A Syllabus of Modern Plane Geometry (Classic Reprint) - Softcover

Association, Mathematical

9781330075357: A Syllabus of Modern Plane Geometry (Classic Reprint)

Softcover

ISBN 10: 1330075358 ISBN 13: 9781330075357

Verlag: Forgotten Books, 2018

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Excerpt from A Syllabus of Modern Plane Geometry

The fundamental rules with regard to these signs are that (i) if A and B be any two points on a straight line.

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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 A Syllabus of Modern Plane Geometry

In Elementary Geometry a straight line of definite length, or a Segment, is considered with reference to absolute length only, and the question of whether it is to be added to or subtracted from another line is a matter of explicit statement.

In the Modern Plane Geometry account is taken of the direction of measurement along a straight line, and this is expressed with the help of the signs+ and.

The fundamental rules with regard to these signs are that (i) if A and Bbe any two points on a straight line,

Ab= -Ba, Ba= -Ab; an immediate consequence of which is that -(-Ab)= Ab, (ii) if A, B, Pbe any three points on a straight line, Ap +Pb =Ab. (2)Two fixed points (A and B)being taken on a straight line, the position of any other point P(on the same straight line) is given when the ratio of the segments Ap :Pb is given.

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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