An Historical Investigation Of The Axiom Of Congruence In Euclids Elements

Author : H. M. Taylor
Publisher : Forgotten Books
ISBN 13 : 9781330157923
Total Pages : 537 pages
Book Rating : 4.1/5 (579 download)

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Download or read book Euclid's Elements of Geometry written by H. M. Taylor and published by Forgotten Books. This book was released on 2015-06-25 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Euclid's Elements of Geometry: Edited for the Syndics of the Press The Special Board for Mathematics in the University of Cambridge in a Report on Geometrical Teaching dated May 10, 1887, state as follows: 'The majority of the Board are of opinion that the rigid adherence to Euclid's texts is prejudicial to the interests of education, and that greater freedom in the method of teaching Geometry is desirable. As it appears that this greater freedom cannot be attained while a knowledge of Euclid's text is insisted upon in examinations of the University, they consider that such alterations should be made in the regulations of the examinations as to admit other proofs besides those of Euclid, while following however his general sequence of propositions, so that no proof of any proposition occurring in Euclid should be accepted in which a subsequent proposition in Euclid's order is assumed.' On March 8, 1888, Amended Regulations for the Previous Examination, which contained the following provision, were approved by the Senate: 'Euclid's definitions will be required, and no axioms or postulates except Euclid's may be assumed. The actual proofs of propositions as given in Euclid will not be required, but no proof of any proposition occurring in Euclid will be admitted in which use is made of any proposition which in Euclid's order occurs subsequently.' And in the Regulations for the Local Examinations conducted by the University of Cambridge it is provided that: 'Proofs other than Euclid's will be admitted, but Euclid's Axioms will be required, and no proof of any proposition will be accepted which assumes anything not proved in preceding propositions in Euclid.' 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.