650 HENRY SOTHERAN & CO., 140, STRAND, W.C., and 43, PICCADILLY, W. 



12995 PARTRIDGE (Seth) The Description and Use of an Instrument, called the Double 

 Scale of Proportion, by which Instrument, all Questions in Arithmetick, Geometry, Trigono- 

 metry, Astronomy, Geography, Navigation, Fortification, Gunnery, Gaging Vessels, Dialling, 

 niay be most accurately and spsedily performed, without the Assistance of either Pen or Com- 

 passes, with 2 plates, large 12mo. ola sheep [title soiled and slightly damaged and corner of one I. 

 ^orw f)/) ; rare, 155 Richard Mount, \Q^'2 



One of the earliest works on the sliding rule— a subject curiously neglected in Cantor's Vodesungen. iib. Gesch. d. Mafhc- 

 ra-itik. Seemingly only Gunter's was previous to the author's in date ; but it differs however considerably from it. 

 Partridge was also the first to publish,a work on logarithms in English. 



12996 PASCAL (Blaise) CEuvres Completes [avec sa Vie par Mme. Perier (Gilp.erte Pascal)] ; 

 ivith 136 woodcuts and diagrams, 3 vols, post 8vo. hf. roan, uncut, Qs 6d 1864-5 



Vol. II i consists of Pascal's physical and mathematical writings. 



12997 — — : Traite du Triangle Arithmetique, avec quelques autres Petits Traitez sur la 

 mesme Matiere, par Monsieur Pascal, premiere edition ; with folding plate of the triangle, 

 4to. contemporary limp vellum {some II. browned as usual, otherwise a large and fine copy), 

 ifith AUTOS, of J. J. DoRTOUS D£ Mairan (1678-1771) on title, «nc?o/ Pierre Prevost on flyleaf 

 also woodcut bookplate 0/ Gabriel Cramer, f.r.s. (1704-52) ; very rare, £3. 155 



Guillaume Desprez, 1665 



■ Containing the account of Pascal's arithmetical triangle, of which he made important use by applying it to the theory 



of ]>robabilities, and also of importance in connexion with the method of indivisibles, the forerunner of the calculus. It 



comprises the following treatises :— Traite du Triangle Aritlimetique : Diverses usages du Triangle Arithmetique, dont le 



Generateur est I'Unite : Usages du Triangle Arithmetique, pour determiner les Partis qu'on doit faire entre deux Joueurs 



qui jouent en plusieurs Parties: pour trouver les Puissances des Binomes et Apotomes: Traitte des Ordres 



Nuiueriques : De Numericis Ordinibus Tractatus: De Numerorum Continuorum Productis : Numericarum Potestatum 

 Generalis Resolutio : Combiiiationes : Potestatum Nun.ericarum Summa : De Numeris Multiplicibus, ex sola Caracterum 

 Numericoium Additione agnoscendis. 



' Le traite Potestatum, numericarum snmma contient la solution generale et complete de la question si c^pitale, dans la 

 methode des indivisibles, d'exprimer la somme des puissances semblables et entieresd'une suite de nombres en progression 

 arithmttique. Le procede de Pascal n'est, du reste, pas inferieur a celui que nous employons aujourd'hui.'— M. Marie. 



12998 PASCAL (Ernesto, Univ. Pavia) Kepertorio di Matematiche Superiori (Definizioni, 

 Formole, Teoremi, Cenni Bibliografici) ; 2 vols, thick 16nio. cL, with bookplate by Gordon Browne 

 of Dr. Emit Reich , 8s 6d Milano, 1 898- 1 900 



A standard work of well-known excellence. 



12999 PASCOLI (Leone, hie Lione) 11 Tevere Navigato, e Navigabile, in cui si prova con 

 Autorita evidenti, e non sospette che ne' Tempi Pa.ssati sin da sua Scaturigine si navigava . . . 

 con tre Discorsi : Due delle Cause delle di lui Innondazioni, e dei Rimed j loro ; e I'altro de' 

 Rimedj dell' Innondazioni della Chiana, ecc, 4to. contemporary vellum, Ss f\d Roma, 1740 



' Raro. Un giudizio di quest' opera si ha nelle Aov. Lett, di Firenzf, 1741.' — Biccardi. 



