Excerpt from The Elements of Coordinate Geometry: In Three Parts
This book contains some matter not heretofore found in works upon Analytical Geometry. As it is designed as a text-book, care has been taken to separate the different subjects so that they may be studied advantageously, each by itself. The Cartesian system will naturally, if not necessarily, be studied first, for it is not only the most common, but is the leading system used in the Calculus. The matter pertaining to the conic sections is considerably condensed, compared with most other works which treat of the subject. This has been accomplished by treating of the several curves under one head when discussing a property which is common to all of them. By this arrangement we trust that some time will be saved to the student in this part of the work, and thus enable him to give more time to advanced portions of the subject.
The subject of Quaternions is treated in the most elementary manner, and the examples are of the simplest kind, the object being to explain and illustrate the principles and the character of the operations without taxing the ingenuity of the student in the mere solution of problems. One cannot form a correct judgment of the power of this analysis from these examples, but to attempt to explain its higher processes would be equivalent to excluding it from our courses of study. If the presentation here made of the subject succeeds in creating an interest in it, and of establishing a correct foundation for its future study, all will be accomplished that was intended. The English works upon the subject are not numerous.
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. Это и многое другое вы найдете в книге The Elements of Coordinate Geometry (De Volson Wood)