An Introduction to Projective Geometry and Its Applications - Couverture souple

Emch, Arnold

Couverture souple

ISBN 10 : 1149132531 ISBN 13 : 9781149132531

Editeur : Nabu Press, 2010

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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Présentation de l'éditeur

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Détails de l'édition

• Éditeur: Nabu Press
• Date d'édition: 2010
• ISBN 10: 1149132531
• ISBN 13: 9781149132531
• Reliure: Broché
• Langue: anglais
• Nombre de pages: 274