Famous Problems Of Elementary Geometry

""Famous Problems of Elementary Geometry: The Duplication of the Cube, The Trisection of an Angle, The Quadrature of the Circle"" is a book written by Felix Klein that explores three of the most famous and longstanding problems in the field of geometry. The first problem, the duplication of the cube, involves constructing a cube with twice the volume of a given cube using only a compass and straightedge. The second problem, the trisection of an angle, involves dividing any angle into three equal parts using only a compass and straightedge. The third problem, the quadrature of the circle, involves constructing a square with the same area as a given circle using only a compass and straightedge. Klein provides historical background and mathematical analysis of each problem, including attempts by ancient and modern mathematicians to solve them. The book is written for a general audience and includes diagrams and illustrations to aid in understanding the concepts.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.