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Excerpt from Plane and Solid Analytic Geometry: An Elementary Textbook
23. The equations of a line in terms of its direction cosines and the coordinates of a point through which it passes.
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Excerpt from Plane and Solid Analytic Geometry: An Elementary Textbook
23. The equations of a line in terms of its direction cosines and the coordinates of a point through which it passes.
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.
Reseña del editor
Excerpt from Plane and Solid Analytic Geometry: An Elementary Textbook
The present work is intended as a text-book for classroom use, and not as an exhaustive treatise on the subject. This object has been kept constantly in mind in writing the book, and every subject has been treated from this point of view. A large part of the book was mimeographed and tested by use for several years in the author's classes in Harvard University.
The author has tried to meet the needs of a class which occupies from sixty to seventy recitation hours upon the subject, and it is thought that the book ought to be completed by the average class in that time. Necessarily some subjects which usually find a place in books on Analytic Geometry have been omitted; but it is thought that nothing has been omitted which has an important bearing on future mathematical study.
The conies have been treated from their ratio definition, and much space and time have been gained by not repeating proofs which are identical, or very similar, for the three forms of the conic. Analytic methods are used throughout the book, and the author has attempted to give proofs which are concise and easily understood by the average student, but, at the same time, mathematically rigorous. In this connection he would call attention to the proofs in oblique coordinates (Arts. 12, 28), which are usually given without reference to the directions of the lines, and, therefore, do not hold if the positions of the points are changed.
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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