38 HENRY SOTHERAN & CO., 140, STRAND, W.C., AND 37, PICCADILLY, W. 



732 CATANI (Pietro de) Le PRATICHE delle DUE PRIME MATHEMATICHE : Libro d' Albaco e 

 Geometria, nuovamente stampate; with diagrams, 4to. old vellum (back damaged), 1. 10* 



Venetia, 1546 



VERY RARE; quite unknown to Prof, de Morgan, PoggendorlT, Montucla, etc. 'Rarissimo libro. . . . Uno dei pin 

 interessanti trattati d'arithmetica del secolo XVI '. RlccanU. 



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

 DIRECTORIUM GENERALE UBANOMBTRICUM, in quo TRIGONOMETRLE LOGARITHMIC^ FUNDA- 

 MENTA, ac KEGULJE demonstrantur, Astronomic&qae Snppntationes ad Sol am ferk Vulgarem 

 Additionem reducuntur [cum TABULA TRIGOXOMETRICA-LOGARITHMICA], editio princeps, 4to. 

 vellum (RARE), 1. 5s Bononuc, 163*2 



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 (which was reprinted in 1(543 with 

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



734 EXERCITATIONES GEOMETRIC.*: VI, editio princeps; with woodcuts and diagrams, 4to. 



large and fine copy in old parchment (RARE), 1. 5s 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 the author's theory of indivisibles against Guldin. 



735 GEOMETRIA INDIVISIBILIBUS CONTINUORUM nova quadam Ratione promota ; with 



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

 gauffered edges (RARE),-1. 15s 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 and others, the statement was recast, and in its final form as 

 used by the mathematicians of the XVII. Century it was published in his Exereitationet Geom'trica; in 1647 [q. v. supra'] '. 



736 SFERA ASTRONOMICA, con 1'Usp della Figura, e Prattiche di essa, cavate da i MSS. dell' 



Autore da URBANO D'Aviso, con Vita, altri Problem! e Riflessioni Filosofiche, e Prattiche 

 curiose ; ivith numerous woodcuts and diagrams, 16mo. old vellum (partly water-stained), 

 105 Roma, 1690 



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



737 , ELOGIO di, da GABRIO PIOLA, con Note, Postille Matematicbe, ec. ; with fine front, of 



statue, fs. letter, and plate, 4to. sewn, 5s M'dano, 1844 



738 CAVALLO (Tiberius, F.R.S.) COMPLETE TREATISE on ELECTRICITY, in THEORY and PRACTICE ; 

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

 [pp. 51], with 4 folding copperplates, 8vo. nice copy in contemporary tree-calf gilt, \5s 178'2 



The copperplates were first issued in this ( dition. The last part of the work (pp. 357-444) and the Appendix contain 

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

 at the present time, 'electrometers for the rain, the pocket, and that used with the kito', etc. etc. 



739 VOLLSTANDIGE ABHANDLUNG der theoretischen und praktischen Lehre von (ler ELEK- 



TRICITAT, nebst eignen Versuchen, iibersetzt [von J. S. T. GEHLER], 2. vom Ubersetzer 

 vermehrte Anflage ; with 4 folding plates, 8vo. original boards, Gs Qd Leipzig, 1783 



The fourth plate of this translation is different from that in the English original. 



740 TREATISE on MAGNETISM, in Theory and Practice, with Original Experiments, 2nd Ed., 



with SUPPLEMENT (pp. 76), with 6 folding plates by Basire, 8vo. contemporary calf, 10s Gd 1795 



' Cavallo was the inventor of several philosophical instruments and pieces of apparatus for electrical and chemical 

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

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

 in the plates of the above works. 



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



741 CAVENDISH (Hon. Henry, F.R.S.) ELECTRICAL RESEARCHES, written between 1771 and 

 1781, ed. from the Original MSS. by JAMES CLERK MAXWELL, F.R.S., with numerous woodcuts 

 and diagrams, andfss., thick Svo. cl., 8s (p. 18s) Cambridge, 1879 



The only collected edition of the author's writings on electricity, comprising 'An Attempt to explain some of the 

 Principal Phenomena of Electricity, by means of an Elastic Fluid' (1771) ; 'Account of some Attempts to Imitate 

 the Effects of the Torpedo by Electricity' (7(5), etc. etc., and a very copious and interesting Introduction, as well as 

 numerous Notes by the Editor. 



742 , The LIFE of, including Abstracts of his more important Scientific Papers, and critical 



Inquiry into the Claims of the alleged Discoveries of the COMPOSITION of WATER, by GEORGE 

 WILSON, M.D., portrait and woodcuts, Svo. cl., Is Qd Cavendish Soc., 1851 



743 ANOTHER COPY, with inscr. ' Robert Irvine Esq. with kindest regards from George 



Wilson. October 1. 1858 ', d., 8s Gd 



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

 composition of water is based, and showed that Muirhead and Lord Jeffrey had overestimated Watt's merits.' J). N. D. 



744 CAVENTOU (Jean Baptiste) NOUVELLE NOMENCLATURE CHIMIQUE, d'apres la Classification 

 adoptee par M. THENARD, 2 e ed., augmented, Svo. contemporary /if. red calf extra, 5s Gd 1825 



745 CAYLEY (Arthur, F.R.S.) COLLECTED MATHEMATICAL PAPERS, with 3 fine photogravure 

 portraits (on India paper], woodcuts, and diagrams, 13 v., with INDEX 14 vols. 4to. hf. parch- 

 ment, uncut (fine set), 11. (p. 16. 12.5 Gd) 1889-98 



' Cayley contributed to nearly every subject in the range of pure mathematics, and some of its branches owe their 

 origin 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 discussion of 

 metrical properties ; the profound development of branches of algebra, which lint were 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. Prof. A. R. Forsyth. 



746 CHALMERS (James B., C.E.) GRAPHICAL DETERMINATION of FORCES in Engineering- 

 Structures, over 250 diagrams, large Svo. cl., 10s Gd (p. 1. 4s) 1881 



