HENRY SOTHERAN & CO., 140. STRAND, W.C, and 37, PICCADILLY, W. 33 



681 CAKACCIOLI (Giovanni Battista, CI eric us Reg.) De LiNEis CuRViS;ti;/<A 12 platen, sni.4t<>. 



old caff if ne copy), %uith bookplate of Philip 2nd Earl Stanhope, 5s Pi^s, 1740 



6S2 Problem ATA \'aria Mathematica, aceedit Examen Machinae Motua Perpetui; 



with \Q folding plates, folio, //jc large copy in confetnporarg white vellum, £1. l^- Florenfia', 1755 

 A VKRY BARK WORK, uiiknown to Poj-j^einlorffaiid to the anthor's bio^^i-aphcr in Uioijraphif. (l^icmle, wlio only mention, 

 on A<ieluuj4'.s authority, the anthor's ae l.intia rurcit (174'i). It U esperially int«rt»stin}: for a full description and 

 exainiiiiitionofa machine with 'i)Mp«»tual iijotiim' subaiitteil to the author— a fact not notit-etl in Direks.s 'Terpetuum 

 Mobile,' (/. r. po»t. 



683 CABDANO (Oirolamo) Opera Omnia: tain hactcnuM excuKa ; life tamen aueta ot eiuendata ; 

 quiiin nuiKiiuiin alias visa, ae priniitin ex Auctoris ipsiiis Aiito;^ni}»liis enita : cunl CAROLI Si'ONll, 

 Ml).; with Jin e etched portrait a't. ()H, 10 vols, lar^'e folio, LAR<iE Paper; conteniporan/ velhnn 

 gilt (FINE copy) ; rare, fS. 8« Lugduni, 1063 



684 Artis Magx.*:, sivedeREGULls AuJEnRAlClsLilMTumis.editioprinceps; xtut'h diagrams, 



and pen and ink portrait {added), folio, old vcllunt, (title in rough fs, and some II. water-stained) : 

 VERY RARE, £1. 10< Norinibcrga; Joh. Petrcius, 1545 



This wt>rk lirst contains •Canlun's Formula,' the well-known theon-m for wdvlny cubic equations. Although named 

 »rt4?r him, it was really invented by TartasHa («/. v. i>o»/), who contlditl it to t'anlan, on the latter's insistent solicltatlom* 

 and most solemn promises of secresy, broken in nublishin;< the work. 



• The Ar$SUi[inu is a -jreatadvanee on any algebra previously published. HithertoalKubnilsUi had coiiUnetl their attention 

 to those roots of equations which weiv iwsitivc. Canlan ilist-usswl nejjativo and even InmifinMrv r.^>».i. and i>rove<l that 

 the latter could always occur in iiairs. Mostof his analysis of cubic e(|iuitionM seems to haM- ' 1 ; he shuwed that 



If the three root* were real, Tarta^lia's solution (javo them in a form which involved iin;i Hies ... He 



establisheil the relations connecting; the rootH with the coefficients of an cqiuition, and wa.^ ........ ... Uie i)riiiciple that 



underlies DescarttMs * rule ofsi^ns ',' etc. etc.— ir. IK. R. Hal!, 



683 



— In Cl. Ptolomaei IIII <lc A.strorum Judiciis, aut, iit vul;jfo vocant, Quiuiripartitns 

 Conrttnietionis liWrosCoMMENTARiA ; ejus(leiiiGEN'ITURARU.M jul hanc scientiaiii rwU'* exeivon<lam 

 oljsen-atu utilia E.XEMPLA ; with diagrams, 12mo. sound copg in old calf, with bookplate of F. lUouet 

 de Camilly, Up. and Count of 2'ulle, lbs Lugduni, 1555 



686 Practica ARiTiiMETic.K.et Mex.suraxi)I Sinoularis, ill quaqua> pnfteraliaedtiiieiitur, 



versa im<;iiia (leiiioiistraUit ; editio princeps ; with woodcut portrait on title, and numerous 

 diagrams, \2ino.fne copy in old Frewh calf gilt (VERV R.VRK), £2. 2* Mcdiolani, 1530 



'C'Htto tHlition est rare.'- I'.rtnut. 'A work of ;,'real merit for the tinn*, which indirectly lc<l to his nnown a."* a 

 mathematician, by engaging him in a corrcsi)ondence with Tartajjlia.' 



