HENRY SOTHERAN & CO., 140, STRAND, W.C., AND 43, PICCADILLY, W. 819 

 MATHEMATICS, continued : 



16306 LIPSCHITZ (Rudolph Otto Siglsmund ; Univ. Bonn) LEHRBUCH der ANALYSIS (I. 

 Grundla^en. II. Differential- und Integralrechnung), 2 vols. 8vo. hf. cl. (nice copy) ; SCAECE, 15s 



Bonn, 1877-80 



16307 LISTING ( Johann Benedict ; Univ. Gottingen) VOESTUDIEN zur TOPOLOGIE ; with wood- 

 cuts, 8vo. (pp. 68), sewn (scarce), 6s Qd Gottingen, 1848 



' Varioiis researches have been brought under the head of analysis situs. The subject was first investigated by Leibniz, 

 and was later treated by Gauss, whose theory of knots has been employed by J. B. Listing.' Prof. Cajori. 



16308 LOBATSCHEWSKY (NicoJai Ivanovitch) GEOMETRICAL RESEARCHES on the THEORY of 

 PARALLELS, translated [with Introduction, and Appendix on Elliptic Geometry], by GEORGE 

 BRUCE HALSTED, Univ. Texas, with 37 diagrams, roy. 8vo. cl., or, buckram (scarce), 10s Qd 



Austin, Texas, 1891 



The only English translation of the author's celebrated researches on the theory of parallel lines the foundation of 

 hyperbolic geometry. ' What Vesalius was to Galen, what Copernicus was to Ptolemy, that was Lobatschewsky to 

 Euclid '.Professor Clifford. 



16309 _ ETUDES GEOMETRIQUES sur la THEORIE des PARALLELES, traduit [avec Preface] par J. 

 HOUEL, suivi d'un Extrait de la Correspondance de GAUSS et de SCHUMACHER ; with diagrams, 

 roy. 8vo. (pp. 46), sewn (scarce), 6s [Bordeaux, 1866] 



The first French translation. 



v. ENGEL, ante. 



16310 LOCK (John Bascombe, pr., Cains Coll.) TREATISE on ELEMENTARY and HIGHER TRIGONO- 

 METRY; with Key to the Elementary Trigonometry by HENRY CARR, of Lagos, with diagrams, 

 2 vols. fcap. 8vo. and post 8vo. buckram, 8s (p. 16s) [1910] 



TREATISE on HIGHER TRIGONOMETRY [4th and last Edition, enlarged], with numerous 



diagrams, cr. 8vo. buckram, 2s 6d 1909 



16312 -- ANOTHER COPY, also : TREATISE on ELEMENTARY TRIGONOMETRY, with illustrations 

 2 vols. cr. 8vo. in 1, hf. black morocco neat, cl. sides (as good as new), 5s 6d (p. 9s in cl.) 1909-12 



16313 LODGE (Alfred, Prof. Pure Mathematics, Cooper's Hill) DIFFERENTIAL CALCULUS for 

 BEGINNERS, with Introduction by SIR OLIVER JOSEPH LODGE, F.R.S., with diagrams, post 8vo. 

 cl., 2s 6d (p. 4s 6d) 1902 



16314 LONEY (Sidney Luxton, Roy. Hplloway Coll.) The ELEMENTS of COORDINATE GEOMETRY, 

 2nd (latest) Edition [revised], with diagrams, with the Solutions, 2 vols. cr. 8vo. in one, hand- 

 somely bound in hf. black morocco, cl. sides, 9s (p. 13s 6d nett in cl.) 1906 or '12 



16315 - PLANE TRIGOMETRY, ivith diagrams, with Solutions, 2 thick vols. cr. 8vo. in 1, hand- 

 somely bound in hf. pigskin, cl. sides, 11s (p. 18s in cl.) Univ. Press, Cambridge, 1907-1896 



16316 LONGCHAMPS (G. de) COURS d' ALGEBRE, 2 e [derniere] Edition ; with diagrams : SUP- 

 PLEMENT (Trigometrie ; les Infiniment Petits ; les Quadratures ; Mecanique), 3 e [derniere] Edition, 

 entierement refondue ; with numerous diagrams 2 thick vols. 8vo. in 1, handsomely bound in hf. 

 pigskin, cl. sides (nice copy), 10s (p. F. 17.50 nett sewn) 1889-93 



16317 - COURS de GEOMETRIE ANALYTIQUE a DEUX et TROIS DIMENSIONS ; with numerous 

 diagrams, 2 thick vols. 8vo. in 1, handsomely bound in hf. pigskin, cl. sides (nice copy), JOs 

 (p. F. 17.50 nett sewn) 1884 



16318 - COURS de PROBLEMES de GEOMETRIE ANALYTIQUE ; with numerous diagrams, 3 vols. 

 8vo. in 2, handsomely bound in hf. black morocco, cl. sides, uncut, t. e. t. (as good as new), 16s 6d 

 (p. F. 22.50 nett sewn) 1 898-9 



16319 - VOLS. I AND II ONLY, with numerous diagrams, 2 vols. 8vo. in 1, bucJcram, Is (p. F. 12.50 

 nett sewn) 1898-9 



16320 LOK.ENTZ (Hendrik Antpon, Univ. Leyden) LEHRBUCH der DIFFERENTIAL- und INTEGRAL- 

 RECHNUNG, nebst Einfiihrung in andere Teife der Mathematik, mit bespnderer BeiiicksichtigiiDg 

 der Bediirfnisse der Studierenden der Naturwissenschaften, unter Mitwirkucg des Verfassers 

 iibersetzt von G. C. SCHMIDT, 2. [neueste] Auflage ; with 123 diagrams, 8vo. buckram, 8s 60? 

 (p. M. 12 sewn) Leipzig, 1907 



16321 LORIA (Gino ; Univ. Genoa) Die HAUPTSACHLICHSTEN THEORIEN der GEOMETRIE in ihrer 

 friiheren und heutigen Entwicklung, ins Deutsche iibertragen von FRITZ SCHUITE, mit Vorwort 

 von R. STURM, 8vo. buckram, 3s Leipzig, 1888 



16322 - SPEZIELLE ALGEBRAISCHE und TRANSCENDENTS EBENE KURVEN : Theorie und 

 Geschichte, autorisierte, nach dem italienischen MS. bearbeitete deutsche Ausgabe von FRITZ 

 SCHUTTE; with 17 folding plates ( finely LINEN-MOUNTED), thick 8vo. handsomely bound in hf. 

 pigskin, cl. sides, 15s (p. M. 26 sewn) ibidem, 19C2 



16323 - ZWEITE [NEUESTE] AUFLAGE ; with 20 folding plates (all neatly LINEN-MOUNTED), 

 2 vols. large 8vo. handsomely bound in hf. pigskin, cl. sides (fine copy), 1. 5s (p. M. 29 sewn) 



ibidem, 1910-11 



16324 - VORLESUNGEN iiber DARSTELLENDE GEOMETRIE, autorisierte, nach dem italienischen 

 MS. bearbeitete deutsche Ausgabe von FRITZ SCHUTTE, II. Teil : Anwendungen auf ebenflachige 

 Gebilde, Kurven und Flachen ; with 146 diagrams, large 8vo. cl., 7s 6d (p. M. 12) ib., 1913 



16325 LORMEATT (E.), et P. MEB.LET : PROBLEMES de GEOMETRIE, donne's aux Examens de 

 Baccalaure"at, 1904-8 : ENONCES et SOLUTIONS ; with numerous diagrams, 8vo. buckram, 3s [1909] 



