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Excerpt from Coordinate Geometry In this book the several conics are treated early and in some detail, partly because of the value of a knowledge of their more important properties, partly because of the advantage, when presenting the analytic method to the student, of applying it in the first instance in the systematic study of a few interesting curves. In deference to usage, a chapter on the circle is introduced immediately after that on the straight line; but, if experience is to be trusted, it is better in a first course to proceed from the straight line directly to the parabola, so that, as early as possible, the student may get the impression which comes from seeing a method employed in the investigation of new material. The conics and the curves considered in Chapter XI afford illustrations of the study of locus problems by the method of coordinate geometry; and these illustrations are followed by a collection of exercises on loci in Chapter XII. The part of the book devoted to solid geometry is more extended than is customary in elementary text-books; but it is desirable that the material here given should be easily accessible to students. A pamphlet containing portions of the book has been in use at Princeton for three years. According to the experience thus gained, it should be possible for the better students to cover the text of the plane geometry, with the exception of Chapters III, VII, VIII, in a first-year course of three hours a week through half a year, and the remainder of the book in a second-year course of the same length. 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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