Books Iii Vi Practically Applied Or Gradations In Euclid Part Ii With Algebraical And Arithmetical Illustrations Explanatory Notes And A Synoptical Index To The Six Books Shewing The Uses Of The Propositions C PDF Download

Excerpt from Gradations in Euclid: Books I. And II.; An Introduction to Plane Geometry, Its Use and Application; With an Explanatory Preface; Remarks on Geometrical Reasoning, and on Arithmetic and Algebra Applied to Geometry The explanatory notes direct the Learner's attention to several points of interest connected with the Definitions and Propositions and to many of the Propositions is appended an account of the chief practical Usas to which they may be applied. This is valuable for many reasons, but principally that the Learner may at once see, not simply the theoretical and abstract truths of Geometry, but their direct utility in various ways. There are very many persons who, from studying only the Common Editions of Euclid, which treat exclusively of the Theory of Geometry, never attain to a perception of its importance, and never realise the full advantages of geometrical studies. Indeed, they have read and demonstrated the whole work without perceiving any value in their laborious pursuit except as an exercise of the memory and mental powers in a very dry course of reasoning. It is the main object of our Gradations in Euclid to combine Theory and Practice, and, as soon as a geometrical truth has been established, to point out its use and application. The Author is thoroughly persuaded that this immediate Combination of Theory and its Application, not only awakens and maintains a livelier interest, but, in fact, leads to a more scholar-like understanding of both, than when they are studied separately, or at wide intervals of time. The Uses to which the Propositions may be applied are very numerous; and we have given only a portion of them - more in the way of example, and to point out in some instances the progress of geometrical discovery. 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.