A Course In Geometry Of N Dimensions Classic Reprint PDF Download

Excerpt from The Elements of Plane Geometry A solid has three dimensions - length, breadth, and thick ness. The boundaries of a solid are surfaces. A surface has two dimensions -length and breadth. The boundaries of a surface are lines. A line has one dimension length. The extremities of a line are points. A point has posi tion, but no magnitude. When a point moves continuously, it traces a line. Like wise, a surface may be generated by a moving line, and a solid by a moving surface. Hence we may conceive of a surface as existing in space without reference to its being a boundary of a solid. In like, manner we may conceive of lines and points as existing independently in space. 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.