Excerpt from Famous Problems of Elementary Geometry: The Duplication of the Cube, the Trisection of an Angle, the Quadrature of the Circle
AT the Gottingen meeting of the German Association for the Advancement of the Teaching of Mathematics and the Natural Sciences, Professor Felix Klein presented a discus sion of the three famous geometric problems of antiquity, - the duplication of the cube, the trisection of an angle, and the quadrature of the circle, as viewed in the light of modern research.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
"synopsis" may belong to another edition of this title.
FREE shipping from United Kingdom to U.S.A.
Destination, rates & speedsSeller: Forgotten Books, London, United Kingdom
Paperback. Condition: New. Print on Demand. This book explores three famous geometric problems from ancient Greece: the duplication of the cube, the trisection of an angle, and the quadrature of the circle. For centuries, mathematicians sought solutions to these problems using only a straight edge and compass. The author, drawing upon the tools of algebra and higher analysis, reveals the intriguing truth behind these quests. He demonstrates how these problems, once thought to be solvable with such simple tools, are actually impossible to resolve in this way. The book delves into the mathematical concepts of rational and irrational numbers, and transcendental numbers, providing a clear and engaging explanation of why certain constructions are impossible. The author's discussion of Gauss's work on prime numbers and their relation to the division of the circle further illustrates the complexities and elegance of these geometrical questions. This book offers a fascinating journey into the world of ancient geometry, revealing the intricate connection between geometry and algebra and demonstrating the power of mathematical reasoning to unravel enduring mysteries. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330117736_0
Quantity: Over 20 available
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330117736
Quantity: 15 available
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330117736
Quantity: 15 available