The Axioms Of Descriptive Geometry
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The Axioms Of Descriptive Geometry
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Author : Alfred North Whitehead
language : en
Publisher:
Release Date : 1960
The Axioms Of Descriptive Geometry written by Alfred North Whitehead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Geometry categories.
The Axioms Of Descriptive Geometry
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Author : Alfred North Whitehead
language : en
Publisher:
Release Date : 1999
The Axioms Of Descriptive Geometry written by Alfred North Whitehead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
The Axioms Of Descriptive Geometry
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Author : A. N. Whitehead
language : en
Publisher: Forgotten Books
Release Date : 2015-06-25
The Axioms Of Descriptive Geometry written by A. N. Whitehead and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-25 with Mathematics categories.
Excerpt from The Axioms of Descriptive Geometry This tract is written in connection with the previous tract, No.4 of this series, on Projective Geometry, and with the same general aims. In that tract, after the statement of the axioms, the ideas considered were those concerning harmonic ranges, projectivity, order, the introduction of coordinates, and cross-ratio. In the present tract, after the statement of the axioms, the ideas considered are those concerning the association of Projective and Descriptive Geometry by means of ideal points, point to point correspondence, congruence, distance, and metrical geometry. It has been my object in both tracts to extend the investigations just far enough to assure the reader that the whole of Geometry is really secured by the axioms stated. My hopes for a comparative freedom from typographical errors are based upon my experience of the excellence of the University Press. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com 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.
Axioms Of Descriptive Geometry
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Author : A. N. Whitehead
language : en
Publisher:
Release Date : 2019
Axioms Of Descriptive Geometry written by A. N. Whitehead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
No 5 The Axioms Of Descriptive Geometry
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Author : A. N. Whitehead
language : en
Publisher:
Release Date : 2023-07-18
No 5 The Axioms Of Descriptive Geometry written by A. N. Whitehead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-18 with History categories.
The Axioms Of Descriptive Geometry
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Author : Alfred North Whitehead
language : en
Publisher:
Release Date : 1971
The Axioms Of Descriptive Geometry written by Alfred North Whitehead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Geometry, Descriptive categories.
The Axioms Of Descriptive Geometry Scholar S Choice Edition
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Author : Alfred North Whitehead
language : en
Publisher: Scholar's Choice
Release Date : 2015-02-19
The Axioms Of Descriptive Geometry Scholar S Choice Edition written by Alfred North Whitehead and has been published by Scholar's Choice this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-19 with categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Axioms Of Descriptive Geometry Scholar S Choice Edition
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Author : Alfred North Whitehead
language : en
Publisher: Scholar's Choice
Release Date : 2015-02-08
The Axioms Of Descriptive Geometry Scholar S Choice Edition written by Alfred North Whitehead and has been published by Scholar's Choice this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-08 with categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Axioms Of Projective Geometry
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Author : Alfred North Whitehead
language : en
Publisher:
Release Date : 1906
The Axioms Of Projective Geometry written by Alfred North Whitehead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1906 with Axiomas categories.
The Axioms Of Projective Geometry
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Author : A N Whitehead
language : en
Publisher:
Release Date : 2019-06-15
The Axioms Of Projective Geometry written by A N Whitehead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-15 with categories.
IN this tract only the outlines of the subject are dealt with.Accordingly I have endeavoured to avoid reasoning dependent upon the mere wording and on the exact forms of the axioms (which can be indefinitely varied), and have concentrated attention upon certain questions which demand consideration however the axioms are phrased.Every group of the axioms is designed to secure the deduction of a certain group of properties. For the most part I have stated without proof the leading immediate consequences of the various groups. Also I have ignored most of the independence theorems, as being dependent upon mere questions of phrasing, and have only investigated those which appear to me to embody the essence of the subject; though, as far as I know, no formal line can be drawn between these two classes of theorems.But there is one group of deductions which cannot be ignored in any consideration of the principles of Projective Geometry. I refer to the theorems, by which it is proved that numerical coordinates, with the usual properties, can be defined without the introduction of distance as a fundamental idea. The establishment of this result is one of the triumphs of modern mathematical thought. It has been achieved by the development of one of the many brilliant geometrical conceptions which we owe to the genius of von Staudt. The definitions of distance and of congruence, and the proof of the existence of groups of 'congruence-transformations, ' are reserved for a subsequent tract upon Descriptive Geometry. But these questions are dependent upon the previous introduction of numerical coordinates.For a full consideration of the various logical and philosophical enquiries suggested by this subject, I must refer to Mr. Bertrand Russell's Principles of Mathematics. I need hardly say that the formal references in the sequel do not exhaust the extent of my obligations to him