The Parabola, Ellipse, and Hyperbola, Treated Geometrically (Classic Reprint)

The Parabola, Ellipse, and Hyperbola, Treated Geometrically (Classic Reprint)

Author: Robert William Griffin

Publisher: Forgotten Books

Published: 2018-01-14

Total Pages: 206

ISBN-13: 9780483094956

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Excerpt from The Parabola, Ellipse, and Hyperbola, Treated Geometrically Long experience has proved to me that it would be a. Great practical advantage for the general class of students to acquire a knowledge of even the elementary Geometrical properties of' the Parabola, Ellipse, and Hyperbola - a knowledge which may be attained, in a very short time, by any one acquainted with the six Books of Euclid, though many have neither the ability nor the perseverance necessary for the Analytical investigation. In the following Treatise I have endeavoured to demon strate, on strictly geometrical principles, the most useful properties of these curves. In the definition of a tan gent I have avoided the notion of a limit, adopting, in preference, Euclid's definition; and the demonstrations depending thereon will, I think, he found somewhat new and interesting. 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.


The Parabola, Ellipse and Hyperbola, Treated Geometrically

The Parabola, Ellipse and Hyperbola, Treated Geometrically

Author: Robert William Griffin

Publisher: Trieste Publishing

Published: 2017-08-11

Total Pages: 198

ISBN-13: 9780649105380

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Trieste Publishing has a massive catalogue of classic book titles. Our aim is to provide readers with the highest quality reproductions of fiction and non-fiction literature that has stood the test of time. The many thousands of books in our collection have been sourced from libraries and private collections around the world.The titles that Trieste Publishing has chosen to be part of the collection have been scanned to simulate the original. Our readers see the books the same way that their first readers did decades or a hundred or more years ago. Books from that period are often spoiled by imperfections that did not exist in the original. Imperfections could be in the form of blurred text, photographs, or missing pages. It is highly unlikely that this would occur with one of our books. Our extensive quality control ensures that the readers of Trieste Publishing's books will be delighted with their purchase. Our staff has thoroughly reviewed every page of all the books in the collection, repairing, or if necessary, rejecting titles that are not of the highest quality. This process ensures that the reader of one of Trieste Publishing's titles receives a volume that faithfully reproduces the original, and to the maximum degree possible, gives them the experience of owning the original work.We pride ourselves on not only creating a pathway to an extensive reservoir of books of the finest quality, but also providing value to every one of our readers. Generally, Trieste books are purchased singly - on demand, however they may also be purchased in bulk. Readers interested in bulk purchases are invited to contact us directly to enquire about our tailored bulk rates.


Conic Sections, Treated Geometrically (Classic Reprint)

Conic Sections, Treated Geometrically (Classic Reprint)

Author: W. H. Besant

Publisher: Forgotten Books

Published: 2019-01-09

Total Pages: 302

ISBN-13: 9780365148999

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Excerpt from Conic Sections, Treated Geometrically When the ratio is one of equality, the curve is called a Parabola. When the ratio is one of less inequality, the curve is called an Ellipse. When the ratio is one of greater inequality, the curve is called an Hyperbola. These curves are called Conic Sections, because they can all be obtained from the intersections of a Cone by planes in different directions, a fact which will be proved hereafter. 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.


The Parabola, Ellipse, and Hyperbola, Treated Geometrically

The Parabola, Ellipse, and Hyperbola, Treated Geometrically

Author: Robert William Griffin

Publisher: Forgotten Books

Published: 2015-06-26

Total Pages: 202

ISBN-13: 9781330417492

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Excerpt from The Parabola, Ellipse, and Hyperbola, Treated Geometrically Long experience has proved to me that it would be a great practical advantage for the general class of students to acquire a knowledge of even the elementary Geometrical properties of the Parabola, Ellipse, and Hyperbola - a knowledge which may be attained, in a very short time, by any one acquainted with the six Books of Euclid, though many have neither the ability nor tho perseverance necessary for the Analytical investigation. In the following Treatise I have endeavoured to demonstrate, on strictly geometrical principles, the most useful properties of these curves. In the definition of a tangent I have avoided the notion of a limit, adopting, in preference, Euclid's definition; and the demonstrations depending thereon will, I think, be found somewhat new and interesting. The similar properties of the three curves will be found to be treated in such a manner as to need scarcely any change of either words or notation. 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.


