Sinopsis
The present volume consists of the first five books of the authors Elements of Geometry, or that portion which relates toP lane Geometry. While the book speaks for itself, we would call attention to some of its most important features. The Introduction presents in the shortest possible compass the general outlines of the science to be studied, and leads at once to the actual study itself. The definitions are distributed through the book as they are needed, instead of being grouped in long lists many pages in advance of the propositions to which they apply. An alphabetical index is added for easy reference. The constructions are also distributed, so that the student is taught how to make a figure at the same time that he is required to use it in demonstration. Extensive use has been made of natural and symmetrical methods of demonstration. Such methods are used for deducing the formula for the sum of the angles of a triangle, for the sum of the exterior and interior angles of a polygon, for parallel lines, for the theorems on regular polygons, and for similar figures. The theory of limits is treated with rigor, and not passed over as self-evident. Attention is also called to the theorems of proportion and the use of corollaries as exercises to supply the need of inventional geometry.
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Reseña del editor
Excerpt from Elements of Geometry, Vol. 1
The present volume consists of the first five books of the authors' Elements of Geometry, or that portion which relates to Plane Geometry.
While the book speaks for itself, We would call attention to some of its most important features.
The Introduction presents in the Shortest possible com pass the general outlines of the science to be studied, and leads at once to the actual study itself.
The definitions are distributed through the book as they are needed, instead of being grouped in long lists many pages in advance of the propositions to which they apply. An alphabetical index is added for easy reference.
The constructions are also distributed, so that the student is taught how to make a figure at the same time that he is required to use it in demonstration.
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.
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