HENRY SOTHERAN & CO., 140, STRAND, W.C., AND 43, PICCADILLY, W. 385 



7541 [EMERSON (William)] The ARITHMETIC of INFINITES, and the DIFFERENTIAL METHOD ; 

 illustrated by Examples, with numerous plates, Svo. old calf, or, boards, uncut (rare], 10s Qd 1767 



Bound up are ' The Nature and Properties of Curve Lines ' (pp. 120), and ' The Elements of the Conic Sections ' (pp. 225). 



' The Arithmetic of Infinites ' ist die Kunst, die Potenzen der Glieder einer arithmetischen Reihe von unendlich kleiner 

 Differenz zu summieren. Sie wird besonders auf die Berechnung von geometrischen Grossen angewandt, welche als aus 

 unteilbaren Elementen zusammengesetzt betrachtet werden". Prof. M. Cantor. 



7542 [ ] The ART of SURVEYING, or Measuring Land, 5 plates, 8vo. sewn, '2s Qd 1770 



7543 [ ] CALCULATION, LIBRATION, and MENSURATION [including GAUGING], Opiates, 8vo. 



sewn, 2s 1770 



7544 [ ] CHRONOLOGY: or the Art of Reckoning Time, founded on Astronomical Principles, 

 with Chronological Table, 8vo. sewn, 2s 1770 



7545 [ ] CYCLOMATHESIS : or an EASY INTRODUCTION to the several Branches of MATHEMATICS, 



first edition, 8vo. contemporary sheep, with auto, and bookplate of John Gough, mathematical 

 teacher of John Dalton and Dr. Whewell, 5s 6d 1763 



The above work forms the first volume of a proposed cyclopaedia of mathematics, and contains (with sub-title), 

 ' A Treatise of Arithmetic, containing all the Practical Parts thereof, with the Theory of Numbers.' It was reprinted in 

 1791 ; the above first edition was unknown to Prof, de Morgan. 



7546 i" ] DIALLING, or the Art of Drawing Dials, on all Sorts of Planes whatsoever, with 



18 plates : The MATHEMATICAL PRINCIPLES of GEOGRAPHY : the Various Properties and 

 Affections of the Earth and Sea ; the Use of the Artificial or Terrestrial Globe ; and the Principles 

 of Spherical and Spheroidical [sic] Sailing, with 4 plates 2 vols. 8vo. in 1, sound copies in old 

 calf, Is Qd 1770 



7547 [ ] The DOCTRINE of COMBINATIONS, PERMUTATIONS, and COMPOSITIONS of QUANTITIES, 



clearly and succinctly demonstrated, 8vo. (pp. 32), sewn, 2s Qd 1770 



7548 [ ] The DOCTRINE of FLUXIONS : not only explaining the Elements thereof, but also its 



Application and Use, with 10 plates, 8vo. old calf (title mounted), 4s 1743 



7549 [ ] SECOND EDITION, greatly enlarged, with 12 plates, 8vo. old calf, 5s Qd 1757 



7550 [ ] DOCTRINE of PROPORTION, Arithmetical and Geometrical, with a general METHOD for 



ARGUING by PROPORTIONAL QUANTITIES, with Infolding copperplates, 8vo. old calf, 5s 1763 



The author invented in the above work two new algebraic symbols, viz. for a harmonic proportion, and =-^ for a har- 

 monic progression. 



