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 comprehensive views on the subject of Geometry, and to cultivate his reasoning powers with respect to all parts of human knowledge.
On the subject of viva vova demonstrations, much has been said against their general use, particularly in the higher orders of Mathematics and Physics, and indeed too much could not he 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.
In plane Geometry, however, where analytic artifice has no place, and where the reader is seldom, if ever, obliged to lose sight of the basis on which his reasoning rests, viva voce demonstrations are of powerful effect.
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. Это и многое другое вы найдете в книге The Elements of Geometry, in General Terms, With Notes, &C, &C (J. Luby)