Geometry—Not in Euclid's Order

Abstract

THIS little book is another attack on Euclid, and its main object is to exhibit an elementary course of geometry in a system of natural sequence—Euclid's order and method being, of course, ignored. Although in the preface the author adopts a severely logical style and successfully maintains a strong case against our conservative Euclidians, it seems to us that in one respect he is in error. His work is divided into three chapters, headed “Straight Lines and Rectilineal Figures,” “The Circle,” and “Areas.” In the first chapter no mention of a circle occurs, and the author taxes Euclid with an illogical mode of procedure in the following words:—

Primer of Geometry, comprising the Subject-Matter of Euclid I.–IV., treated by the Methods of Pure Geometry.

By H. W. Croome Smith Pp. xvi + 100. (London: Macmillan and Co., Ltd., 1901.) Price 2s.