1IKXUY SOT1IKK.AN & CO., UO, STKAXI), \V.C, AND 37, PICCADILLY, W. 347 



6769 [CASTELLI (Carlo)] THOMBA NAPOLEONE, o sia NUOVA MAOCHINA. IDRAULICA, destinata 

 al vario Sollevamento dell' Acqua ; with folding copperplate, 8vo. (pp. 72), sewn, 6s Qd Milano, 1808 



Dedicated to Eugene Napoleon, Viceroy of Italy. 



6770 CATANEO (Girolamo, Novarese) OPERA del MISURARE, Libri II, nel prinio s'insegna a 

 Misurar, et Partir' i Campi . . . Nel Secondo ;i Misurar le MuragUe, Imbottar Grani, Vini, Fieni, 

 e Strami ; col Livellar 1'Acque, ed altre Cose necessirie a gli Agrimensori ; with numerous 

 diagrams, sm. 4to. boards (some wormholes], 12s 6d Brescia, 1608 



The second and enlarged edition of a rare work which was unknown to Brunei, who quotes the first of 1572 on the 

 authority of Hayin. The above bears on title the auto. Pandolfi- probably Giangiacomo Pandolfi, painter (Cent. XVII.). 



6771 CATANI [o CATANEO] (Pietro de, da Siena) Le PRATICHE delle DUE PRIME MATHE- 

 MATICHE : Libro d' Albaco e Geometria, nuovamente statnpate ; printed in italics, with diagrams, 

 sm. 4to. boards (LARGE AND FINE COPY) ; RARE, 1. 10? Venetia, per Niccolo Bascarini, 1546 



'Rarissimo libro, oinessa dal Brunei ; uno dei piti. interessanti trattati d'aritmetica del secolo XVI '.RiceartU. 



6772 . NUOVA EDIZIONE [rifatta], con il Pratico e vero Modo di MISURAR la TERRA; with 



diagrams, sm. 4to. sewn (title soiled, and a few II. stained or slightly wormed), 17s Qd 



ibidem, Giov. Griffio, 1559 

 6773 ANOTHER COPY, boards (LARGE COPY), 1. Is 



'Edizipne pure rara e pregiata. E notevole come nel trattatello di geometria pratica, benche affatto elementare, 

 determini esattamente 1'area del triangolo in funzione dei lati.' Riccardi. 



1 A valuable work, containing some Algebraic matter and a problem (tre mariti gelosi con le lor mogli per passare un 

 flume, etc.) which is the original of the celebrated problem of the Fox, the Goose, and the Barley. Leonardo Pisano is 

 quoted at the very beginning by the author, who designates as Indian the numerical figures commonly termed Arabic.' 

 Libri Catalogue. There was no copy of the lolG edition in the Libri Library, while the work was quite unknown to 

 Poggendorff, Montucla, Prof, de Morgan, etc. 



6774 CAUCHY (Aug-ustin Louis; F.R.S.) COURS d'ANALYSE, de 1'Ecole Royale Polytechnique, 

 IRK PARTIE [seule parue] : ANALYSE ALGEBRIQUE, 8vo. hf. calf, with bookplate of Prof. H, W. 

 LI. Tanner, F.R.S. , 6s 1821 



6775 MEMOIRE sur la THEORIE des NOMBRES ; presente a 1' Academic des Sciences le 31 Mai 



1830, 4to. (pp. 520), sewn, 10s Qd 1830 



6776 - , et 1'Abbe Franqois Napoleon Marie MOIG-NO : LECONS de CALCUL DIFFERENTIEL 

 et de CALCUL INTEGRAL, Tomes I et II, l c Partie [tout paru] ; with 2 plates, 2 thick vols. 8vo. 

 calf gilt (SCARCE), 1. 1840-4 



'A work of great merit. Had it been studied more diligently by writers of text-books in England anl the United 



States, many a lax and loose method of analysis hardly as yet eradicated from elementary text-books would have been dis- 

 carded over half a century ago. Cauchy was the first to publish a rigorous proof of Taylor's theorem. He greatly improved 

 the exposition of fundamental principles of the differential calculus by his mode of considering limits and his new theory 

 on the continuity of functions.' Prof. Cajori. 



6777 CAUS (Isaac de) NEW INVENTION of WATER- WORKS, teaching how to RAISE WATER HIGHER 

 THAN THE SPRING, by which Invention the Perpetual Motion is proposed, many hard Labours 

 performed ; as also, a DESCRIPTION of CAPT. SAVORY'S [sic] ENGINE for RAISING of vast Quanti- 

 ties of WATER by FIRE, with 3 plates (2 folding, and one on copper by J. STURT) and numerous 

 woodcuts, 4to. sewn (title mounted and partly infs., and some II. browned] ; very rare, 3. 10s 



J. Moxon, 1704 

 This work has now become EXCESSIVELY BARS, and is especially interesting for the full description of S.VVERY'S THIRD 



ENGINE ' for raising water by fire ', ajid the fine folding plate by J. Sturt illustrating it. 



De Caus's work was first published in the English translation by JOHN LKAK in 1659 (v. No. 729 ante), and seems to have 



been unknown to MR. DTRCKS, who does not mention it in his Perpetuum Mobile. 



6778 CAUTLEY (Col. Sir Proby Thomas; constructor of the Ganges Canal; F.R.S.) NOTES and 

 MEMORANDA on the EASTERN JUMNA, or DOAB CANAL, and on the WATER COURSES in the 

 DEYRA BOON, with numerous plates (the folding ones linen-mounted), 8vo. hf. calf gilt (title 

 stamped), 6s Roorkee, 1862 



6779 CAVALIEBI [latine CAVALEBIUS] (Bonaventura, Ord. Jesuatorum S. Hieronymi) 

 DIRECTORIUM GENERALE URANOMETRICUM, in quo TRIGONOMETRIC LOGARITHMIC^ FUNDA- 

 MENTA, ac REGUL^E demonstrantur, Astrononiicieque Supputationes ad Solam fere Vulgarem 

 Additionem reducuntur [cum TABULA TRiGONOMETRiCA- LOGARITHMICA], editio princeps; 

 with diagrams, 4to. contemporary hf. calf gilt (browned as usual, but a SOUND COPY) ; RARE, 

 1. 1* Bononicv, 1632 



Containing the author's discovery of the expression for the area of a spherical triangle in terms of the spherical excess. 

 He was also the first to introduce the use of logarithms into Italy, and the above work contains the^r.s^ logarithmic table 

 printed in that country. 



6780 TRIGONOMETRIA PLANA et SPHJERICA, Linearis et Logarithmica ; h. e. tarn per Sinuum, 



Tangentium, et Secantium Multiplicationem, ac Divisionem juxta Veteres ; quam per Logarith- 

 inorum simplicem fere Additionem juxta Recentiores ; ad Triangulorum dimetiendos Angulos, et 

 Latera procedens ; cum CANONE DUPLICI TRIGONOMETRICA, et CHILIADE NUMERORUM abso- 

 Intorum ab 1 usque ad 1000, eorumque Logarithmis, ac Differentijs ; with front, on copper, and 

 plate, Ibo.Jine copy in contemporary limp vellum, 10s ibidem, 1643 



A reprint of the above work. 



6781 - GEOMETRIA INDIVISIBILIBUS CONTINUORUM nova quadam Ratione promota; in hac 

 postrema Editioneab Erroribus expurgata ; with numerous diagrams, 4to. old calf, newly rebacked 

 (FINE AND LARGE COPY) ; RARE, 1. 10s ' ib., 1653 



The author's chief work, celebrated for elaborating his method of indivisibles, and important as one of the works that 

 led up to the invention of the differential calculus. 



' This work expounds his method of Indivisibles, which occupies an intermediate place between the method of exhaustion 

 of the Greeks and the methods of Newton and Leibnitz. He considers lines as composed of an infinite number of lines, 

 and solids as an infinite number of planes. The relative magnitude of two solids or surfaces could then be found simply 

 by the summation of series of planes or lines ... By this method Cavalieri solved the majority of the problems proposed 

 by Kepler.' J'raf. Cajori. 



