Synopsis
Excerpt from An Introduction to Projective Geometry and Its Applications<br><br><br><br>About the Publisher<br><br>Forgotten Books publishes hundreds of thousands of rare and classic books.<br><br>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. This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.<BR>The digital edition of all books may be viewed on our website before purchase.
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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