(is7 De Rerum Varietate Libri XVII, a prima editioiic ab ipsM) deiiuo autliore recogniti, ac 



plurilniK lo<'is l(K'upletati, infinitisque ineiulis rejmrj,'ati ; aecessit Index ainplissiimiH; with plates, 

 and numerous woodcuts and diagrams, thick 12in«). old vellum (52 II. in neatly written MS., a 

 number of II. boater- stained, and a few mended), \2s ijd Avinione, 1558 



Second edition, preferred to the lirst of 1.m7. It forms a se<|uel tot/'- Subtilitatr, and, together with it, contains the 

 author's notions on physics and metaphysics. ' The chief interest of the work consists in the hints and jrli'np.Hes It aflbnls 

 of principles beyond the full comprehension of the writer him.self. The inoncanic realm of Nature lie asserts to b«» 

 animated no les.s than the organic. The indelinitc variability of siiecies is implied,' et^.-. etc. etc.— £•)«•»/. iSrit. 



688 De SUUTILITATE Libri XXI. A<1 illustiiss. Princii)eni Fcrraiiduni (ionzaj^^am, Medio- 



lanensis prouinciiu Pra'fectuin, editio princeps; with portrait on reverse of title, and numerous 

 other woodcuts, folio, old red vellum {title and some II. stained, but a large copy) ; very rare, 

 £5. 58 Norimbergir, Joh. Petreius, 1550 



PiBsr Edition of the author's most celebrated work, and of (iRiCAT rakitv. It is printe<l in a large Roman ty|>e, and 

 nsiats of 17 preliminary 11., and 371 numbered pp. Among other important physical investigations, it contains'tbe lirst 

 description of a flour-sifting machine, and mentions the sifting property of undulating air -a fact only rediscovenyl and 



made use of within recent times by F. U. Winkler. 



689 Reprint of the above Editios, printetl in small tyoc in italics, with numerous wood- 

 cuts and diagrams, 8vo. old vellum {slightly water-stained, and back of binding damaged), £1. 5» 



Parisiis, M. Dupuys, 1551 



690 Editio Secunda, nunc deuuini reco^jnitaatque perfecta ; with fine portrait on reverse of title 



{different from that in the first edition), and numerous other woodcuts and diagrams, folio, old 

 Italian white vellum extra {title slightly mended, otherwise a VERY FINE COPV), with contemporary 

 MS. notes (VERV rare), £2. 10.v Basilea; 1554 



Second Orioisai. Edition, greatly enlarged and wholly rewritten. It is beautifully printed in a large Rtmiau tyj)«», 

 and contains for the first time the celcbrat^-u proi>osition : Initur his arbitrio vidoria: rtliciU, whiuli cau-te*! his accuaa- 

 tion of heresy, and was left out in the third original eilitioii of ir>00. 



691 Reprint of the above Edition, with woodcuts, thick 8vo. old vellum, £1. 1« Lugduni, 1554 



692 Editio Altera, ab '\\m\ authoris recognitione, nunc deiiium emaculatiores et Ion«;e per- 



fectiores re<ldiU [cum INDICE locupletisftinio] ; with numerous woodcuts and diagrams, thick 12ino. 



old limp vellum, IS* %d ibidem, 1580 



' Ia^ lU Subtilitate, ainsi quo le de Iterut^ VaridiiU, renfenno toutcs le4 connaissances do Canlan en physiciue, en meta- 

 I'hysique et en histoire naturelle. . . L'auteur traiteUnis les sujets, et fait de son ouvroReune sorte d enc^'clopAlle de la 

 science ot de I'industric au XVI" siccle ; encyclopj«lie qui iwrt offrir dc curicux renscignements.'— L*(<»yr. (kn. Hiu life by 

 Prof. Henry 3Iorley is well known. 



(.03 : A RiOGRAPHICAL Studv, 1501-76, by W. (J. WATERS, 8vo. cl, 5*6rf (p. 10s 6rf) 1898 



1 1>4 GABGILL (Thoma«) The STRAINS on Bridge Girders and Roof Trusses, includini,' the 

 Warren, Lattice, Trellis, Bowstring, and other Foniw of Girder, etc. etc., 64 woodcuts, 8vo. cl. {out 

 of print) , OS 6d (p. I2s 6d) 1 873 



005 GABLL (Lewis Buflfett) Treatise on the Calculus of Variations, pre»enting in all 

 important particulars a Complete View of the present State of the Science, 8vo. cl. (scarce), 

 £l.2s 6d New York, ISSl 



696 Enc.lish Edition [Reprint on larger paper], large 8vo. cl., £1. 5* 1883 



The most comprehensive and l»e8t account of the subject in English. Both editions arc now out of print and scarce. 



