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, 

 may be most accurately and speedily 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. 

 torn off] ; RARE, 15s Richard Mount, 1692 



One of the earliest works on the sliding rule a subject curiously neglected in Cantor's Vorlesungen ilb. Gesch. d. Mathe- 

 m r .i.tll;. 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. 



1299(5 PASCAL (Blaise) GEuvRES COMPLETES [avec sa VIE par MME.PERIER (GILBERTS PASCAL)] ; 

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



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



12997 : TRAITE du TRIANGLE ARITHMETIQTJE, avec quelques autres Petits Traitez sur la 



mesme Matiere, par MONSIEUR PASCAL, premiere edition ; with folding plate of the triangle, 

 4 to. contemporary limp vellum (some II. browned as usual, otherwise a LARGE AND FINE COPY), 

 with AUTOS. ofJ. J. DORTOUS BE MAIRAN (1678-1771) on title, and of PIERRE PREVOST on flyleaf, 

 also woodcut bookplate of GABRIEL CRAMER, F.R.S. (1704-52) ; very rare, 3. 15* 



Guillaume Desprez, 1665 



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

 of probabilities, and also of importance in connexion with the method of indivisibles, the forerunner of the calculus. It 

 comprises the following treatises : Traite du Triangle Arithmetique : 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 Jolieurs 

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

 Xumeriques : De Numericis Ordinibus Tractatus : De Nurnerorum Continuorum Productis : Numericarum Potestatum 

 Generalis Resolutio : Combinationes : Potestatum Nuiiiericarum Summa : De Numeris Multiplicibus, ex sola Caracterum 

 Xumericorum Additione agnoscendis. 



'Le traite Potestatum numericarumsumma contient la solution generale et complete de la question si capitale, dans la 

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

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



12998 PASCAL (Ernesto, Univ. Pavia) REPERTORIO di MATEMATICHE SUPERIORI (Definizioni, 

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

 of Dr. Emil Reich, 8s Qd Milano, 1898-1900 



A standard work of well-known excellence. 



12999 PASCOLI (Leone, hie Lione) II TEVERE NAVIGATO, e NAVIGABILE, in cui si prova con 

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

 con tre Discorsi : Due delle CAUSE delle di lui INNONDAZIONI, e dei Rimedj loro ; e 1'altro de' 

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



' Raro. Un giudizio di quest' opera si ha nelle Nov. Lett, di Firenze, 1741.' Riccardi. 



13000 [PA SI [6 PAXI] (Anton Bartolomeo di, da Venezia)] TARIFFA de PESI e MESURE, 

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

 water-stained, and back of binding damaged, otherwise a FINE AND VLRY LARGE COPY) ; very 

 rare, 4. 145 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'l557, and of extreme rarity. Riccardi, who gives a 



wrong collation, only quotes one copy, that in 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 contenuti in questa operetta fra i pesi einisure dei diversi paesi, essa puo classih'carsi fra le tavole di 



ragguaglio d'aritmetica pratica, di maggior interesse per la storia del commercio.' Riccardi. 



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 without 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. R. 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), with author's inscr. in v. II, 5s 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), 6s 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. V. 



13004 RULES, chiefly deduced from Experiment, for Conducting the PRACTICAL OPERATIONS 



of a SlEGE, with numerous woodcuts, 2 vols. 8vo. unbound (scarce), 8s 6d 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.' Cut. Vetch, R.E. 



13005 PASSOT (Felix) TURBINE PASSOT, NOUVELLE ROUE HYDRAULIQUE approuvee par 1' Academic 

 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), l'2s 6d 1839 



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

 peut rejeter le f.uide avec une vitesse presque nulle, et sans qu'il y ait de perte sensible de force vive dans I'interieur ' 

 ifi. G. 



