Projective Geometry

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Projective Geometry by T. Ewan Faulkner, Dover Publications
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Author: T. Ewan Faulkner ISBN: 9780486154893
Publisher: Dover Publications Publication: February 20, 2013
Imprint: Dover Publications Language: English
Author: T. Ewan Faulkner
ISBN: 9780486154893
Publisher: Dover Publications
Publication: February 20, 2013
Imprint: Dover Publications
Language: English

This text explores the methods of the projective geometry of the plane. Some knowledge of the elements of metrical and analytical geometry is assumed; a rigorous first chapter serves to prepare readers. Following an introduction to the methods of the symbolic notation, the text advances to a consideration of the theory of one-to-one correspondence. It derives the projective properties of the conic and discusses the representation of these properties by the general equation of the second degree. A study of the relationship between Euclidean and projective geometry concludes the presentation. Numerous illustrative examples appear throughout the text.

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This text explores the methods of the projective geometry of the plane. Some knowledge of the elements of metrical and analytical geometry is assumed; a rigorous first chapter serves to prepare readers. Following an introduction to the methods of the symbolic notation, the text advances to a consideration of the theory of one-to-one correspondence. It derives the projective properties of the conic and discusses the representation of these properties by the general equation of the second degree. A study of the relationship between Euclidean and projective geometry concludes the presentation. Numerous illustrative examples appear throughout the text.

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