13000 [P^SI [6 PAXI] (Anton Bartolcmeo di, da Vetiezia)] Tariffa de Pesi e Mesure, 

 prima edizione ; with large woodcut on title, sm. 4to. contemporary limp velhim [some II. slightly 

 ii-ater -stained, and back of binding damaged, otherwise a fine and very large COPY) ; very- 

 rare, £4. 14« Qd [in fine .] Stampado in uenesia per Albertin da lisona uercellese regnante 



linclyto principe miser Leonardo loredano, 1503 

 First edition of this work, which was reprinted in 1521, 1540, and 1557, and of extreme rarity, lliccardi, who gives a 



wrong collation, only quotes one copy, that iu the Biblioteca Marciana. There was only the edition of 1557 in the Libri 



Collection. The work was quite unknown to Prof, de Morgan. 



' Per i ragguagli couteuuti in questa operetta fra i pesi emisure dei diversi paesi, essa pu6 classiticarsi fra le tavole di 



ragguaglio d'aritmetica pratica, di maggior interesse per la storia del commQvcio.'—Ricmrdi. 



13001 PASLEY (General Sir Charles William, r.e., f.r.s.) Complete Course of Practical 

 Geometry, including Conic Sections, and Plan Drawing; treated on a Principle of peculiar 

 Perspicuity ; 2nd Edition, much enlarged, with diagrams, thick 8vo. cL, 5s 1822 



' An elaborate treatise, enabling the non-commissioned officers to teach themselves and their men Avithout the assist- 

 ance of mathematical masters, and to go through their course of geometry in the same manner as their company drills or 

 their small-arms exercises.'— CoL B. H. Vetch, R.E. 



13002 Course of Elementary Fortification, including Rules, deduced from Experiment, 



for determining the Strength of Revetments, treated on a Principle of peculiar Perspicuity ; 2nd 

 Edition, with 5 folding plates and numerous other illustrations, 2 vols. 8vo. hf. calf (one Joint 

 cracked), ivith author's inscr. in v. II, bs 1822 



'A complete treatise, including the principles of the science and rules for construction, many of which apply to civil 

 as well as military works.*— CoL Vetch, R.E. 



13003 Observations on Limes, Calcareous Cements, Mortars, Stuccos, and Concrete, 



and on PuzzoLANAS, Natural and Artificial, with Rules deduced from numerous Experiments for 

 making an Artificial Water Cement, equal to the best Natural Cements of England, 

 improperly termed Roman Cements, and Abstracts of Opinions of former Authors, with woodcuts, 

 8vo. cl., uncut {cover damaged), Qs Qd 1838 



• It contains several discoveries, the lesult of experiments at Chatham, and led at once to the manufacture in large 

 quantities of artificial cements, such as Portland, patent lithic, and blue lias.'— D. N. B. 



13004 Rules, chiefly deduced from Experiment, for Conducting the Practical Operations 



of a Siege, with numerous woodcuts, 2 vols. 8vo. unbound {scarce), 8s Qd Chatham, 1829-32 



' Still an authority, and the best text-book at the time that had been written in any language on that subject. Every 

 operation of the siege was treated as a separate study, and it exposed various mistakes into which French and German 

 authors had fallen.'— CcZ. Vetch, B.E. 



13005 PASSOT (Felix) Turbine Passot, Nouvelle Roue Hydraulique approuvee parl'Academie 

 Royale des Sciences, sur le Rapport de MM. Arago et Coriolis Rapporteur ; Exposition de son 

 Principe et de ses Proprietes ; with 2 plates, 4to. (pp. 59), sewn {very scarce). Vis 6d 1839 



The author claims to have invented a turbine on a new principle, superior to that of Benoit Fourneyron ' puisqu'il 

 pent rejeter le fluide avec une vitcsse presque nuUe, et sans qu'il y ait de perte sensible de force vive dans Tinterieur ' 



:(/. G. Cor'ujUs]. 



