Famous Problems Of Elementary Geometry: The Duplication Of The Cube, The Trisection Of An Angle, The Quadrature Of The Circle

by Felix Klein, Wooster Woodruff Beman (Translator), David Eugene Smith (Translator)

""Famous Problems of Elementary 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 well-known and challenging problems in geometry. The book is divided into three parts, each focusing on one of the problems. The first part of the book deals with the problem of duplicating the cube, which involves constructing a cube with twice the volume of a given cube using only a compass and straightedge. Klein provides a historical overview of the problem and explores various attempts to solve it, including those by ancient Greek mathematicians and modern mathematicians such as Galois and Abel. The second part of the book discusses the problem of trisecting an angle, which involves dividing an angle into three equal parts using only a compass and straightedge. Klein again provides a historical overview of the problem and examines various attempts to solve it, including those by ancient Greek mathematicians and modern mathematicians such as Gauss and Ramanujan. The third and final part of the book focuses on the problem of quadrature of the circle, which involves constructing a square with the same area as a given circle using only a compass and straightedge. Klein once again provides a historical overview of the problem and explores various attempts to solve it, including those by ancient Greek mathematicians and modern mathematicians such as Euler and Legendre. Throughout the book, Klein provides detailed explanations of the various methods and approaches used to tackle these famous problems, making it a valuable resource for students and professionals interested in geometry and mathematics.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.

Genres: Mathematics

92 pages, Paperback

First published December 15, 2003