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Excerpt from An Inductive Manual of the Straight Line and the Circle: With Many Exercises This manual is published to supply a need which its author has long felt, in the instruction of his own classes, for some other mode of teaching geometry than the purely deductive, which is almost exclusively followed in most of our text-books of to-day. That method seems in many cases to fail to give clear ideas to the young beginner in geometry and to involve the whole subject in a haze which it takes a considerable time to clear away. In too many cases, because he fails to comprehend the reasoning employed, he becomes discouraged; and, putting aside all confidence in his own powers of thought, he attempts to convince himself that such and such things must be true because the book says so," - a basis for opinion which is, it must be confessed, even more unsatisfactory in geometry than it is In other things with which we concern ourselves. 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.