Articles liés à Plane and Solid Analytic Geometry: An Elementary Textbook
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Synopsis
Book by Ashton Charles Hamilton
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Présentation de l'éditeur
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.
Tags: equation line coordinates points cos locus axis equations lines plane axes circle parallel origin form perpendicular tangent curve geometry ellipse
Category: Mathematics - Geometry
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Présentation de l'éditeur
This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.
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