7551 [ ] The ELEMENTS of OPTICS, with the Construction of OPTICAL INSTRUMENTS, 13 plates: 



PERSPECTIVE : or the Art of drawing the Representations of all Objects on a Plane, 15 plates 

 2 vols. 8vo. in 1, contemporary calf, 5s Qd 1768 



7552 [ ] The ELEMENTS of TRIGONOMETRY, plainly and clearly demonstrated, with 6 plates : 



The PROJECTION of the SPHERE, Orthographic, Stereographic, and Gnomonical, with 12 plates^ 

 2 vols. 8vo. in 1, sound copy in old calf, 7s Qd 1749 



7553 [ ] SECOND EDITION, with large Additions, together with the TABLES of Natural and 



Artificial SINES, TANGENTS, etc. and LOGARITHMS, with 8 plates, 8vo. old calf (nice copy), 4s 1764 



7554 [ ] MECHANICS ; or the DOCTRINE of MOTION, with plates, 8vo. boards, uncut, or, old calf, 



3s Qd 1769 



7555 [ ] The METHOD of INCREMENTS, wherein the Principles are demonstrated ; and the Practice 



thereof shewn in the Solution of Problems, 4to. boards (some II. stained) ; rare, 10s 1763 



7556 ANOTHER COPY, contemporary calf (sound copy), 12s 



Chiefly based on Taylor's ' Methodus Incrementorum ', and Stirling's ' Differential Method ', and valuable as an early 

 treatise on the calculus of finite differences. 



7557 [ ] MISCELLANIES, or a Miscellaneous Treatise ; containing several MATHEMATICAL SUB- 

 JECTS, with 10 plates, thick 8vo. boards, uncut (rare), 8s Qd 1776 



Containing the Laws of Chance, Moon's Motions, Construction of Logarithms, Interpolation, Longitude, etc. etc. etc. 



7558 [ ] The PRINCIPLES of MECHANICS, explaining and demonstrating the General Laws of 



Motion ; 2nd Edition, very much enlarged, with 43 copperplates, 4to. old calf (nice copy), Qs 1758 



7559 ANOTHER COPY, contemporary hf. calf, uncut, with auto, of Richard Watson, absentee 



Bp. ofLlandaff, F.R.S. (1737-1816), on title and his Calgarth Park book-label, 7s Qd 



7560 [ ] THIRD EDITION, corrected, with 43 copperplates, 4to. contemporary calf, Qs 1773 



7561 [ ] FOURTH EDITION, corrected, with 43 copperplates, 4to. old calf, 5s 1794 



Containing a proposition, quoted by Mr. Dircks, showing the impossibility of perpetual motion. 



7562 [ ] The PROJECTION of the SPHERE, Orthographic, Stereographic, and Gnomonical, both 



demonstrating the Principles, and explaining the Practice, with folding plates, Svo. old sheep, 5s Qd 



1749 



7563 [ ] SYSTEM of ASTRONOMY, containing the Investigation and Demonstration of its Elements, 



with 16 plates, Svo. old calf, 4s Qd 1769 



7564 [ ] TREATISE of ALGEBRA, with a great Variety of Problems, 13 plates, Svo. old calf (joints 

 cracked), 2s Qd 1764 



The author began life as a poor boy, and walked all the way from Durham to London. ' He refused to become a member 

 of the Royal Society because, as he said, ' it was a damned hard thing that a man should burn so many farthing candles as 

 he had done, and then have to pay so much a year for the honour of F.R.S. after his name '.' D. N. B. 



From his strong vigorous mind and close application he had acquired a deep knowledge of all the branches of 

 mathematics and physics, on every part of which he wrote good treatises'. Dr. Hutton, F.R.S. 



7565 ENDUES (Ernest) MANUEL du CoNDUCTEURdes PONTS et CHAUSSEES, The'orique, Pratique, et 

 Technique, d'apres le dernier Programme Officiel des Examens d'Admission, 7 e [derniere] Edition ; 

 with 994 illustrations and diagrams, 3 vols. 8vo. hf. calf extra (nice copy), 16s Qd (p. F. 27 nett 

 unbound) 1884-8 



7566 ENGEL (Johann Jakob) VERSUCH tiber das LICHT, 12mo. original boards (rare), 8s Qd 



Berlin, 1800 



Probably the only contribution to science by this well-known German litterateur, and consisting mainly of a refutation 

 of Newton's emission theory of light, based on Euler's researches. It was unknown to Poggendorff. 



