Veronese paul

1846 · 41240 — Berlin G. Reimer 1846. - Leipzig B.G. Teubner 1881. 4to and 8vo. Cayley's paper in "Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle Bd. 31: Drittes Heft.1846". Pp. 179-2682 and 1 plate. The whole issue Drittes Heft present with titlepage stitched without wrappers. Cayley's paper pp. 213-226. - Veronese's paper in "Mathematische Annalen. In Verbindung mit C. Neumann.hrsg. von Felix Klein und Adolph Meyer. XIX. Band. 2 Heft. 1881." Pp. 161-234. The whole issue 2. Heft present with orig. printed wrappers. No backstrip. Veronese's paper pp. 161-234. <br/><br/><em>Both papers first edition and first apperance in print of these two main papers in the history of projective geometry."Cayley in his paper "Sur quelques théorèmes de la géométrie de position" the paper offered first calls attention to the figures obtained by taking the section by a plane or 3-dimensional space of the complete n-point viz. n points and the n/2 lines n/3 plans etc. dtermined by them in a flat spaceof v dimensions. Later Veronese discusses more fully the nature of this class of configurations thus obtained in r dimensions the second paper offered. Both Cayley and Veronese state that these same configurations can also be obtained as projections of higher-dimensional figures." Walter B. Carver. Veronese "in particular may be considered the main founder of the projective geometry of hyperspaces with n dimensions which had previously been linear algebra presented geometrically rather than geometry."DSB. - An: Veronese-paper see Sommerville Bibliography of Non-Euclidean Geometry 1881:3.This issue of "Crelle's Journal" contains one more paper of Cayley: "Problème de géometrie analytique." pp. 227-230. </em> unknown