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Excerpt from A Treatise on Conic Sections: And the Application of Algebra to Geometry Art. Page 1 9. Rectangular and oblique cc-ordinates. Polar cc-ordinates. L 10, ll. Equation to a curve. Locus of an equation 6 section I I. 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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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Excerpt from A Treatise on Conic Sections and the Application of Algebra to Geometry Rectangular and oblique coordinates. Polar co-ordinates. 1. In order to determine the position of a point in a plane, some fixed point in the plane is taken for the origin of co-ordinates; and through it are drawn two fixed lines, called the co-ordinate axes, at right angles to one another. Then if the perpendicular distances of a point from each of the co-ordinate axes be given, its position will be completely determined. For let A (fig.l), be the origin of co-ordinates, X' AX, Y'AY, the co-ordinate axes, P any point, and PM, PN the perpendiculars let fall from it upon the co-ordinate axes; these perpendiculars are called the rectangular co-ordinates of P, and as their values change for the different points of the plane, they are denoted by the variables x and y. 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.