A Text-Book of Euclid's Elements For: The Use of Schools, Books I-Vi and XI

H. S. Hall

ISBN 10: 1330385403 / ISBN 13: 9781330385401

Edité par Forgotten Books, 2019

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Print on Demand. This book is a pioneering work in the field of geometry, written by the renowned mathematician Euclid over two thousand years ago. It establishes the foundational principles of geometry through a series of propositions, theorems, and constructions, providing a systematic approach to understanding the properties of shapes and their relationships with one another. The author presents a logical framework for deducing geometric truths, introducing concepts such as angles, triangles, circles, and parallelism. Through rigorous proofs and clear explanations, this book has had a profound impact on the development of mathematics and remains a cornerstone of geometric education to this day, shaping our understanding of the subject for centuries. Its insights continue to inspire and empower mathematicians, engineers, and anyone seeking a deeper comprehension of the world around them. 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. N° de réf. du vendeur 9781330385401_0

Détails bibliographiques

Titre : A Text-Book of Euclid's Elements For: The ...

Éditeur : Forgotten Books

Date d'édition : 2019

Reliure : Paperback

Etat : New

Type de livre : print-on-demand item

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Synopsis :

Excerpt from A Text-Book of Euclid's Elements For: The Use of Schools, Books I-Vi and XI

This volume contains the first Six Books of Euclid's Elements, together with Appendices giving the most important elementary developments of Euclidean Geometry.

The text has been carefully revised, and special attention given to those points which experience has shewn to present difficulties to beginners.

In the course of this revision the Enunciations have been altered as little as possible; and, except in Book V., very few departures have been made from Euclid's proofs: in each case changes have been adopted only where the old text has been generally found a cause of difficulty; and such changes are for the most part in favour of well-recognised alternatives.

For example, the ambiguity has been removed from the Enunciations of Propositions 18 and 19 of Book I.: the fact that Propositions 8 and 26 establish the complete identical equality of the two triangles considered has been strongly urged; and thus the redundant step has been removed from Proposition 34. In Book II. Simson's arrangement of Proposition 13 has been abandoned for a well-known alternative proof.

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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.