^8 HEKHY SOTHERAN & CO., 140, STRAND, W.C, AKt. 37, PICCADILLY, W. 



732 CATANI (Pietro de) Le Pratiche delle Due Prime Mathematiche : Libio d' Albaco e 

 Geometria, miovamente stampate; with diagrams, 4to. old vellum {back damaged), £1. lOs 



Venetia, 1546 



^'ERY rare; quite unknown to Prof, de Morgan, Poggendorft', ^Moiitucla, etc. 'Rarissiiiio libro. . . . Uno dei pii'i 

 iiiteressaiitl trattati d'arithmetica del secolo XVI '.—Rkcardi. 



733 CAVALIERI [latine CA VALERIUS] (Bonaventura, Ord. Jesuatorum S. Hieronymi) 

 Directorium Generale Uranometricum, in quo Trigonometric: Logarithmic.e Funda- 

 MENTA, ac Regul.e demonstraiitur, AstionomicTque Suppntationes ad Solani ferfe Vnlgarem 

 Additionem reducuntur [cum TABULA Trigonometrica-Logarithmica], editio princeps, 4to. 

 reZ/?;?>?, (RARE), £1. 5s Bononia>,\Q^2 



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

 He was also the first to introduce the use of logarithms into Italy, and the above work (which was reprinted in 1643 with 

 the title ' Trigonometria plana ') was the first on logarithms printed in that country. 



734 ExERCiTATiONES Geometric.e VI, editio princeps; with woodcuts and diagrams, 4to. 



large and fine copy in old parchment (RARE), £1. 5* ibidem, 1647 



Containing the earliest demonstration of the theorems of Pappus, and the first determination of focal distances of glass 

 lenses. The third theory contains a defence of tlie author's theory of indivisibles against Guldin. 



735 Geo:metria Indivisibilibus Continuorum nova quadam Katioiie piomota ; ivith 



numerous diagrams, 4to. contemporary Italian red morocco gilt [top of back damaged) ^ gilt 

 gauffered edge's (rare), £1. 15* ibidem, 1653 



The author's principal work, celebrated for elaborating his method of indivisibles. * In his early enunciation of the 

 principle in 1635 Cavalieri asserted that a line was made up of an infinite number of points (each without magnitude), 

 a surface of an infinite number of lines (each without breadth), and a volume of an infinite number of surfaces (each 

 without thickness). To meet the objections of Guldinus ami others, the statement was recast, and in its final form as 

 used by the mathematicians of the XVII. Century it was published in his ExercUatlones Geonvtrico; in 1047 [?. v. supra] '. 

 — W. JV. R. Ball. 



736 Sfeea Astronomica, con I'LTso della Figura, e Pratticlie di essa, cavate da i MSS. dell' 



Autoie da L^RBANO d'Aviso, con Vita, altri Problemi e Riflessioni Filosofiche, e Pratticlie 

 curiose ; icith numerous woodcuts and diagrams, 16nio. old vellum {partly water-stained), 

 105 Roma, 1690 



This work was unknown to Moutucla and Poggendorff. It contains the solution of a number of physical problems. 



737 , Elogio di, da Gabrio Piola, con Note, Postille Mateniatiche, ec. ; with fine front, of 



statue, fs. letter, and plate. 4to. sewn, 5s Milano, 1844 



738 CAVALLO (Tiberius, f.r.s.) Complete Treatise on Electricity, in Theory and Practice ; 

 with original Experiments, 2nd Ed., -svith considerable additions and alterations, and APPENDIX 

 [pp. 51], with A folding copperplates, 8vo. nice copy in contemporary tree-calf gilt, \os 1782 



The copperplates were first issued in this edition. The last part of the work (pp. 3.57-444) and the Appendix contain 

 the author's original investigations and inventions, including that of an electrophorus which, with motliti cations, is used 

 at the present thiie, ' electrometers for the rain, the pocket, and that used with the kite', etc. etc. 



739 Vollstandige Abhandlung der theoretischen und praktischen Lelire von <ler Elek- 



tricitat, nel)st eignen Versuchen, iibersetzt [von J. S. T. Gehler], 2. voni Ubersetzer 

 vernielirte Auflage ; ivith ^folding plates, 8vo. original boards, Qs Qd Leipzig, 1783 



Tlie fourth plate of this translation is ditt'erent from tliat in the English original. 



740 Treatise on Magnetism, in Theory and Practice, -with Original Experiments, 2nd Ed., 



with Supplement (i)p. 76), icith 6 folding jjlates by Basire, 8vo. contemporary calf, 105 6(7 1795 



' Cavallo was the inventor of several philosophical instruments and ])ieces of apparatus for electrical and chemical 

 experiments. Much ingenuity was shown in their construction, all his instruments for the measurement of tlie quantity 

 and force of electricity being remarkable for their extreme delicacy and correctness.'— iJ. Hunt, F.R.S. They are shown 

 in the plates of the above works. 



At end is an interesting list of philosophical instruments, with prices (pp. 16). 



741 CAVENDISH (Hon. Henry, f.r.s.) Electrical Kesearches, written l)et\veen 1771 and 

 1781, ed. from the Original MSS. l»y James Clerk Maxwell, f.r.s., ivith numerous woodcuts 

 and diagrams, andfss., thick 8vo. cL, Ss (p. 18.v) Cambridge, 1879 



The only collected edition of the autliors writings on electricity, comprising 'An Attempt to explain sonte of the 

 Principal Phtpnomena of Electricity, by means of an JJla.stic Fluid' (1771) ; 'Account of .some Attempts to Imitate 

 the Effects of the Torpedo by Electricity' (7(3), etc. etc., and a very copious and interesting Introduction, as well an 

 numerous Notes by the Editor. 



742 -, The Life of, indnding Ahstracts of his more important Scientific Papers, and critical 



Inqniry into the Clahns of the alleged Discoveries of the COMPOSITION of Water, by George 

 Wilson, m.d., portrait and ivoodcuts, 8vo. cl., Is Qd Cavendish ^oc, 1851 



743 Another Copy, ivith inscr. 'Robert Irvine Esq. ivith kindest regards from Georqe 



Wilson. October 1. 1858 ', cl., Ss ^d 



• ' Wilson fully established the priority of Cavendish with regard to the experimental results on Avhich the theory of the 

 composition of water is based, and showed that Muirhead and Lord Jeffrey had overestimated Watt's merits,'— 7>. N. B. 



744 CAVENTOU (Jean Baptiste) Nouvelle Nomenclature Chimique, d'apres la Classification 

 achjptee par M. Thenard, 2^ ed., angment^e, 8vo. contemporary hf red calf extra, 5s Qd 1825 



745 CAYLEY (Arthur, f.r.s.) Collected Mathematical Papers, with 3 fine photogravure 

 2)or traits {on India paper), ivoodcuts, and diagrams, 13 v., with Index— 14 vols. 4to. hf parch- 

 ment, uncut {fine set), £11. (p. £16. 12.s M) 1889-98 



' Cayley contributed t<i nearly every subject in the range of pure mathematics, and some of its branches owe their 

 oiigin to him. Conspicuously among these may be cited the theory of invariants and covariants ; the general establish- 

 ment of hypergeometry on broad foundations, and specially the introduction of 'the absolute' into the discu.ssion of 

 metrical ])roperties ; the profound development of branches of algebra, which first wero explained in a memoir on 

 matrices ; contributions to the theory of groups of operations ; and advances in the theory of the solution of the 

 quintic equation. No less important were his contributions to the theory of analytical geometry, alike in regard to 

 curves and to surfaces. . . . His services in the region of theoretical astronomy were of substantial importance,' 

 etc. etc. etc.— Pro/. A. R. Forsyth. 



746 CHALMERS (James B., c.e.) Graphical Determination of Forces in Engineering 

 Structures, over 250 diagrams, large 8vo. cL, lOs Qd (p. £1. 45) ' 1881 



