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



3503 PEACOCK (George, Dean of Ely, f.r.s.) Both Treatises, ante, with Examples of the 

 Solutions of Functional Equations, by Charles Babbage, f.r.s. (pp. 42), plate— 'd vols. 8vo. 

 in 1, cl, \2s 6d Cambridge, 1820 [-20J 



' To these admirable works was mainly due the restoration of mathematical science in England by introducing the 

 differential notation and continental methods of analysis'.— ^gr^es M. Gierke. 

 See Nos. 194, 1883-4, and 23G1-2, a)ite, and Thomas Young, post. 



3504 Treatise on Algebra, first edition, with diagrams, thick Svo. hf. calf, 5s Qd ib., 1833 



3505 [Second Edition, wholly rewritten and greatly enlarged], with diagrams, 2 vols. Svo. 



hf cl., 10s 6d (p. £1. lis 6d) ibidem, 1842-5 



3506 Another Copy, 2 vols. 8vo. in 1, hf calf neat. Us 6d 



The above edition was so wholly rewritten as to amount to a different work, and is divided into Arithmetical Algebra 

 (v. I), and Symbolic Algebra, and its Applications to the Geometry of Position (v, II). 



' He was one of the flrst to study seriously the fundamental principles of algebra and to fully recognise its purely 

 symbolic character. He advances, though somewhat imperfectly, the 'principle of the permanence of equivalent forms' 

 It assumes that the rules applying to the symbols of aritJimetical algebra apply also in symbolic algebra.'— Pro/. Cajori. 



Dean Peacock was not only a great mathematician and a University reformer, but the whole-hearted restorer of Ely 

 Cathedral on Catholic lines, in conjunction with Prof. Willis, Sir Gilbert Scott as architect, and Mr. Beresford-Hope. 



3507 PEACOCK (James, f.r.s.) Descriptions of Three Simple Instruments for drawing 

 Architecture, etc. in Perspective (1785)—!;. Cavendish, post. 



3508 PEACOCK (Richard Atkinson, c.e., f.g.s.) Saturated Steam the Motive Power in 

 Volcanoes and Earthquakes; Great Importance of Electricity, 2nd Ed., improved [with 

 Supplement (pp. 60)], front., post 8vo, hf. morocco neat {stamp on title) ; scarce, 5s 1882 



3509 PEARSON (George, m.d., f.r.s.) Experiments with a View of decompounding Fixed Air, 

 or Carbonic Acid, 4to. (pp. 20), unbound (rare), 6s Qd 1792 



* Among his most important chemical papers is that on the composition of carbonic acid, an extension of the work of 

 Smithson Tennant, which led Pearson to the discovery [described in the above paper] of calcium phosphide.'— D. N. B. 



3510 PEARSON (Henry, Trinity Coll., Cantab.) Syllabus of Algebra, containing all its Principles 

 which are of any Utility in the more advanced Parts of Mathematics, Svo. boards, 2s 6d 



Cambridge, 1834 



3511 [PEARSON (James, f.r.a.s., Vicar of Fleetwood)] The Elements of the Calculus of Finite 

 Differences, treated on the Method of Separation of Symbols, 8vo. hf. cl. [very scarce), 

 10s 6d Cambridge, 1849 



3512 Elementary Treatise on the Tides, based on that of Sir J. W. Lubbock, f.r.s., with 



a newly-devised Method of Computation of the Heights of High Water at Liverpool, with 

 Factors for other Ports and Tables adopted by the Admiralty, 5 plates and map, roy.8vo. cl., 5s 1881 



3513 PEARSON (Karl; f.r.s.) The Grammar of Science, with 25 illustrations, cr. Svo. cl. {scarce), 

 5s 1892 



Comprising : Facts of Science ; Scientific Law ; Cause and EflFect ; Probability ; Space and Time ; Geometry of Motion ; 

 Matter ; Laws of Motion ; Life ; and Classification of Sciences. 



3514 PEART (Edward, m.d.) On the Elementary Principles of Nature; and the Simple Laws 

 by which they are Governed : an Attempt to demonstrate their Existence, and to explain their 

 Afode of Action, particularly in . . . Cohesion, Gravitation, Magnetism and Electricity ; and also 

 Fire, Li.fjht, and Water, Svo. hf. calf gilt (rare), £1. Is Gainsborough, 1789 



An extraordinary work, interesting for having been written at a time when chemical notions began to clarify into nioie 

 rational theories. The author, while rejecting Priestley's as well as Lavoisier's theories, tries to explain physical 

 phenomena by assuming the existence of four elements— aether, phlogiston, the acid principle, and earth. 



' The elementary principles of nature therefore are three ; two active, and one more passive or fixed. The two active 

 principles are .Ether and Phlogiston ; and each of these, by their union with the more passive principles, forms a secondary 

 or more fixed principle ; a fixed particle of matter, with an sethereal atmosphere, forms an earthly particle or principle ; 

 and with a phlogistic atmosphere, the acidifying principle.'— p. 24. 



3515 PEAT (John, Incumbent of Sevcnoaks Weald) THOUGHTS, in Verse, on a Plurality of 

 Worlds, post Svo. sewn, Is Qd 1856 



Dedicated, with permission, to Sir David Brewster. 



3516 PEATTIE (James) Steam Boilers : their Management and Working on Land and Sea, 

 illustrated, cr. Svo. hf. calf gilt {title stamj ed), 2s 1888 



3617 — ; — Second Edition, with 35 diagrams, cr. Svo. cl.,2s (p. 5*) 1892 



3518 PECHEUX (Hector) Traite theoriqne et pratique d'ELECTRiciTl^, avec Notes additionnelles de 

 J. Blondin et E. Neculcea. Preface de J. Violle ; with 789 woodcuts, roy. Svo. (pp. 739), sewn, 

 9s (p. F. 17. nett) [1904] 



3519 PECKSTON (T. S., c.E.) Theory and Practice of Gas-Lighting: containing much original 

 Matter relative to Coal-Gas, 2nd Ed., with entirely new Treatise on the Economy of the Gases, 

 procured for Illuminating Purposes, from Oil, Turf, etc., 14 plates, Svo. boards; or, hf. bound, 

 Hs ed 1823 



According to the preface the author planned and executed the gas works at Southampton, Dublin, Newport (I. W.), 

 Brentford, and Dudley. 



3520 PiJCLET (Jean Claude Eugene) Trait6 de la Chaleur : consider^e dans ses Applications : 

 4e [derniere] Edition, publide par A. Hudelo ; with 3 plates (1 coloured), and 702 woodcuts, 

 3 vols. roy. Svo. sewn, £1. (p. F. 50.) 1878 



3521 PEDDIE (William, f.r.s.e.) Manual of Physics : an Introduction to the Study of Physical 

 Science, with over 200 illustrations, cr. Svo. cl., 3s (p. 7* Qd) 1892 



3522 PEIRCE (Benjamin, Harvard Univ.) System of Analytic Meckathics, fnely printed in large 

 type, with plate, large 4to. cl., uncut (scarce), £1. 10^ Boston [Mass.], 18.55 



' I have rei-xamir.ed the memoirs of the great geometers, and have striven to consolidate their latest researches and their 

 most exalted forms of thought into a consistent and uniform treati.>e '.—Preface. 



' His demonstrations are always concise, and remarkable for the directness with which they attain tlielr end. In the 

 present volume is an instance in which a proposition is established by a few lines of argument as clearly and incontrovertibly 

 as by the dozen pages which the first propounder of the theorem employed in its proof.'— rAoTnos Hill, D.D. {President Oj 

 Harvard College). 



