An Elementary Course In Synthetic Projective Geometry - Tapa blanda

Lehmer, Derrick Norman

9781163082348: An Elementary Course In Synthetic Projective Geometry

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ISBN 10: 1163082341 ISBN 13: 9781163082348

Editorial: Kessinger Publishing, 2010

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""An Elementary Course In Synthetic Projective Geometry"" by Derrick Norman Lehmer is a comprehensive textbook that provides a thorough introduction to the principles and concepts of synthetic projective geometry. The book is designed for students who have a basic understanding of Euclidean geometry and are interested in exploring more advanced topics.The book begins with an overview of the basic concepts of projective geometry, including points, lines, and planes. It then progresses to more advanced topics such as conics, quadrics, and the cross-ratio. The author also covers the principle of duality, which allows for the transformation of points into lines and vice versa.Throughout the book, the author provides numerous examples and exercises to help students develop their understanding of the material. The exercises range from simple problems to more complex ones, and many of them include detailed solutions.One of the unique features of the book is its use of historical examples to illustrate the concepts. The author includes biographical sketches of prominent mathematicians who made significant contributions to the development of projective geometry, such as Desargues and Pappus.Overall, ""An Elementary Course In Synthetic Projective Geometry"" is an excellent resource for students who are interested in exploring the fascinating world of projective geometry. The book is well-written, easy to follow, and provides a solid foundation for further study in the field.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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This scarce antiquarian book is included in our special Legacy Reprint Series. In the interest of creating a more extensive selection of rare historical book reprints, we have chosen to reproduce this title even though it may possibly have occasional imperfections such as missing and blurred pages, missing text, poor pictures, markings, dark backgrounds and other reproduction issues beyond our control. Because this work is culturally important, we have made it available as a part of our commitment to protecting, preserving and promoting the world's literature.

Rese�a del editor

Engineering OJ statical WS ci( nces Library -471 PREFACE The following course is intended to give, in as simple a way as possible, the essentials of synthetic projective geometry. While, in the main, the theory is developed along the well-beaten track laid out by the great masters of the subject, it is believed that there has been a slight smoothing of the road in some places. Especially will this be observed in the chapter on I nvolution. The author has never felt satisfied with the usual treatment of that subject by means of circles and anharmonic ratios. A purely projective notion ought not to be based on metrical foundations. Metrical developments should be made there, as elsewhere in the theory, by the introduction of infinitely distant elements. The author has departed from the century-old custom of writing in parallel columns each theorem and its dual. He has not found that it conduces to sharpness of vision to try to focus his eyes on two things at once. Those who prefer the usual method of procedure can, of course, develop the two sets of theorems side by side ;the author has not found this the better plan in actual teaching. As regards nomenclature, the author has followed the lead of the earlier writers in English, and has called the system of lines in a plane which all pass through a point a pencil of rays instead of a bundle of rays, as later writers seem inclined to do.
(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 whilst digitally enhancing the aged text.

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