A Treatise on the Circle and the Sphere PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download A Treatise on the Circle and the Sphere PDF full book. Access full book title A Treatise on the Circle and the Sphere by Julian Lowell Coolidge. Download full books in PDF and EPUB format.

A Treatise on the Circle and the Sphere

Author: Julian Lowell Coolidge
Publisher:
ISBN:
Category : Circle
Languages : en
Pages : 603

Book Description

A Treatise on the Circle and the Sphere

Author: Julian Lowell Coolidge
Publisher:
ISBN:
Category : Circle
Languages : en
Pages : 603

Book Description

A Treatise on the Circle and the Sphere, by Julian Lowell Coolidge.

Author: Julian Lowell Coolidge
Publisher:
ISBN: 9781418185701
Category : Mathematics
Languages : en
Pages : 604

Book Description

Treatise On the Circle and the Sphere

Author: Coolidge Julian Lowell
Publisher:
ISBN: 9780243839988
Category :
Languages : en
Pages :

Book Description

A Treatise on the Circle and the Sphere

Author: Julian Lowell Coolidge
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Book Description

A treatise on spherical geometry, containing its fundamental properties; the doctrine of its loci; the maxima and minima of spherical lines and areas; with an application of these elements to a variety of problems

Author: John HOWARD (of Newcastle.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 202

Book Description

A Treatise on the Circle and the Sphere

Author: Julian Lowell Coolidge
Publisher: Forgotten Books
ISBN: 9781440060380
Category : Mathematics
Languages : en
Pages : 610

Book Description
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.