire, then an analyser and two lenses, finally impinging on a photographic plate to which rotation is given by an electric motor, the plane of rotation being perpendicular to the direction of the beam of light. The same plate also records the shadow of a pierced projection attached to a tuning-fork, light from the electric lamp being diverted by a mirror for this purpose. The solenoid used to produce a magnetic field across the glass cylinder, which is filled with carbon bisulphide, is in circuit with a dynamo, resistances, and the screens on the gun range. It is a well-known phenomenon in physics that when, with the above-mentioned combination of polarizing Nicol prism and analyser, the light is shut off by rotating the analyser, it is instantly restored when the carbon bisulphide is placed in a magnetic field. This phenomenon is utilized in this instrument. The projectile, by cutting the wire screens, causes the magnetic field to cease and light to pass. By means of an automatic switch the projectile, after cutting a screen, restores the electric circuit, so that successive records are registered. After a record has been made it is read by means of a micrometer microscope, the angle moved through by the photographic disk is found, and hence the time period between two events. In the photo-chronograph described inUntersuchungen über die Vibration des Gewehrlaufs, by C. Cranz and K.R. Koch (Munich, 1899), also note on the same,Nature, 61, p. 58, a sensitive plate moving in a straight line receives the record of the movement of the barrels of firearms when discharged. It was mainly used to determine the “angle or error of departure” in ballistics.In a second chronograph by Watkin (“Chronographs and their Application to Gun Ballistics,”Proc. Roy. Inst., 1896), a metal drum, divided on its edge so that when a vernier is used a minute of angle may be read, is rotated rapidly by a motor at aWatkin.practically uniform speed. The points of a row of steel-pointed pins, screwed into a frame of ebonite, can be brought within 1/200 in. of the surface of the drum. Each pin is a part of the secondary circuit of an induction coil, the space between the pins and the drum forming spark-gaps. The drum is rubbed over with a weak solution of paraffin wax in benzol, which causes the markings produced by the sparks to be well defined. The records are read by means of a fine hair stretched along the drum and just clear of it, the dots being located under the hair by means of a lens. The velocity of rotation is found by obtaining spark marks, due to the primary circuits of two induction coils being successively broken by a weight falling and breaking the two electric circuits of the coils in succession at a known distance apart. This chronograph has been used for finding the velocity of projectiles after leaving the gun, and also for finding the rate at which a shot traverses the bore. For the latter purpose the shot successively cuts insulated wires fixed in plugs screwed into the gun at known intervals; each wire forms a part of the primary of an induction coil, and as each is cut a dot is made on the rotating drum by the induced spark.In the chronograph of Marcel Deprez, a cylinder for receiving records is driven at a high velocity, 4 to 5 metres per second surface velocity. The velocity is determined by means of anDeprez.electrically-driven tuning-fork, the traces being read by means of a vernier gauge. A mercury speed indicator of the Ramsbottom type enables the rotation to be continuously controlled (A. Favarger,L’Électricité et ses applications à la chronométrie).Astronomical Chronographs.—The astronomical chronograph is an instrument whereby an observer is enabled to register the time of transit of a star on a sheet of paper attached to a revolving cylinder. A metal cylinder covered with a sheet ofDent.paper is rotated by clockwork controlled by a conical pendulum, or by a centrifugal clock governor such as is used for driving a telescope. By means of a screw longer than the cylinder, mounted parallel with the axis of the cylinder and rotated by the clockwork, a carriage is made to traverse close to the paper. In some instruments this carriage is furnished with a metal point, and in others with a stylographic ink pen. The point or pen is made to touch the paper by an electromagnet, the electric current of which is closed by the observer at the transit instrument, and a mark is recorded on the revolving cylinder. The movement of the same point or pen is also controlled by a standard clock, so that at the end of each second a mark is made. The cylinder makes one revolution per minute, and the minute is indicated by the omission of the mark. In E.J. Dent’s form (Nature, 23, p. 59) continuous observations can be recorded for 62⁄3hours. The conical pendulum used to govern the rotation of the cylinder was the invention of Sir G.B. Airy. The lower end is geared to a metal plate which sweeps through an annular trough filled with glycerin and water. When the path of the pendulum exceeds a certain diameter it causes the plate to enter the liquid more deeply, its motion being thereby checked; also, when the pendulum moves in a smaller circle the plate is lifted out of the liquid and the resistance is diminished in the same proportion as the force. The compensatory action is considerable; doubling the driving power produces no perceptible difference in the time. To prevent the injury of the conical pendulum and the wheel work by any sudden check of the cylinder, a ratch-wheel connexion is placed between the cylinder and the train of wheel work; this enables the pendulum to run on until it gradually comes to rest. The pendulum, which weighs about 18 ℔, is compensated, and makes one revolution in two seconds; it is suspended from a bracket by means of two flexible steel springs placed at right angles to one another.The observatory of Washburn, University of Wisconsin, is furnished with a chronograph of the same type as that of Dent (Annals Harvard Coll. Obs.vol. i. pt. ii. p. 34), but in this instrument the rotation of the cylinder is controlled by a double conical pendulum governor of peculiar construction. When the balls fly out beyond a certain point, one of them engages with a hook attached to a brass cylinder which embraces the vertical axle loosely. When this mass is pulled aside the work done on it diminishes the speed of the governor. The pendulum ball usually strikes the hook from 60 to 70 times per minute. Governors on this principle were adopted by Alvan Clark for driving heliostats in the United States Transit of Venus Expedition, 1874.In the astronomical chronograph designed by Sir Howard Grubb (Proc. Inst. Mech. Eng., July 1888), the recording cylinders—two in number—are driven by a weight acting on a train of wheel work controlled by an astronomical telescope governor.Grubb.The peculiar feature of this instrument is that the axle is geared to a shaft which communicates motion to the cylinders through a mechanism whereby the speed of rotation is constantly corrected by a standard clock. Should the rotation fall below the correct speed it is automatically accelerated, and if its speed of rotation rises above the correct one it is retarded. The accelerator and retarder are thrown into action by electromagnets, controlled by a “detector” mounted on the same shaft. The rather complicated mechanism employed to effect the correction is described and fully illustrated in the reference given. The cylinders are covered with paper, but all the markings are made with a stylographic pen. The marks indicating seconds are dots, but those made by the observer are short lines. When an observation is about to be made the observer first notes the hour and minute, and, by pressing a contact key attached to a flexible cord at the transit instrument, marks the paper with a letter in Morse telegraph characters, indicating the hour and minute; he then waits till a micrometer wire cuts a star and at the instant closes the circuit, so that the second and fraction of a second are registered on the chronograph paper. When a set of observations have been taken, the paper is removed from the cylinder, and the same results are obtained by applying a suitably divided rule to the marked paper, fractions of a second being estimated by applying a piece of glass ruled with eleven straight lines converging to a point. The ends of these lines on the base of the triangle so formed are equidistant on one edge of the glass, so that when the first and last lines are so placed as to coincide with the beginning and end of the markings of a second, that second is divided into ten equal parts. The base of the triangle is always kept parallel with the line of dots. The papers, after they have been examined and the results registered, are kept for reference.In the astronomical chronograph of Hipp, used in determining longitudes, the movement of a recording cylinder is regulated byHipp.means of a toothed wheel, the last of a clockwork train, controlled by a vibrating metal tongue; this important feature is described in detail in Favarger’s work cited above.Acoustic Chronographs.