Download or read book A Treatise On The Geometry Of The Circle written by William J M'Clelland and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this classic work on circle geometry, McClelland outlines the principles and techniques necessary to understand the properties and applications of circles. With a focus on practical examples and easy-to-follow explanations, this book is an ideal resource for students and mathematicians alike. 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 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. 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.
Download or read book A Treatise on the Geometry of the Circle and Some Extensions to Conic Sections by the Method of Reciprocation written by William J. M'Clelland and published by . This book was released on 1891 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on the Circle and the Sphere written by Julian Lowell Coolidge and published by . This book was released on 1916 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modern Geometry written by Roger Arthur Johnson and published by . This book was released on 1929 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on the Circle and the Sphere written by Julian Lowell Coolidge and published by Forgotten Books. This book was released on 2015-06-16 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Treatise on the Circle and the Sphere Every beginner in the science of geometry knows that the circle and the sphere have always played a central rôle, yet few people realize that the reasons for this are many and various. Attention was first called to these figures by their mechanical simplicity and importance, and the fortunate position thus won was further strengthened by the Euclidean tradition of limiting geometry, on the constructive side, to those operations which can be carried out with the aid of naught but ruler and compass. Yet these facts are far from sufficient to account for the commanding position which the circle and the sphere occupy to-day. To begin with, there would seem no a priori reason why those curves which are the simplest from the mechanical point of view should have the greatest wealth of beautiful properties. Had Euclid started, not with the usual parallel postulate, but with the different assumption either of Lobachevski or Riemann, he would have been unable to prove that all angles inscribed in the same circular arc are equal, and a large proportion of our best elementary theorems about the circle would have been lacking. Again, there is no a priori reason why a curve with attractive geometric properties should be blessed with a peculiarly simple cartesian equation; the cycloid is particularly unmanageable in pure cartesian form. The circle and sphere have simple equations and depend respectively on four and five independent homogeneous parameters. Thus, the geometry of circles is closely related to the projective geometry of three-dimensional space, while the totality of spheres gives our best example of a four-dimensional projective continuum. 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.
Download or read book A Treatise on the Geometry of the Circle and Some Extensions to Conic Sections by the Method of Reciprocation with Numerous Examples written by William J. M'Clelland and published by . This book was released on 2018-06-16 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on the Geometry of the Circle and Some Extensions to Conic Sections by the Method of Reciprocation with Numerous Examples written by William J. M'Clelland and published by Palala Press. This book was released on 2015-09-10 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Treatise On the Geometry of the Circle written by M'clelland William J. and published by . This book was released on 1901 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on Geometry and Its Application in the Arts written by Dionysius Lardner and published by . This book was released on 1840 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on the Analytical Geometry of the Point Line Circle and Conic Sections written by John Casey and published by . This book was released on 1885 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise on Modern Pure Geometry written by Robert Lachlan and published by . This book was released on 1893 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modern Geometry of the Point Straight Line and Circle written by John Alexander Third and published by . This book was released on 1898 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on the Circle and the Sphere by Julian Lowell Coolidge written by Julian Lowell Coolidge and published by . This book was released on 2006-09 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Circles written by Daniel Pedoe and published by Cambridge University Press. This book was released on 1995 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illuminates the fundamental aspects of geometry where the circle plays an important role.
Download or read book Advanced Euclidean Geometry written by Roger A. Johnson and published by Courier Corporation. This book was released on 2013-01-08 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.
Download or read book The Impossibility of Squaring the Circle in the 17th Century written by Davide Crippa and published by Springer. This book was released on 2019-03-06 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about James Gregory’s attempt to prove that the quadrature of the circle, the ellipse and the hyperbola cannot be found algebraically. Additonally, the subsequent debates that ensued between Gregory, Christiaan Huygens and G.W. Leibniz are presented and analyzed. These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle. The author shows how the controversy around the possibility of solving the quadrature of the circle by certain means (algebraic curves) pointed to metamathematical issues, particularly to the completeness of algebra with respect to geometry. In other words, the question underlying the debate on the solvability of the circle-squaring problem may be thus phrased: can finite polynomial equations describe any geometrical quantity? As the study reveals, this question was central in the early days of calculus, when transcendental quantities and operations entered the stage. Undergraduate and graduate students in the history of science, in philosophy and in mathematics will find this book appealing as well as mathematicians and historians with broad interests in the history of mathematics.
Download or read book A Treatise on the Analytical Geometry of the Point Line Circle and Conic Sections written by John Casey and published by . This book was released on 2016-07-03 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Treatise on the Analytical Geometry of the Point, Line, Circle, and Conic Sections: Containing an Account of Its Most Recent Extensions, With Numerous Examples For several years Analytical Geometry has been my special study, and some of the investigations in the more advanced portions of this Treatise were first published in Papers written by myself. These include: finding the Equation of a Circle touching Three Circles; of a Conic touching Three Conics extending the equations of Circles inscribed and circumscribed to Triangles to Circles in scribed and circumscribed to Polygons of any number of sides; the extension to Conics of the properties of Circles cutting orthogonally; proving that the Tact-invariant of two conics is the product of Six Anharmonic Ratios; and some others. Of the Propositions in the other parts of the Treatise, the proofs given will be found to be not only simple and elementary, but in some instances original. 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.
