6 REPORT — 1873. 



"We have had occasion to make great use of this article ; and whenever De 

 Morgan's name is cited without reference to any work of his, it is always to 

 be understood that it is this article'Avhich is referred to. Other works which 

 Ave have used, but which contain information almost wholly of a bibliogra- 

 phical or historical nature, are : — 



(1) ' Historia Matheseos Universa3 a mundo condito ad seculum P. C. N. 

 XVI. . . . accedit . . . historia Arithmetices ad nostra tcmpora,' autore Jo. 

 Christoph. Heilbronner. Lipsias, . . . 1742, 1 vol. 4to. The ' Liber quartus 

 sistens Historiam Arithmetices ' is at the end of the book, and occupies 

 pp. 723-924. 



(2) ' Geschichte der Mathcmatik,' von Abraham Gotthelf Kastner. Gbt- 

 tingen. (4 vols. 8vo, 179G-1800.) It forms the seventh 'Abtheilung' of 

 the ' Geschichte der Kiinste und Wissonschaftcn ' (57 vols.). The tables are 

 contained in vol. iii. 



(3) ' Bibliotheca Mathcmatica,' auctore Frid. Guil. Aug. Murhard. Lipsise, 

 1797-1804 (also German title, ' Litteratur der mathematischcn Wissen- 

 schafteu'). 4 vols. 8vo. ' Mathematischo Tafcln' is the heading of the 

 fourth division of vol. ii., and occupies pp. 181-201 ; they are divided into 

 two classes, the first containing logarithmic and trigonometrical tables, and 

 the second the rest; works that Murhard has had in his own hands are 

 marked with an asterisk. 



(4) ' Bibliotheca Mathematica sive Criticus Librorum Mathematicorum, 

 .... commode dispositus ab J. Eoggio.' Sectio I. ' Libros Arithmetices ct 

 Geometricos complectens.' Tubingaj, .... 1830 (also with German title- 

 page). This work we have found very useful. A great number of logarithmic 

 and trigonometrical tables arc carefully described in Div. IV. ' Elementar- 

 Geometrie' (B.), pp. 367-410. It is right to add that the titles of tables 

 are to be found in all portions of the work, and are by no means restricted 

 to the arithmetical divisions. We believe that no more than the ' Sectio I.' 

 was ever published. 



The following is a continuation of Rogg : — 



(5) ' Bibliotheca Mathematica. Catalogue of Books in every branch of 

 Mathematics .... which have been published in Germany and other coun- 

 tries from the year 1830 to the middle of 1854.' Edited by L. A. Sohnke, 



. . . Avith a complete index of contents. Leipzig and London, 1854. 1 vol. 

 8vo. 



(6) ' Bibliographie Astronomique, avcc I'histoire de 1' Astronomic. , . . Par 

 Jerome De La Lande ... A Paris. ... An XI. = 1803. 1 vol. 4to. A sepa- 

 rate index to the general tables is given on pp. 960, 961. 



(7) ' Litteratur der Mathcmatik, Natur- imd GcAverbs-Kunde mit Inbegriff 

 der Kriegskunst,' , . . von J. S. Erseh. ' Xeue fortgesetztc Ausgabe,' A'on F. 

 W. Schweigger-Seidel. ' Aus der ncuen Ausgabe des Haudbuchs der Deuts- 

 chen Litteratur besonders abgedruckt.' Leipzig, 1828. 1 vol. 8vo. 



(8) ' Biographisch-literarisches Handworterbuch zur Geschichte der exactcn 

 Wissonschaftcn . . . gesammelt' von J. G. Poggendoif. Leipzig, 1803. 2 

 vols. 8vo. 



(9) 'R. p. Claudii Francisci Milliet Dechales Camberieusis e Societatc 

 Jesu Cursusseu Muiidus Mathematicus.' . . . Lugduui, 1690. 4 vols. fol. 

 The first volume opens with a ' tractatus Proemialis de progressu Mathe- 

 seos et illustribus Mathematicis ; ' and pp. 28-37 are devoted to arithmetical 

 bibliography. AVe may state that a previous edition of 1674, in 3 vols, fol., 

 does not contain the ' De progressu.' 