—In the chronograph devised by H.V. Regnault (Acad. des Sc., 1868) to determine the velocity of sound propagated through a great length of pipe, a band of paper 27 mm. wide was continuously unrolled from a bobbin by means of an electromagnetic engine. In its passage over aRegnault.pulley it passed over a smoky lamp flame, which covered it with a thin deposit of carbon. It next passed over a cylinder in contact with the style of a tuning-fork kept in vibration by electromagnets placed on either side of its prongs, the current being interrupted by the fork; it was also in contact with an electric signal controlled by a standard clock. Also an electromagnetic signal marked the beginning and end of a time period. Thus three markings were registered on the band, viz. the time of the pendulum, the vibrations of the fork, and the marking of the signal due to the opening andclosing of the current by electrical contacts attached to diaphragms on which the sound wave acted. The contacts consisted of minute hammers resting on metal points fixed to the centre of diaphragms which closed the end of the experimental pipes. The signal marked the instant at which a sound wave impinged on a diaphragm. The markings on the paper band gave the period of time between two events, and the number of vibrations of the tuning-fork per second was estimated by means of markings due to the clock. The sound wave was usually originated by firing a pistol into the pipe furnished with diaphragms and contact pieces.In the chronographic use of the Morse telegraph instrument (Stewart and Gee,Elementary Practical Phys.p. 234) a circuit is arranged which includes a seconds’ pendulum furnished with a fine platinum wire below the bob, which sweepsAyrton and Perry.through a small mass of mercury forming a part of the circuit. There is a Morse key for closing the circuit. A fast-running Morse instrument and a battery are placed across this circuit as a shunt. A succession of dots is made on the paper ribbon by the circuit being closed by the pendulum, and the space between each adjacent dot indicates a period of one second’s duration. Also, when the key is depressed, a mark is made on the paper. To measure a period of time, the key is depressed at the beginning and end of the period, causing two dots to be made on the ribbon; the interval between these, when measured by the intervals due to the pendulum, gives the length of the period in seconds, and also in fractions of a second, when the seconds’ interval is subdivided into convenient equal parts. This apparatus has been used in determination of the velocity of sound. In the break circuit arrangement of pendulum key and Morse instrument the markings appear as breaks in a line which would otherwise be continuous. This combination was employed by Professors W.E. Ayrton and J. Perry in their determination of the acceleration of gravity at Tokio, 1877-1878 (Proc. Phys. Soc. Lond.3, p. 268).In the tuning-fork electro-chronograph attributed to Hipp a metal cylinder covered with smoked glazed paper is rotated uniformly by clockwork, a tuning-fork armed with a metallic style being so adjusted that it makes a clear fine line on theHipp.smoked paper. The tuning-fork is placed in the secondary circuit of an induction coil, so that when the primary circuit is broken an induced spark removes a speck of black from the paper and leaves a mark. The time period is deduced by counting the number of vibrations and fractions of vibration of the tuning-fork as recorded by a sinuous line on the cylinder. In later forms of this instrument the cylinder advances as it rotates, and a spiral line is traced. To obtain good results the spark must be very small, for when large it often leaps laterally from the end of the style, and does not give the true position of the style when the circuit is broken. The same arrangement of tuning-fork and revolving cylinder, with the addition of a standard clock, has been used by A.M. Mayer (Trans.Mayer.Nat. Acad. Sci. U.S.A.vol. iii.) and others for calibrating tuning-forks, and comparing their vibrations directly with the beats of the pendulum of a standard clock the rate of which is known. The pendulum marks and breaks the primary circuit by carrying a small platinum wire through a small mercury meniscus. Better and apparently certain contacts can be obtained from platinum contact-pieces, brought together above the pendulum by means of a toothed wheel on the scape-wheel arbor. Sparking at the contact points is greatly reduced by placing a couple of lead plates in dilute sulphuric acid as a shunt across the battery circuit.For Physiological Purposes.—A. Fick’s pendulum myograph or muscle-trace recorder is described inVierteljahrsschr. der naturforsch. Ges. in Zürich, 1862, S. 307, and inText-book of Physiology, M. Foster, pp. 42, 45. It was used to obtain a recordFick.of the contraction of a muscle when stimulated. In many respects the instrument is similar to the electro-ballistic chronograph of Navez. A long pendulum, consisting of a braced metal frame, carries at its lower end a sheet of smoked glass. The pendulum swings about an axis supported by a wall bracket. Previous to an experiment, the pendulum is held on one side of its lowest position by a spring catch; when this is depressed it is free to swing. At the end of its swing it engages with another spring catch. In front of the moving glass plate a tuning-fork is fixed, also a lever actuated by the muscle to be electrically stimulated. When the pendulum swings through its arc, it knocks over the contact key in the primary circuit of an induction coil, the secondary of which is in connexion with the muscle. The smoked plate receives the traces of the style of the tuning-fork and of the lever attached to the muscle, and also the trace of an electromagnetic signal which marks the instant at which the primary circuit is broken. After the traces are made, they are ruled through with radial lines, cutting the three traces, and the time intervals between different parts of the muscle curve are measured in terms of the period of vibration of the tuning-fork, as in other chronographs in which the tuning-fork is employed.In the spring myograph of E. Du Bois Reymond (Munk’sPhysiologie des Menschen, p. 398) a smoked glass plate attached to a metal rod is shot by a spiral spring along two guides with aDu Bois Reymond.velocity which is not uniform. The traces of a style moved by the muscle under examination, and of a tuning-fork, are recorded on the glass plate, the shooter during its traverse knocking over one or more electric keys, which break the primary circuit of an induction coil, the induced current stimulating the muscle.In the photo-electric chronograph devised by G.J. Burch, F.R.S. (Journ. of Physiology, 18, p. 125;Electrician, 37, p.436), the rapid movements of the column of mercury in a capillary electrometer used in physiological research are recorded on a sensitiveBurch.plate moving at a uniform angular velocity. The trace of the vibrating prongs of a tuning-fork of known period is also recorded on the plate, the light used being that of the electric arc. The images of the meniscus of the mercury column and of the moving fork are focused on the plate by a lens. Excellent results have been obtained with this instrument.An important development of a branch of chronography is due to E.J. Marey (Comptes rendus, 7. août 1882, andLe Mouvement, par E.J. Marey, Paris, 1894), who employed a photographic plate for receiving successive pictures of moving objects,Marey.at definite times, when investigating the movements of animals, birds, fishes, insects, and also microscopic objects such as vorticellae. The instrument in one of its forms consisted of a camera and lens. In front of the sensitive plate and close to it a disk, pierced with radial slits, revolved at a given angular velocity, and each time a slit passed by the plate was exposed. But since, in the time of passage of the space between the slits, the object had moved by a certain amount across the field of view, a fresh impression was produced at each exposure. The object, well illuminated by sunlight, moved in front of a black background. Since the angular velocity of the disk was known, and the number of slits, the time between the successive positions of the object was also known.Marey (La Méthode graphique, pp. 133, 142, 456), by means of pneumatic signals and a rotating cylinder covered with smoked glazed paper, measured the time of the movements of the limbs of animals. The instrument consists of a recording cylinder rotated at a uniform angular velocity by clockwork controlled by a fan governor, and pneumatic signal, constructed thus. One end of a closed shallow cylinder, about 4 cm. dia., is furnished with a stretched rubber membrane. A light lever, moving about an axis near the edge of the cylinder, is attached to the centre of the membrane by a short rod, its free end moving as the membrane is distended. The cylinder is connected by a flexible tube with a similar cylinder and membrane, but without a lever, which is attached to that part of the body of the animal the movement of which is under investigation. The system is full of air, so that when the membrane attached to the animal is compressed, the membrane which moves the lever is distended and the lever moved. Its end, which carries a scribing point, marks the smoked paper on the rotating cylinder. The pneumatic signal is called by Marey “tambour à levier.”References to Chronographic Methods:—(1) Chronographs used in Physiology: Helmholtz, “On Methods of measuring very small Portions of Time,”Phil. Mag.(1853), 6; Id.,Verhandlungen der physikalisch-medicinischen Gesellschaft in Würzburg(1872); Harless, “Das Attwood’sche Myographion,”Abhandlungen der k. bayerischen Akademie der Wissenschaften(1862); Id.,Fall-Myographion aufgestellt in der Wiener Weltausstellung in der Abteilung für das Unterrichtswesen von Ungarn(Budapest, 1873); Hensen, “Myographion mit vibratorischer Bewegung,”Arbeiten aus dem Kieler physiol. Instit.(1868); Brücke,Sitzungsber. d Wien. Acad.(1877); Pflüger, “Myographion ohne Bewegung,”Untersuchungen über die Physiologie des Electrotonus(1859); Pouillet,Compt. rend.(1844); I. Munk,Physiologie des Menschen(for Pflüger’s cylinder governed by conical pendulum); J.G. M’Kendrick,Life in Motion(1892) (for early form of cylinder chronograph by Thomas Young); Stirling,Outlines of Practical Physiology(for reaction-time chronographs of F. Galton and Exner). (2) Chronographs used in gun work and for other purposes: Sabine,Phil. Mag.(1876); Moisson,Notice sur la chronographie système Schultz(Paris, 1875); Paul la Cour,La Roue phonique(Copenhagen, 1878); Mach, “Collected Papers on Chronographs,”Nature, 42, p. 250; C.V. Boys, “Bullets photographed in Flight,”Nature, 47, p. 415; Pneumatic Tube Co., Paris, “Chronograph,”Nature, 9, p. 105; G.C. Foster, “Laboratory Chronograph,”Nature, 13, p. 139; E.S. Holden, “Astronomical Chronograph,”Nature, 26, p. 368; D’Arsonval,La Lumière électrique(1887); Dunn, “The Photo-retardograph,”Journal United States Artillery, 8, p. 29; E.J. Marey,La Méthode graphique(for Deprez accélérographe); Werner Siemens, “Electric Spark Chronograph,”Wied. Ann.(1845), 66.

Gun Chronographs.—Probably the earliest forms of chronographs, not based on the ballistic pendulum method, are due to Colonel Grobert, 1804, and Colonel Dabooz, 1818, both officers of the French army. In the instrument by Grobert twoGrobert and Dabooz.large disks, attached to the same axle 13 ft. apart, were rapidly rotated; the shot pierced each disk, the angle between two holes giving the time of flight of the ball, when the angular velocity of the disks was known. In the instrument by Colonel Dabooz a cord passing over two light pulleys, one close to the gun, the other at a given distance from it, was stretched by a weight at the gun end and by a heavy screen at the other end. Behind this screen there was a fixed screen. The shot cut the cord and liberated the screen, which was perforated during its fall. The height of fall was measured by superposing the hole in the moving screen upon that in the fixed one. This gave the approximate time of flight of the shot over a given distance, and hence its velocity.

In the early form of chronoscope invented by Sir C. Wheatstone in 1840 the period of time was measured by means of a species of clock, driven by a weight; the dial pointer was started and stopped by the action of an electromagnet which moved aWheatstone.pawl engaging with a toothed wheel fixed on the axle to which the dial pointer was attached. The instrument applied to the determination of the velocity of shot is described thus by Wheatstone:—“A wooden ring embraced the mouth of the gun, and a wire connected the opposite sides of the ring. At a proper distance the target was erected, and so arranged that the least motion given to it would establish a permanent contact between two metal points. One of the extremities of the wire of the electromagnet (before mentioned) was attached to one pole of a small battery; to the other extremity of the electromagnet were attached two wires, one of which communicated with the contact piece of the target, and the other with one of the ends of the wire stretched across the mouth of the gun; from the other extremity of the voltaic battery two wires were taken, one of which came to the contact piece of the target, and the other to the opposite extremity of the wire across the mouth of the gun. Before the firing of the gun a continuous circuit existed, including the gun wire; when the target was struck the second circuit was completed; but during the passage of the projectile both circuits were interrupted, and the duration of this interruption was indicated by the chronoscope.”

Professor Joseph Henry (Journal Franklin Inst., 1886) employed a cylinder driven by clockwork, making ten revolutions per second. The surface was divided into 100 equal parts, each equal to 1/1000 second. The time marks were made by two galvanometerHenry.needles, when successive screens were broken by a shot. Henry also used an induction-coil spark to make the cylinder, the primary of the coil being in circuit with a battery and screen. This form of chronograph is in many respects similar to the instrument of Konstantinoff, which was constructed by L.F.C. Breguet and has been sometimes attributed to him (Comptes rendus, 1845). This chronograph consisted of a cylinder 1 metre in circumference and 0.36 metre long, driven by clockwork, the rotation being regulated by a governor provided with wings. A small carriage geared to the wheelwork traversed its length, carrying electromagnetic signals. The electric chronograph signal usually consists of a small armature (furnished with a style which marks a moving surface) moving in front of an electromagnet, the armature being suddenly pulled off the poles of the electromagnet by a spring when the circuit is broken (Journal of Physiology, ix. 408). The signals in Breguet’s instrument were in a circuit, including the screens and batteries of a gun range. The measurement of time depended on theregularity of rotation of the cylinder, on which each mm. represented 1/1000 second.

In the chronograph of A.J.A. Navez (1848) the time period is found by means of a pendulum held at a large angle from the vertical by an electromagnet, which is in circuit with a screen on the gun range. When the shot cuts this screen the circuitNavez.is broken and the pendulum liberated and set swinging. When the next screen on the range is broken by the shot, the position of the pendulum is recorded and the distance it has passed through measured on a divided arc. From this the time of traversing the space between the screens is deduced. By means of an instrument known as a disjunctor the instrumental time-loss or latency of the chronograph is determined.In Benton’s chronograph (1859) twoBenton.pendulums are liberated, in the same manner as in the instrument of Navez, one on the cutting of the first screen, the other on the cutting of the second. The difference between the swings of the two pendulums gives the time period sought for. The disjunctor is also used in connexion with this instrument. In Vignotti’s chronograph (1857) again a pendulum is employed, furnished with a metal point, which moves close to paper impregnated with ferro-cyanide of potassium. The gun-range screens are included in the primary circuits of induction coils; when these circuits are broken a spark from the pointer marks the paper. From these marks the time of traverse of the shot between the screens is determined.

In the Bashforth chronograph a platform, arranged to descend slowly alongside of a vertical rotating cylinder, carries two markers, controlled by electromagnets, which describe a double spiral on the prepared surface of the cylinder. OneBashforth.electromagnet is in circuit with a clock, and the marker actuated by it marks seconds on the cylinder; the circuit of the other is completed through a series of contact pieces attached to the screens through which the shot passes in succession. On the gun range, when the shot reaches the first screen, it breaks a weighted cotton thread, which keeps a flexible wire in contact with a conductor. When the thread is broken by a shot, the wire leaves the conductor and almost immediately establishes the circuit through the next screen, by engaging with a second contact, the time of the rupture being recorded on the cylinder by the second marker. The velocity with which the cylinder rotates is such that the distance between successive clock marks indicating seconds is about 18 in.; hence the marks corresponding with the severance of a thread can be allotted their value in fractions of seconds with great accuracy. The times when the shot passes successive screens being thus recorded on the spiral described by the second marker, and the distance between each screen being known, the velocity of the shot can be calculated.

The chronoscope invented by Sir Andrew Noble is so well adapted to the measurement of very small intervals of time that it is usually employed to ascertain the velocity acquired by a shot at different parts of the bore in moving from a state of restNoble.inside the gun. A series of “cutting plugs” is screwed into the sides of the gun at measured intervals, and in each is inserted a loop of wire which forms part of the primary circuit of an induction coil. On the passage of a shot this wire is severed by means of a small knife which projects into the bore and is actuated by the shot as it passes; the circuit being thus broken, a spark passes between the terminals of the secondary of the coil. There is a separate coil and circuit for each plug. The recording arrangement consists of a series of disks, one for each plug, mounted on one axle and rotating at a high angular velocity. The edges of these disks are covered with a coating of lamp-black, and the secondaries of the coils are caused to discharge against them, so that a minute spot burnt in the lamp-black of each disk indicates the moment of the cutting of the wire in the corresponding plug. Hence measurement of the distance between two successive spots gives the time occupied by the shot in moving over the portion of the bore between two successive plugs. By the aid of a vernier, readings are made to thousandths of an inch, and the peripheral velocity of the disks being 1100 in. a second, the machine indicates portions of time rather less than one-millionth of a second; it is, in fact, practically correct to hundred-thousandths of a second (Phil. Trans., 1875, pt. i.).

