Higher Geometry

Abstract

(I) IN 1873 Darboux published his interesting book, “Sur une classe remarquable de courbes et de surfaces algábriques,” in which he obtained properties of bicircular quartics, including as particular cases Cartesian ovals, the Iimaçon and the cardioide, by projection from the curve of intersection of two quadrics. But going on to the corresponding properties of quartic surfaces with a double conic, the cyclides and the anchor-ring, he found it necessary to remark: “Comme on n'a pas d'espace à quatre dimensions, les méthodes de projection ne s'etendent pas à la géométric de l'espace.”

(1) Principles of Geometry.

By Prof. H. F. Baker. Vol. 4: Higher Geometry; being Illustrations of the Utility of the Consideration of Higher Space, especially of Four and Five Dimensions. Pp. xvi + 250. (Cambridge: At the University Press, 1925.) 15s. net.

(2) Géométrie du compas.

Par A. Quemper de Lanascol. Pp. xx + 406. (Paris: Albert Blanchard, 1925.) 24 francs.