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Famous Problems of Elementary Geometry: The Duplication of the Cube, the Trisection of an Angle, the Quadrature of the Circle - Couverture souple

 
9781430461791: Famous Problems of Elementary Geometry: The Duplication of the Cube, the Trisection of an Angle, the Quadrature of the Circle

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Synopsis

""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 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.

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Présentation de l'éditeur

Leopold Classic Library is delighted to publish this classic book as part of our extensive collection. As part of our on-going commitment to delivering value to the reader, we have also provided you with a link to a website, where you may download a digital version of this work for free. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. Whilst the books in this collection have not been hand curated, an aim of our publishing program is to facilitate rapid access to this vast reservoir of literature. As a result of this book being first published many decades ago, it may have occasional imperfections. These imperfections may include poor picture quality, blurred or missing text. While some of these imperfections may have appeared in the original work, others may have resulted from the scanning process that has been applied. However, our view is that this is a significant literary work, which deserves to be brought back into print after many decades. While some publishers have applied optical character recognition (OCR), this approach has its own drawbacks, which include formatting errors, misspelt words, or the presence of inappropriate characters. Our philosophy has been guided by a desire to provide the reader with an experience that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic book, and that the occasional imperfection that it might contain will not detract from the experience.

Présentation de l'éditeur

Famous Problems of Elementary Geometry - The Duplication of the Cube - The Trisection of an Angle - The Quadrature of the Circle is an unchanged, high-quality reprint of the original edition of 1897. Hansebooks is editor of the literature on different topic areas such as research and science, travel and expeditions, cooking and nutrition, medicine, and other genres. As a publisher we focus on the preservation of historical literature. Many works of historical writers and scientists are available today as antiques only. Hansebooks newly publishes these books and contributes to the preservation of literature which has become rare and historical knowledge for the future.

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