An Introduction To Projective Geometry (1908) - Softcover

Filon, Louis Napoleon George

Softcover

ISBN 10: 1166462943 ISBN 13: 9781166462949

Verlag: Kessinger Publishing, 2010

Inhaltsangabe

""An Introduction to Projective Geometry"" is a book written by Louis Napoleon George Filon and first published in 1908. The book provides a comprehensive introduction to projective geometry, a branch of mathematics that deals with the properties and invariants of figures that are preserved under projection. The book begins with an overview of the basic concepts of projective geometry, including points, lines, and planes, and their properties. It then explores the various types of projections, such as central and parallel projections, and their properties. The book also covers conic sections, duality, and the relationship between projective and Euclidean geometry. Throughout the book, Filon provides numerous examples and illustrations to help readers understand the concepts and applications of projective geometry. The book is aimed at students and mathematicians interested in geometry, and assumes a basic knowledge of algebra and geometry. Overall, ""An Introduction to Projective Geometry"" is a classic text in the field of mathematics, and remains a valuable resource for anyone interested in this fascinating branch of geometry.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

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Reseña del editor

This scarce antiquarian book is a selection from Kessinger PublishingA AcentsAcentsa A-Acentsa Acentss Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of intere

Reseña del editor

Conic Sections on modern lines. During recent years increasing space has been allowed, in University syllabuses and courses of instruction, to the more powerful and general projective methods, as opposed to the more special methods of wdiat is still known as Geometrical Conies. The line of cleavage between the two has, however, been sharply maintained, with the result that the already much overworked mathematical student has to learn his theory of Conic Sections three times over: (1) analytically; (2) according toE uclidean methods; (3) according toP rojective methods. The difficulty has been to reconcile theE uclidean and Projective definitions of the curve; in fact to bring in the focal properties into Projective Geometry at a sufficiently early stage. The practice has usually been, in order to pass from the projective to the focal definitions, to introduce the theory of involution. But the latter requires for its fullest and clearest treatment the employment of imaginary elements. It seems undesirable that the more fundamental focal properties of the conies, e.g. the sum or difference of the focal distances and the angles made by these with the tangent and normal, should appear to depend upon properties of imaginary points and lines, even though this might introduce greater rapidity of treatment. The University of London has recognized this, for, while admitting Projective Geometry into its syllabuses for the Final Examination for a Pass Degree, it has excluded involution. Many teachers have felt that this exclusion amounted to a rigorous enforcement of the line of cleavage mentioned above. In the present book the difficulty has been met, it is hoped, successfully.
(Typographical errors above are due to OCR software and don't occur in the book.)

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Details zur Ausgabe

• Verlag: Kessinger Publishing
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 1166462943
• ISBN 13: 9781166462949
• Einband: Tapa blanda
• Anzahl der Seiten: 264
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar