Euclid Revised: Containing the Essentials of the Elements of Plane Geometry as Given by Euclid in His Six Books (Classic Reprint) - Softcover

Euclid, Euclid

9781332434930: Euclid Revised: Containing the Essentials of the Elements of Plane Geometry as Given by Euclid in His Six Books (Classic Reprint)

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ISBN 10: 1332434932 ISBN 13: 9781332434930

Verlag: Forgotten Books, 2018

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Excerpt from Euclid Revised: Containing the Essentials of the Elements of Plane Geometry as Given by Euclid in His Six Books

Part II - Proportion, and Modern Geometry-contains Books v and vi, with their Addenda; and the eight Sections entitled General Addenda.

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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Excerpt from Euclid Revised: Containing the Essentials of the Elements of Plane Geometry as Given by Euclid in His Six Books

This Volume contains -

l, Enunciations, numbered according to Euclid, of all the Propositions in Books i-iv and vi of his Elements of Geometry:

2, Proofs of these Propositions in which the essentials of Euclids' methods are followed:

3, an Abridgement of Book v, including so much only as is necessary to render valid the proofs of Book vi:

4, Addenda at the end of each Book, arising out of its principles, in which are given -

(a) All the most obvious Corollaries to the Propositions;
(b)Some immediate Developments of the Propositions;
(c)The proofs of many useful Additional Theorems;
(d)Numerous Theorems as Exercises to be proved; accompanied by Hints towards the proofs of the more difficult:

5, General Addenda arranged in Sections; wherein will be found most of the fundamental Propositions of Maxima and Minima, Concurrency and Collinearity, Centres of Similitude, Coaxal Circles, The Tangencies, Inversion, Harmonic Section, and Poles and Polars.

The whole Work is divided into two Parts.

Part I - Plane Geometry without Proportion - contains Books i-iv, with their Addenda.

Part II - Proportion, and Modern Geometry - contains Books v and Vi, with their Addenda; and the eight Sections entitled General Addenda.

Each Part concludes with a collection of Problems for solution.

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.