[PDF] The Geometry Of The Circle And Mathematics Letter eBook

Author : James Smith
Publisher : Forgotten Books
Page : 457 pages
File Size : 29,86 MB
Release : 2015-06-16
Category : Mathematics
ISBN : 9781330111888

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Excerpt from The Geometry of the Circle and Mathematics as Applied to Geometry by Mathematicians, Shewn to Be a Mockery, Delusion, and a Snare: Letter to G. G. Stokes I assume that you are a Geometer. If so, you may have mastered every proposition of Euclid, without having acquired even so much knowledge of Arithmetic, as to be master of the Multiplication Table. But, if you are a Mathematician, you will know that, we cannot apply Mathematics to pure Geometry, without the aid of "that indispensable instrument of science, Arithmetic," upon which all Mathematics are founded. In the geometrical figure in the margin, A B C D is a square on the radius of the circle; and, A C E F is a square on A C, a diagonal of the square A B C D, by construction. It is not only axiomatic, but self-evident, that A C E F is an inscribed square, and G B H K circumscribing square to the circle. 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.

Author : Dan Pedoe
Publisher : American Mathematical Soc.
Page : 102 pages
File Size : 39,26 MB
Release : 2020-08-03
Category : Mathematics
ISBN : 1470457326

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This revised edition of a mathematical classic originally published in 1957 will bring to a new generation of students the enjoyment of investigating that simplest of mathematical figures, the circle. The author has supplemented this new edition with a special chapter designed to introduce readers to the vocabulary of circle concepts with which the readers of two generations ago were familiar. Readers of Circles need only be armed with paper, pencil, compass, and straight edge to find great pleasure in following the constructions and theorems. Those who think that geometry using Euclidean tools died out with the ancient Greeks will be pleasantly surprised to learn many interesting results which were only discovered in modern times. Novices and experts alike will find much to enlighten them in chapters dealing with the representation of a circle by a point in three-space, a model for non-Euclidean geometry, and the isoperimetric property of the circle.

Author : Colonel James Smith
Publisher : Palala Press
Page : pages
File Size : 32,82 MB
Release : 2016-05-21
Category :
ISBN : 9781358306488

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : James Smith
Publisher : Palala Press
Page : 462 pages
File Size : 23,18 MB
Release : 2016-05-19
Category :
ISBN : 9781357399443

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : Alfred S. Posamentier
Publisher : Prometheus Books
Page : 352 pages
File Size : 41,78 MB
Release : 2016
Category : Mathematics
ISBN : 1633881679

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The circle has fascinated mathematicians since ancient times. This entertaining book describes in layperson's terms the many intriguing properties of this fundamental shape. If math has intimidated you, this may be the ideal book to help you appreciate the discipline through one of its most important elements. The authors begin with a brief review of the basic properties of the circle and related figures. They then show the many ways in which the circle manifests itself in the field of geometry--leading to some amazing relationships and truly important geometric theorems. In addition, they explore remarkable circle constructions and demonstrate how all constructions in geometry that usually require an unmarked straightedge and a compass can also be done with the compass alone. Among other things, the reader will learn that circles can generate some unusual curves - many even quite artistic. Finally, the role of circles in art and architecture and a discussion of the circle's place on the sphere bring "full circle" this presentation of a key element of geometry.