Excerpt from The Elements of Geometry, in General Terms, With Notes, &C, &C: Also, a Variety of Problems and Theorems, Carefully Arranged and Selected; With Analysis The general objects of the present treatise being to facilitate the study of the Elements of Geometry, as well as to promote the exercise of it amongst the students as much as possible it seems advisable to show how far the reader may presume on these objects being attained. The former is attempted by giving the propositions of the Elements general demonstrations, which must, more than any other, contribute to give the reader clear and com prehensive views on the subject of Geometry, and to cultivate his reasoning powers with respect to all parts of human knowledge. On the subject of vice? Voce demonstrations, much has been said against their general use, particularly in the higher orders of Mathematics and Physics, and indeed too much could not be said, if any good were likely to result from it. Academical reform is too hopeless a case, and one of too extensive a nature, to be worth discussing at any length. 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.