In the Le Boulengé chronograph (“Chronograph le Boulengé,” par M. Bréger, Commission de Gâvre, Sept. 1880) two screens are used. The wire of the first forms part of the circuit of an electromagnet which, so long as it is energized, supportsLe Boulengé.a vertical rod called the “chronometer.” Hence when the circuit is broken by the passage of a shot through the screen this rod drops. The wire of the second screen conveys a current through another electromagnet which supports a much shorter rod. This “registrar,” as it is called, when released by the shot severing the wire of the second screen, falls on a disk which sets free a spring, and causes a horizontal knife to fly forward and nick a zinc tube with which the chronometer rod is sheathed. Hence the long rod will be falling for a certain time, while the shot is travelling between the two screens, before the short rod is released; and the longer the shot takes to travel this distance, the farther the long rod falls, and the higher up on it will be the nick made by the knife. A simple calculation connects the distance through which the rod falls with the time occupied by the shot in travelling over the distance between the screens, and thus its velocity ascertained. The nick made by the knife, if released while the chronometer rod is still suspended, is the zero point. If both rods are released simultaneously, as is done by breaking both circuits at once by means of a “disjunctor,” a certain time is consumed by the short rod in reaching the disk, setting free the spring and cutting a nick in the zinc; and during this time the long rod is falling into a recess in the stand deep enough to receive its full length. The instrument is so adjusted that the nick thus made is 4.435 in. above the zero point, corresponding to 0.15 sec. This is the disjunctor reading, and requires to be frequently corrected during experiments. The instrument was modified and improved by Colonel H.C. Holden, F.R.S. For further information respecting formulae relating to it seeText Book of Gunnery(1857).

The electric chronograph of the late H.S.S. Watkin consists of two long cylinders rotating on vertical axes, and between them a cylindrical weight, having a pointed head, is free to fall. The weight is furnished with an insulated wire whichWatkin.passes through it at right angles to its longest axis. When the weight falls the ends of the insulated wire move very close to the surfaces of the cylinders which form part of a secondary circuit of an induction coil, the primary circuit of which is opened when a screen is ruptured by a shot. A minute mark is made by the induced spark on the smoked paper with which the cylinders are covered. The time period between events is deduced from the space fallen through by the weight, and by means of a scale, graduated for a given distance between the screens, the velocity of a shot is at once found. It may be noted that the method of release is such that the falling weight is not subjected, after it has begun to fall, to a diminishing magnetic field, which would be the case if it were directly supported by an electromagnet. An iron rod when falling from an electromagnet, during a minute portion of its fall, is subject to a diminishing force acting in the opposite sense to that of gravity, whereby its time of fall is slightly changed.

Colonel Sebert (Extraits du mémorial de l’artillerie de la marine) devised a chronograph to indicate graphically the motion of recoil of a cannon when fired. A pillar fixed to the ground at the side of the gun-carriage supported a tuning-fork, theSebert.vibration of which was maintained electrically. The fork was provided with a tracing point attached to one of the prongs, and so adjusted that it drew its path on a polished sheet of smoke-blackened metal attached to the gun-carriage, which traversed past the tracing point when the gun ran back. The fork used made 500 complete vibrations per second. A central line was drawn through the curved path of the tracing point, and every entire vibration cut the straight line twice, the interval between each intersection equalling 1/1000 second. The diagram so produced gave ihe total time of the accelerated motion of recoil of the gun, the maximum velocity of recoil, and the rate of acceleration of recoil from the beginning to the end of the motion. By means of an instrument furnished with a microscope and micrometers, the length and amplitude, and the angle at which the curved line cut the central line, were measured. At each intersection (according to the inventor) the velocity could be deduced. The motion at any intersection being compounded of the greatest velocity of the fork, while passing through the midpoint of the vibration and the velocity of recoil, the tangent made by the curve with the straight line represents the ratio of the velocity of the fork to the velocity of recoil. If a be the amplitude of vibration, considered constant, v the velocity of the fork at the midpoint of its path, r the velocity of recoil, α the angle made by the tangent to the curve with the straight line at the point of intersection, and t the line of a complete vibration; then, v = 2πa/t; r = v/tan α.

F. Jervis-Smith’s tram chronograph (Patents, 1894, 1897, 1903) was devised for measuring periods of time varying from about one-fourth to one twenty-thousandth part of a second (Proc. Roy. Soc., 1889, 45, p. 452;The Tram Chronograph, byJervis-Smith.F. Jervis-Smith, F.R.S.). It consists of a metal girder having a T-shaped end. This carries two parallel steel rails, the edges of which lie in the same vertical plane. The girder, which is slightly inclined to the horizontal plane, is geometrically supported, being carried at its end, and at the extremities of the T-piece, on a V-groove, trihedral hole and plane. A carriage or tram furnished with three grooved wheels runs on the rails, and a slightly smoked glass plate is attached to its vertical side. The tram in the original instrument was propelled by a falling weight, but in an improved form one or more spiral springs are employed. All time traces are made immediately after the propelling force has ceased to act. The tram is brought to rest by a gradually applied brake, consisting of two crossed leather bands stretched by two springs; a projection from the tram runs between the bands, and brings it to rest with but little lateral pressure. When, for certain physiological experiments, a low velocity of traverse is required, a heavy fly-wheel is mounted on the tram and geared to its wheels. A pillar also mounted geometrically, placed vertically in front of the carriage, carries the electromagnet style or signals and tuning-fork which can be brought into contact with the glass by means of a lever. Also styli are used which depend for their action on the displacement of one or more wires under tension or torsion carrying a current in a magnetic field, the condition being such that no magnetic lag due to iron armatures and cores exists. Two motions of a slide on the pillar, viz. of rotation and translation, allow a number of observations to be made. The traces are counted out on a sloping glass desk, and the time of flight of a projectile between two or more screens is found. Whenvery close readings are required, they are made by means of a traversing geometric micrometer microscope. When the distance between the screens is known, and also the time of flight, the midpoint velocity is found by applying Bashforth’s formula. When the velocity of shot from a shot-gun has to be found, a thin wire stretched across the muzzle takes the place of the first screen, and a thin sheet of metal or cardboard carrying an electric contact, or a Branly coherer, the conductivity of which is restored by means of an induced current, takes the place of the second screen. The electric firing circuit is provided with a safety key attached by a cord to the man who loads the gun and prepares the electric fuse. The firing circuit is closed by inserting the key in a switch at the rear of the gun, thus preventing him from getting into the line of fire when the gun is fired by the chronograph. The tram, when the instrument is adjusted, has a practically constant velocity of traverse.

The polarizing photo-chronograph, designed and used by A.C. Crehore and G.O. Squier at the United States Artillery School (Trans. Amer. Inst. Elect. Eng.vol. 14, andJournal United States Artillery, 1895, 6, p. 271), depends for itsCrehore-Squier.indications upon the rotation of a beam of light by a magnetic field, produced by a solenoidal current which is opened and closed by the passage of the projectile. The general arrangement is as follows:—A beam of light from an electric lamp traverses a lens, then a Nicol prism, next a glass cylinder furnished with plane glass ends and coiled with insulated wire, then an analyser and two lenses, finally impinging on a photographic plate to which rotation is given by an electric motor, the plane of rotation being perpendicular to the direction of the beam of light. The same plate also records the shadow of a pierced projection attached to a tuning-fork, light from the electric lamp being diverted by a mirror for this purpose. The solenoid used to produce a magnetic field across the glass cylinder, which is filled with carbon bisulphide, is in circuit with a dynamo, resistances, and the screens on the gun range. It is a well-known phenomenon in physics that when, with the above-mentioned combination of polarizing Nicol prism and analyser, the light is shut off by rotating the analyser, it is instantly restored when the carbon bisulphide is placed in a magnetic field. This phenomenon is utilized in this instrument. The projectile, by cutting the wire screens, causes the magnetic field to cease and light to pass. By means of an automatic switch the projectile, after cutting a screen, restores the electric circuit, so that successive records are registered. After a record has been made it is read by means of a micrometer microscope, the angle moved through by the photographic disk is found, and hence the time period between two events. In the photo-chronograph described inUntersuchungen über die Vibration des Gewehrlaufs, by C. Cranz and K.R. Koch (Munich, 1899), also note on the same,Nature, 61, p. 58, a sensitive plate moving in a straight line receives the record of the movement of the barrels of firearms when discharged. It was mainly used to determine the “angle or error of departure” in ballistics.

In a second chronograph by Watkin (“Chronographs and their Application to Gun Ballistics,”Proc. Roy. Inst., 1896), a metal drum, divided on its edge so that when a vernier is used a minute of angle may be read, is rotated rapidly by a motor at aWatkin.practically uniform speed. The points of a row of steel-pointed pins, screwed into a frame of ebonite, can be brought within 1/200 in. of the surface of the drum. Each pin is a part of the secondary circuit of an induction coil, the space between the pins and the drum forming spark-gaps. The drum is rubbed over with a weak solution of paraffin wax in benzol, which causes the markings produced by the sparks to be well defined. The records are read by means of a fine hair stretched along the drum and just clear of it, the dots being located under the hair by means of a lens. The velocity of rotation is found by obtaining spark marks, due to the primary circuits of two induction coils being successively broken by a weight falling and breaking the two electric circuits of the coils in succession at a known distance apart. This chronograph has been used for finding the velocity of projectiles after leaving the gun, and also for finding the rate at which a shot traverses the bore. For the latter purpose the shot successively cuts insulated wires fixed in plugs screwed into the gun at known intervals; each wire forms a part of the primary of an induction coil, and as each is cut a dot is made on the rotating drum by the induced spark.

In the chronograph of Marcel Deprez, a cylinder for receiving records is driven at a high velocity, 4 to 5 metres per second surface velocity. The velocity is determined by means of anDeprez.electrically-driven tuning-fork, the traces being read by means of a vernier gauge. A mercury speed indicator of the Ramsbottom type enables the rotation to be continuously controlled (A. Favarger,L’Électricité et ses applications à la chronométrie).

Astronomical Chronographs.—The astronomical chronograph is an instrument whereby an observer is enabled to register the time of transit of a star on a sheet of paper attached to a revolving cylinder. A metal cylinder covered with a sheet ofDent.paper is rotated by clockwork controlled by a conical pendulum, or by a centrifugal clock governor such as is used for driving a telescope. By means of a screw longer than the cylinder, mounted parallel with the axis of the cylinder and rotated by the clockwork, a carriage is made to traverse close to the paper. In some instruments this carriage is furnished with a metal point, and in others with a stylographic ink pen. The point or pen is made to touch the paper by an electromagnet, the electric current of which is closed by the observer at the transit instrument, and a mark is recorded on the revolving cylinder. The movement of the same point or pen is also controlled by a standard clock, so that at the end of each second a mark is made. The cylinder makes one revolution per minute, and the minute is indicated by the omission of the mark. In E.J. Dent’s form (Nature, 23, p. 59) continuous observations can be recorded for 62⁄3hours. The conical pendulum used to govern the rotation of the cylinder was the invention of Sir G.B. Airy. The lower end is geared to a metal plate which sweeps through an annular trough filled with glycerin and water. When the path of the pendulum exceeds a certain diameter it causes the plate to enter the liquid more deeply, its motion being thereby checked; also, when the pendulum moves in a smaller circle the plate is lifted out of the liquid and the resistance is diminished in the same proportion as the force. The compensatory action is considerable; doubling the driving power produces no perceptible difference in the time. To prevent the injury of the conical pendulum and the wheel work by any sudden check of the cylinder, a ratch-wheel connexion is placed between the cylinder and the train of wheel work; this enables the pendulum to run on until it gradually comes to rest. The pendulum, which weighs about 18 ℔, is compensated, and makes one revolution in two seconds; it is suspended from a bracket by means of two flexible steel springs placed at right angles to one another.

The observatory of Washburn, University of Wisconsin, is furnished with a chronograph of the same type as that of Dent (Annals Harvard Coll. Obs.vol. i. pt. ii. p. 34), but in this instrument the rotation of the cylinder is controlled by a double conical pendulum governor of peculiar construction. When the balls fly out beyond a certain point, one of them engages with a hook attached to a brass cylinder which embraces the vertical axle loosely. When this mass is pulled aside the work done on it diminishes the speed of the governor. The pendulum ball usually strikes the hook from 60 to 70 times per minute. Governors on this principle were adopted by Alvan Clark for driving heliostats in the United States Transit of Venus Expedition, 1874.

