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

 
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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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.

Reseña del editor

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.

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  • VerlagForgotten Books
  • Erscheinungsdatum2018
  • ISBN 10 1332434932
  • ISBN 13 9781332434930
  • EinbandTapa blanda
  • SpracheEnglisch
  • Anzahl der Seiten460

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Euclid
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ISBN 10: 1332434932 ISBN 13: 9781332434930
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Paperback. Zustand: New. Print on Demand. This book, an abridgement of Euclid's classic mathematical text, the Elements, synthesises the essentials of plane geometry. It contains all of Euclid's propositions in Books I-IV and VI, with additional propositions and exercises to enhance understanding. The author follows Euclid's order and methods, while streamlining proofs for greater clarity and brevity. The Elements was written around 300 B.C.E. and has profoundly shaped Western thought. It remains a cornerstone of mathematical education, teaching deductive reasoning, and problem-solving skills. Additions to the original text include applications of geometric principles, making the book relevant to students of architecture, engineering, and other fields. The author also provides definitions and postulates, as well as hundreds of exercises, to aid comprehension. With its focus on clarity and accessibility, this book is an indispensable resource for students, teachers, and anyone seeking a deeper understanding of geometry. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781332434930_0

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