An Introduction to Projective Geometry and Its Applications: An Analytic and Synthetic Treatment (Classic Reprint) - Couverture souple

Arnold Emch

Couverture souple

ISBN 10 : 1332455573 ISBN 13 : 9781332455577

Editeur : Forgotten Books, 2019

A propos du livre

Présentation de l'éditeur

Projective Geometry are usually written with the object of presenting this science in a purely systematic form; hardly any attention is paid to the applications. As a rule the methods of arithmetized mathematics have to be transformed, made more concrete, before they lend themselves to the solution of practical problems; and this, in the judgment of many, disfigures the purely scientific method. In this respect, projective geometry, geometry of position, is no exception. The puristic tendencies of vonS taudt, Reye, and others culminate in the modern Italian school of geometer-logicians, headed by VERONESE and ENRIQUES. The latters projective geometry2 contains an admirable logical presentation of the subject. With Enriques projective geometry is a visual science, and everything is foreign to it which cannot be based upon the axioms of vision. It seems doubtful whether the axioms of vision alone can establish a sound projective geometry. Enriques himself, in his book, lets the fundamental elements of the first order be generated by motion! In this visual geometry metrical properties, which are indispensable in the applications, appear as special cases and are of secondary importance. Conies result from the theory of polarity. On the other hand, FIEDLER, WIENER and others show that the methods of Poncelet, Steiner, Chasles, and Cremona naturally 1G rundzuge der Geometric, Teubner, Leipzig. 2G erman translation, Teubner, Leipzig.
(Typographical errors above are due to OCR software and don't occur in the book.)

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Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whi

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.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2019
• ISBN 10: 1332455573
• ISBN 13: 9781332455577
• Reliure: Broché
• Langue: anglais
• Nombre de pages: 301