Excerpt from Plane and Solid Analytic Geometry
This book has been prepared primarily for the use of the students in the Massachusetts Institute of Technology, but it is hoped that it will be found adapted to the needs of other technical schools and colleges.
While the authors have restricted themselves to subject-matter properly belonging to a first course, they have, nevertheless, endeavored to give a complete and rigorous treatment of all questions discussed. The memorizing of a mass of formulas has been discouraged, the attention of the student being directed rather to the methods employed. At the end of the book a collection of formulas has been made, which, it is believed, is sufficient for all needs of the student.
In the Plane Geometry considerable space has been devoted to the general forms of the equations. In particular, the equation of the circle is treated in its most general form. The conics have been approached from their general definition, and the student is led to discuss the general equation of the second degree in which the xy term is missing, and to find the equations of the tangent, the normal, and the polar for the equation of this form. By this method of procedure much time is gained when the special equations of the parabola, the ellipse, and the hyperbola are discussed, and it is believed that the students grasp of the subject is thereby strengthened.
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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. Это и многое другое вы найдете в книге Plane and Solid Analytic Geometry (Classic Reprint) (Frederick H. Bailey)