Famous Problems of Elementary Geometry The Duplication of the Cube, the Trisection of an Angle, the Quadrature of the Circle

Widely regarded as a classic of modern mathematics, this expanded version of Felix Klein's celebrated 1894 lectures uses contemporary techniques to examine three famous problems of antiquity: doubling the volume of a cube, trisecting an angle, and squaring a circle. Today's students will find this volume of particular interest in its answers to such questions as: Under what circumstances is a geometric construction possible? By what means can a geometric construction be effected? What are transcendental numbers, and how can you prove that eand piare transcendental? The straightforward treatment requires no higher knowledge of mathematics. Unabridged reprint of the classic 1930 second edition.Klein, Félix is the author of 'Famous Problems of Elementary Geometry The Duplication of the Cube, the Trisection of an Angle, the Quadrature of the Circle' with ISBN 9780486495514 and ISBN 0486495515.