HENRY SOTHERAN & CO., 140, STRAND, W.C., AND 43, PICCADILLY, W. 827 

 MATHEMATICS, continued : 



16491 PLtJCKER (Julius; Univ. Bonn; F.R.S.) NEUE GEOMETRIE des RAUMES gegriindet auf die- 

 Betrachtung der geraden Linie als Rauraelement, mit Vorwort von A. CLEBSCH [herausgegeben 

 von FELIX KLEIN] ; with diagrams, 2 parts 4to. in 1, handsomely bound in hf. black morocco, cl. 

 sides, t. e. g. (as good as neiv), 11s (p. M. 15 sewn) Leipzig, 1868-9* 



' By considering space as made up of lines he created ' a new geometry of space '. Regarding a right line as a curve 

 involving four arbitrary parameters, one has the whole system of lines in space. By connecting them by a single relation,, 

 he got a ' complex ' of lines ; by connecting them with a twofold relation, a ' congruency ' of lines '. Prof. Cajori. 



16492 POISSON (Simeon Denis, de VInstitut ; F.R.S.) RECHERCHES sur la PROBABILITE des JUGE- 

 MENTS en MATIERE CRIMINELLE et en MATIERE CIVILE, precedees des Regies generales du 

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The author develops in this work his ' law of great numbers.' 



16493 PONCELET (GeneralJean Victor, de VInstitut; F.R.S.) APPLICATIONS d'ANALYSE et de 

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 Figures, avec Additions par MM. MANNHEIM et MOUTARD ; with folding tables and numerous 

 diagrams, 2 vols. 8vo. hf. maroon morocco neat, cl. sides (nice copy), 13.9 (p. F. 20 nett sewn) 1862-4 



16494 TRAITE des PROPRIETES PROJECTIVES des FIGURES, 2e [derniere] Edition, corrigee et 



augmentee d' Annotations nouvelles ; with 18 folding plates (linen-mounted], 2 vols. large 4to. in 

 1, handsomely bound in hf. purple morocco neat, cl. sides, uncut, t. e. g. (FINE COPY), 1. Is Qd 

 (p. F. 40 nett sewn) 1865-6 



' Long one of the best-known text-books on modern geometry. By means of projection, reciprocation, and homologous 

 figures he established all the chief properties of conies and quadrics. He also treated the theory of polygons.' 

 W. W. R. Ball. 



' He investigated in it the property of figures which remain unaltered by projection, which is not effected here by 

 parallel rays of prescribed direction, as with Monge, but by centre projection. . . . To him we owe the Law of Duality 

 as a consequence of reciprocal polars. ' Pro/. Cajori. 



The work was written in 1813 while the author was a prisoner of war in Saratoff, with no other help than his memory, 



16495 PORTIER (B.) Le CARRE DIABOLIQUE de 9 et son Derive" le CARRE SATANIQUE de 9 t Le 

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16496 POULAIN (Auguste, s.j.) PRINCIPES de la NOUVELLE GEOMETRIE du TRIANGLE; with 

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16497 PRACTICAL MATHEMATICS, new Edition, revised under the Supervision of C. G. 

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16498 PREDIGKER (C., Bergakademie, Clausthal) Die ELEMENTS der ANALYTISCHEN GEOMETRIE 

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16500 PRICE (Bartholomew, pr., F.R.S., Master of Pembroke Coll., Oxon.) TREATISE on INFINIT- 

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A standard work on the subject, containing Differential and Integral Calculus, Calculus of Variations, Applications to- 

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16502 PROCTOR (Richard Anthony, F.R.A.S.) TREATISE on the CYCLOID and all Forms of 

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16508 RAUSENBERGER (Otto) LEHRBUCH der THEORIE der PERIODISCHEN FUNCTIONEN einer 

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16509 REID (Legh Wilber, Haverford Coll.) The ELEMENTS of the THEORY of ALGEBRAIC NUM- 

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' It has been my endeavor to' lead by easy stages a reader, entirely unacquainted with the subject, to an appreciation, 

 of some of the fundamental conceptions in the general theory of algebraic numbers.' Preface. 



