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



3081 MORGAN (Augustus de) The Elements of Arithmetic, first edition, fcap. 8vo. hoards 

 {rare), 5s 1830 



The author's first original work. 



3082 Third Edition [rewritten], 8vo. cl., 3s 1835 



3083 Fourth Edition, 8vo. cL, 3s 6d 1840 



3084 Fifth [last] Edition [enlarged], 8vo. cl., 4s 1846 



3085 Elements of Trigonometry, and Trigonometrical Analysis, diagrams : The Con- 

 nexion of Number and Magnitude ; an Attempt to explain the Fifth Book of Euclid— 2 vols. 

 8vo. in 1, cl., 5s 1837-6 



3086 Essay on Probabilities, and on their Application to Life Contingencies and Insurance 



Offices, vignette by Finden, fcap. 8vo. cl., uncut, 4* 1838 or n.d. 



3087 ANOTHER Copy, hf. calf neat, 4^ Qd 



3088 Explanation of the Gnomonic Projection of the Sphere : a Description of the 



Construction and Use of the Larger and Smaller Maps of the Stars ; as also of the Six Maps of 

 the Earth, illustrated, 8vo. cl., 4s Qd 1836 



3089 Formal Logic : or the Calculus of Inference, Necessary and Probable, 8vo. cl. 



(scarce), £1. Is 1847 



One of the first works attempting to place logic on a mathematical basis. It caused an attack from Sir William 



Hamilton, the metaphysician, who accused the author of having appropriated therein his doctrine of the ' quantification of 



the predicate '. Prof, de Jforgan's reply may be found in his Budget of Paradoxes. 



3090 The Globes, Celestial and Terrestrial, diagrams, 8vo. cl., 3s Qd 1845 or '47 



3091 [ :] Library of Useful Knowledge : Mathematics I. Study and Difficulties of 



Mathematics. Arithmetic and Algebra. Examples of the Processes of Arithmetic and Algebra. 



II. Geometry, Plane, Solid, and Spherical. Elements of Trigonometry : Spherical Trigonometry. 



Algebraical Geometry, with numerous diagrams, 2 vols. 8vo. d., uncut (scarce), £1. Is 1836-5 



All the articles of vol'. I, as well as 'Spherical Trigonometry' of v. II, were by Prof, de Morgan, and, excepting 



the first, have never been republished in any form. The rest were written by Pierce Morton, William Hopkins 



{v. No. 1993, ante), and S. W. Waud. 



3092 Volume I only, 8vo. hf. calf gilt, lOs ed 1836 



3093 : On the Study and Difficulties of Mathematics : Elements of Spherical 



Trigonometry : also, Elements of Trigonometry, by William Hopkins : On Probability 

 fby Sir John William Lubbock, f.r.s., and John Elliot Drinkwater] : Account of Bacon's 

 Novum Organon : Arithmetic and Algebra : Elementary Illustrations of the Differ- 

 ential and Integral Calculus— 2 vols. 8vo. with numerous diagrams, hf. calf gilt, 15s [1830-6] 



The above copy belonged to Joseph Gwilt, f.s.a., Avho has added some MS. notes and his bookplate. 



3094 On the Study and Difficulties of Mathematics, new Ed. [revised, with Preface, Notes 



and Index, by Thomas J. McCormack], with portrait, 8vo. cl., 3s (p. 4* Qd nett) Chicago, 1898 



3095 Trigonometry and Double Algebra, with front, aiid diagrams, 8vo. cl. (scarce), 



185 6d 1849 



' His 'double algebra' was the forerunner of quaternions, and contained the complete geometrical interpretation of 

 \/— 1'. — R.A.S. Monthly Notices. Sir W. R. Hamilton acknowledged the suggestions received from the above work in 

 his Lect^ires on Quateriiions (q, v. ante). 



3096 , Memoir of, by his Wife Sophia Elizabeth, with select Letters, autotype portrait, 8vo. 



cl. {out of print), 8s 6d 1882 



Valuable for the author's interesting correspondence with Sir William Hamilton, Sir John Herschel, Dean Peacock, 

 Admiral Smyth, Dr. Whewell. and many others. 



V. Ramchundra, post. 



3097 MORGAN (Silvanus ; writer on heraldry) HOROLOGIOGRAPHIA Optica : Dialling Universal! 

 and Particular : Speculative and Practical, with diverse Propositions of the use and benefit of 

 shadows, servin^,' to prick down the Signes, Declination, and Azimuths, on Sun-Dials, etc., 

 illustrated by diverse Opticall Conceits ; lastly Topothesia, or a feigned description of the 

 Court of Art, full of benefit for the making of Dials, Use of the Globes, Difference of Meridians, 

 and most Propositions of Astronomic, with many usefuU Instruments and Dials in Brasse, made 

 by Walter Hayes, in More Fields, with finely engraved front., and numerous woodcuts and 

 diagrams, sm. 4to. contemporary calf {slightly wormed, and front, shorn ; otherivite a very fine 

 AND LARGE COPY) ; RARE ; £3.'3s R. and W. Leybourn, 1652 



3098 Another Copy, tvanting engraved title, I. of verses, and pp. 5-6, also top of printed 



title defective, sm. 4to. contemporary ca//" (CHEAP), 185 6(/ 



3099 MORGAN (William, f.r.s., Actuary to the Equitable Society) The DOCTRINE of Annuities 

 and Assurances on Lives and Survivorships, stated and explained, with Intro., and Essay 

 on the Present State of Population in England and Wales by Kichard Price, 8vo. boards, 

 uncut {rare), \5s 1779 



' Morgan takes high rank among the pioneers of life assurance in England. The phenomenal success of the Equitable 

 Society in the midst of so many contemporary failures was mainly due to his careful administralion and sound actuarial 

 advice. The details which he published as to the mortality experience of that society furnished data for the amendment 

 of the Northampton tables, and the construction of others by various actuaries. The first instalment of Morgan's 

 statistics was published in his Doctrine 0/ Annuities, 1779 '.—D. X. B. 



3100 MORIN (Gen. Arthur) Aide-Memoire de Mecanique Pratique, 4^ Ed.; ivith 10 woodcuts, 

 8vo. hf calf extra, 3sjid 1858 



3101 CiNQUlicME Edition [consid^rablementaugmentee] ; withl4ivoodcuts, Svo. hf. calf, 4s 1864 



3102 Machines et Appareils destines a I'El^vation des Eaux; with 9 folding plates, 8vo. 



hf. calf gilt, 4s , 1863 



3103 Notions Fondamentales de Mecanique, et Donn^es d'Experience, 3^ Ed. ; with 5 



plates and 102 diagrams, Svo. cl., 3s Qd 1860 



3104 Deuxi^me Edition ; with 5 plates, and 100 woodcuts: Sonnet (H.) Notions de Mecan- 

 ique, 2^ Ed., augmentee ; with 4 plates, and diagrams— 2 vols. Svo. in 1, hf. calf gilt ^ 5s 1855-7 