The Parabola, Ellipse, and Hyperbol

The Parabola, Ellipse, and Hyperbol

Author: Robert William Griffin

Publisher: Kessinger Publishing

Published: 2009-04

Total Pages: 200

ISBN-13: 9781104339883

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This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.


Dublin University Press Series. the Parabola, Ellipse, and Hyperbola, Treated Geometrically

Dublin University Press Series. the Parabola, Ellipse, and Hyperbola, Treated Geometrically

Author: Robert William Griffin

Publisher: Trieste Publishing

Published: 2017-09-09

Total Pages: 198

ISBN-13: 9780649667215

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Trieste Publishing has a massive catalogue of classic book titles. Our aim is to provide readers with the highest quality reproductions of fiction and non-fiction literature that has stood the test of time. The many thousands of books in our collection have been sourced from libraries and private collections around the world.The titles that Trieste Publishing has chosen to be part of the collection have been scanned to simulate the original. Our readers see the books the same way that their first readers did decades or a hundred or more years ago. Books from that period are often spoiled by imperfections that did not exist in the original. Imperfections could be in the form of blurred text, photographs, or missing pages. It is highly unlikely that this would occur with one of our books. Our extensive quality control ensures that the readers of Trieste Publishing's books will be delighted with their purchase. Our staff has thoroughly reviewed every page of all the books in the collection, repairing, or if necessary, rejecting titles that are not of the highest quality. This process ensures that the reader of one of Trieste Publishing's titles receives a volume that faithfully reproduces the original, and to the maximum degree possible, gives them the experience of owning the original work.We pride ourselves on not only creating a pathway to an extensive reservoir of books of the finest quality, but also providing value to every one of our readers. Generally, Trieste books are purchased singly - on demand, however they may also be purchased in bulk. Readers interested in bulk purchases are invited to contact us directly to enquire about our tailored bulk rates.


Conic Sections: Treated Geometrically (1875)

Conic Sections: Treated Geometrically (1875)

Author: William Henry Besant

Publisher:

Published: 2008-06-01

Total Pages: 312

ISBN-13: 9781436812009

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This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.


The Advanced Geometry of Plane Curves and Their Applications

The Advanced Geometry of Plane Curves and Their Applications

Author: C. Zwikker

Publisher: Courier Corporation

Published: 2011-11-30

Total Pages: 316

ISBN-13: 0486153436

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"Of chief interest to mathematicians, but physicists and others will be fascinated ... and intrigued by the fruitful use of non-Cartesian methods. Students ... should find the book stimulating." — British Journal of Applied Physics This study of many important curves, their geometrical properties, and their applications features material not customarily treated in texts on synthetic or analytic Euclidean geometry. Its wide coverage, which includes both algebraic and transcendental curves, extends to unusual properties of familiar curves along with the nature of lesser known curves. Informative discussions of the line, circle, parabola, ellipse, and hyperbola presuppose only the most elementary facts. The less common curves — cissoid, strophoid, spirals, the leminscate, cycloid, epicycloid, cardioid, and many others — receive introductions that explain both their basic and advanced properties. Derived curves-the involute, evolute, pedal curve, envelope, and orthogonal trajectories-are also examined, with definitions of their important applications. These range through the fields of optics, electric circuit design, hydraulics, hydrodynamics, classical mechanics, electromagnetism, crystallography, gear design, road engineering, orbits of subatomic particles, and similar areas in physics and engineering. The author represents the points of the curves by complex numbers, rather than the real Cartesian coordinates, an approach that permits simple, direct, and elegant proofs.