In the astronomical chronograph designed by Sir Howard Grubb (Proc. Inst. Mech. Eng., July 1888), the recording cylinders—two in number—are driven by a weight acting on a train of wheel work controlled by an astronomical telescope governor.Grubb.The peculiar feature of this instrument is that the axle is geared to a shaft which communicates motion to the cylinders through a mechanism whereby the speed of rotation is constantly corrected by a standard clock. Should the rotation fall below the correct speed it is automatically accelerated, and if its speed of rotation rises above the correct one it is retarded. The accelerator and retarder are thrown into action by electromagnets, controlled by a “detector” mounted on the same shaft. The rather complicated mechanism employed to effect the correction is described and fully illustrated in the reference given. The cylinders are covered with paper, but all the markings are made with a stylographic pen. The marks indicating seconds are dots, but those made by the observer are short lines. When an observation is about to be made the observer first notes the hour and minute, and, by pressing a contact key attached to a flexible cord at the transit instrument, marks the paper with a letter in Morse telegraph characters, indicating the hour and minute; he then waits till a micrometer wire cuts a star and at the instant closes the circuit, so that the second and fraction of a second are registered on the chronograph paper. When a set of observations have been taken, the paper is removed from the cylinder, and the same results are obtained by applying a suitably divided rule to the marked paper, fractions of a second being estimated by applying a piece of glass ruled with eleven straight lines converging to a point. The ends of these lines on the base of the triangle so formed are equidistant on one edge of the glass, so that when the first and last lines are so placed as to coincide with the beginning and end of the markings of a second, that second is divided into ten equal parts. The base of the triangle is always kept parallel with the line of dots. The papers, after they have been examined and the results registered, are kept for reference.

In the astronomical chronograph of Hipp, used in determining longitudes, the movement of a recording cylinder is regulated byHipp.means of a toothed wheel, the last of a clockwork train, controlled by a vibrating metal tongue; this important feature is described in detail in Favarger’s work cited above.

Acoustic Chronographs.—In the chronograph devised by H.V. Regnault (Acad. des Sc., 1868) to determine the velocity of sound propagated through a great length of pipe, a band of paper 27 mm. wide was continuously unrolled from a bobbin by means of an electromagnetic engine. In its passage over aRegnault.pulley it passed over a smoky lamp flame, which covered it with a thin deposit of carbon. It next passed over a cylinder in contact with the style of a tuning-fork kept in vibration by electromagnets placed on either side of its prongs, the current being interrupted by the fork; it was also in contact with an electric signal controlled by a standard clock. Also an electromagnetic signal marked the beginning and end of a time period. Thus three markings were registered on the band, viz. the time of the pendulum, the vibrations of the fork, and the marking of the signal due to the opening andclosing of the current by electrical contacts attached to diaphragms on which the sound wave acted. The contacts consisted of minute hammers resting on metal points fixed to the centre of diaphragms which closed the end of the experimental pipes. The signal marked the instant at which a sound wave impinged on a diaphragm. The markings on the paper band gave the period of time between two events, and the number of vibrations of the tuning-fork per second was estimated by means of markings due to the clock. The sound wave was usually originated by firing a pistol into the pipe furnished with diaphragms and contact pieces.

In the chronographic use of the Morse telegraph instrument (Stewart and Gee,Elementary Practical Phys.p. 234) a circuit is arranged which includes a seconds’ pendulum furnished with a fine platinum wire below the bob, which sweepsAyrton and Perry.through a small mass of mercury forming a part of the circuit. There is a Morse key for closing the circuit. A fast-running Morse instrument and a battery are placed across this circuit as a shunt. A succession of dots is made on the paper ribbon by the circuit being closed by the pendulum, and the space between each adjacent dot indicates a period of one second’s duration. Also, when the key is depressed, a mark is made on the paper. To measure a period of time, the key is depressed at the beginning and end of the period, causing two dots to be made on the ribbon; the interval between these, when measured by the intervals due to the pendulum, gives the length of the period in seconds, and also in fractions of a second, when the seconds’ interval is subdivided into convenient equal parts. This apparatus has been used in determination of the velocity of sound. In the break circuit arrangement of pendulum key and Morse instrument the markings appear as breaks in a line which would otherwise be continuous. This combination was employed by Professors W.E. Ayrton and J. Perry in their determination of the acceleration of gravity at Tokio, 1877-1878 (Proc. Phys. Soc. Lond.3, p. 268).

In the tuning-fork electro-chronograph attributed to Hipp a metal cylinder covered with smoked glazed paper is rotated uniformly by clockwork, a tuning-fork armed with a metallic style being so adjusted that it makes a clear fine line on theHipp.smoked paper. The tuning-fork is placed in the secondary circuit of an induction coil, so that when the primary circuit is broken an induced spark removes a speck of black from the paper and leaves a mark. The time period is deduced by counting the number of vibrations and fractions of vibration of the tuning-fork as recorded by a sinuous line on the cylinder. In later forms of this instrument the cylinder advances as it rotates, and a spiral line is traced. To obtain good results the spark must be very small, for when large it often leaps laterally from the end of the style, and does not give the true position of the style when the circuit is broken. The same arrangement of tuning-fork and revolving cylinder, with the addition of a standard clock, has been used by A.M. Mayer (Trans.Mayer.Nat. Acad. Sci. U.S.A.vol. iii.) and others for calibrating tuning-forks, and comparing their vibrations directly with the beats of the pendulum of a standard clock the rate of which is known. The pendulum marks and breaks the primary circuit by carrying a small platinum wire through a small mercury meniscus. Better and apparently certain contacts can be obtained from platinum contact-pieces, brought together above the pendulum by means of a toothed wheel on the scape-wheel arbor. Sparking at the contact points is greatly reduced by placing a couple of lead plates in dilute sulphuric acid as a shunt across the battery circuit.

