Excerpt from Elements of Geometry and Trigonometry, From the Works of A. M. Legendre: Revised and Adapted to the Course of Mathematical Instruction in the United States In the definitions and reasonings of Geometry these terms are always used in an abstract sense; they are mere signs to the mind of the conceptions for which they stand. 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.