Elements of the Conic Sections (Classic Reprint) - Softcover

Howland, Rufus B.

9781330245583: Elements of the Conic Sections (Classic Reprint)

Softcover

ISBN 10: 133024558X ISBN 13: 9781330245583

Verlag: Forgotten Books, 2018

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Excerpt from Elements of the Conic Sections

The hyperbola, in which any point is nearer the directrix than the focus; the constant ratio is less than unity.

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 Elements of the Conic Sections

For two years I have been giving my advanced classes in Geometry work in conic sections by means of notes copied by the hektograph. The amount of work has grown on my hands till it has been too large for convenient use in its present form; so it is now put in the hands of the printer.

To show the connection of the curves by their definition, and not to follow too closely the line of reasoning in other American works on this subject, I used Boscovitch's definitions, and find by so doing many theorems can be demonstrated with less work than by using the ordinary definitions.

The demonstrations are necessarily longer than those relating to the straight line and circle, but there is a corresponding advantage in discipline to the student.

Although more details are given than in English works, it is hoped that enough has been omitted to require the independent thought of the student; and the author trusts it may be of some use to those desiring a knowledge of this extensive subject.

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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