For Physiological Purposes.—A. Fick’s pendulum myograph or muscle-trace recorder is described inVierteljahrsschr. der naturforsch. Ges. in Zürich, 1862, S. 307, and inText-book of Physiology, M. Foster, pp. 42, 45. It was used to obtain a recordFick.of the contraction of a muscle when stimulated. In many respects the instrument is similar to the electro-ballistic chronograph of Navez. A long pendulum, consisting of a braced metal frame, carries at its lower end a sheet of smoked glass. The pendulum swings about an axis supported by a wall bracket. Previous to an experiment, the pendulum is held on one side of its lowest position by a spring catch; when this is depressed it is free to swing. At the end of its swing it engages with another spring catch. In front of the moving glass plate a tuning-fork is fixed, also a lever actuated by the muscle to be electrically stimulated. When the pendulum swings through its arc, it knocks over the contact key in the primary circuit of an induction coil, the secondary of which is in connexion with the muscle. The smoked plate receives the traces of the style of the tuning-fork and of the lever attached to the muscle, and also the trace of an electromagnetic signal which marks the instant at which the primary circuit is broken. After the traces are made, they are ruled through with radial lines, cutting the three traces, and the time intervals between different parts of the muscle curve are measured in terms of the period of vibration of the tuning-fork, as in other chronographs in which the tuning-fork is employed.

In the spring myograph of E. Du Bois Reymond (Munk’sPhysiologie des Menschen, p. 398) a smoked glass plate attached to a metal rod is shot by a spiral spring along two guides with aDu Bois Reymond.velocity which is not uniform. The traces of a style moved by the muscle under examination, and of a tuning-fork, are recorded on the glass plate, the shooter during its traverse knocking over one or more electric keys, which break the primary circuit of an induction coil, the induced current stimulating the muscle.

In the photo-electric chronograph devised by G.J. Burch, F.R.S. (Journ. of Physiology, 18, p. 125;Electrician, 37, p.436), the rapid movements of the column of mercury in a capillary electrometer used in physiological research are recorded on a sensitiveBurch.plate moving at a uniform angular velocity. The trace of the vibrating prongs of a tuning-fork of known period is also recorded on the plate, the light used being that of the electric arc. The images of the meniscus of the mercury column and of the moving fork are focused on the plate by a lens. Excellent results have been obtained with this instrument.

An important development of a branch of chronography is due to E.J. Marey (Comptes rendus, 7. août 1882, andLe Mouvement, par E.J. Marey, Paris, 1894), who employed a photographic plate for receiving successive pictures of moving objects,Marey.at definite times, when investigating the movements of animals, birds, fishes, insects, and also microscopic objects such as vorticellae. The instrument in one of its forms consisted of a camera and lens. In front of the sensitive plate and close to it a disk, pierced with radial slits, revolved at a given angular velocity, and each time a slit passed by the plate was exposed. But since, in the time of passage of the space between the slits, the object had moved by a certain amount across the field of view, a fresh impression was produced at each exposure. The object, well illuminated by sunlight, moved in front of a black background. Since the angular velocity of the disk was known, and the number of slits, the time between the successive positions of the object was also known.

Marey (La Méthode graphique, pp. 133, 142, 456), by means of pneumatic signals and a rotating cylinder covered with smoked glazed paper, measured the time of the movements of the limbs of animals. The instrument consists of a recording cylinder rotated at a uniform angular velocity by clockwork controlled by a fan governor, and pneumatic signal, constructed thus. One end of a closed shallow cylinder, about 4 cm. dia., is furnished with a stretched rubber membrane. A light lever, moving about an axis near the edge of the cylinder, is attached to the centre of the membrane by a short rod, its free end moving as the membrane is distended. The cylinder is connected by a flexible tube with a similar cylinder and membrane, but without a lever, which is attached to that part of the body of the animal the movement of which is under investigation. The system is full of air, so that when the membrane attached to the animal is compressed, the membrane which moves the lever is distended and the lever moved. Its end, which carries a scribing point, marks the smoked paper on the rotating cylinder. The pneumatic signal is called by Marey “tambour à levier.”

References to Chronographic Methods:—(1) Chronographs used in Physiology: Helmholtz, “On Methods of measuring very small Portions of Time,”Phil. Mag.(1853), 6; Id.,Verhandlungen der physikalisch-medicinischen Gesellschaft in Würzburg(1872); Harless, “Das Attwood’sche Myographion,”Abhandlungen der k. bayerischen Akademie der Wissenschaften(1862); Id.,Fall-Myographion aufgestellt in der Wiener Weltausstellung in der Abteilung für das Unterrichtswesen von Ungarn(Budapest, 1873); Hensen, “Myographion mit vibratorischer Bewegung,”Arbeiten aus dem Kieler physiol. Instit.(1868); Brücke,Sitzungsber. d Wien. Acad.(1877); Pflüger, “Myographion ohne Bewegung,”Untersuchungen über die Physiologie des Electrotonus(1859); Pouillet,Compt. rend.(1844); I. Munk,Physiologie des Menschen(for Pflüger’s cylinder governed by conical pendulum); J.G. M’Kendrick,Life in Motion(1892) (for early form of cylinder chronograph by Thomas Young); Stirling,Outlines of Practical Physiology(for reaction-time chronographs of F. Galton and Exner). (2) Chronographs used in gun work and for other purposes: Sabine,Phil. Mag.(1876); Moisson,Notice sur la chronographie système Schultz(Paris, 1875); Paul la Cour,La Roue phonique(Copenhagen, 1878); Mach, “Collected Papers on Chronographs,”Nature, 42, p. 250; C.V. Boys, “Bullets photographed in Flight,”Nature, 47, p. 415; Pneumatic Tube Co., Paris, “Chronograph,”Nature, 9, p. 105; G.C. Foster, “Laboratory Chronograph,”Nature, 13, p. 139; E.S. Holden, “Astronomical Chronograph,”Nature, 26, p. 368; D’Arsonval,La Lumière électrique(1887); Dunn, “The Photo-retardograph,”Journal United States Artillery, 8, p. 29; E.J. Marey,La Méthode graphique(for Deprez accélérographe); Werner Siemens, “Electric Spark Chronograph,”Wied. Ann.(1845), 66.


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