Author: William Benjamin Smith

Publisher: Forgotten Books

Published: 2015-06-13

Total Pages: 322

ISBN-13: 9781330291177

Excerpt from Introductory Modern Geometry of Point, Ray, and Circle This book has been written for a very practical purpose, namely, to present in simple and intelligible form a body of geometric doctrine, acquaintance with which may fairly be demanded of candidates for the Freshman class, and is in fact demanded at this University of the State of Missouri. This purpose has regulated both the amount and the character of the matter introduced. The former might have been made larger, the latter more uniform and scientific, but only - so at least it seemed to the author - at a sacrifice of usefulness under existing conditions. Much more than one year's study can hardly be given to Plane Geometry in the majority of High Schools and Academies - a fact that sets rather narrow limits to practicable treatment of the subject. In such a course the Apollonian problem would seem to present itself as a natural and rightful goal. Besides, in its solution the logical play, while direct and simple, is yet highly instructive and even artistic, - all the concepts of the foregoing sections are summoned up and marshalled and brought to bear upon a single point. But if any such goal is to be attained in such a time, the path pursued must not be tortuous, and there will be little leisure for lateral excursions. 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.