The Elements Of Non Euclidean Plane Geometry And Trigonometry
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The Elements Of Non Euclidean Plane Geometry And Trigonometry
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Author : H. S. Carslaw
language : en
Publisher:
Release Date : 1960
The Elements Of Non Euclidean Plane Geometry And Trigonometry written by H. S. Carslaw and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with categories.
The Elements Of Non Euclidean Plane Geometry And Trigonometry
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Author : Horatio Scott Carslaw
language : en
Publisher:
Release Date : 1916
The Elements Of Non Euclidean Plane Geometry And Trigonometry written by Horatio Scott Carslaw and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1916 with Geometry categories.
The Elements Of Non Euclidean Plane Geometry And Trigonometry
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Author : Horatio Scott Carslaw
language : en
Publisher: Theclassics.Us
Release Date : 2013-09
The Elements Of Non Euclidean Plane Geometry And Trigonometry written by Horatio Scott Carslaw and has been published by Theclassics.Us this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09 with categories.
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1916 edition. Excerpt: ...angles y; and it can be constructed without that assumption. The associated triangle gives us the second side b of the required triangle. This argument depends upon the theorem proved in 41-3, that we can always find H(p) when p is given, and that proved in 45, that given IT(p), we can always find p. 37. Proper and Improper Points. In the Euclidean Plane two lines either intersect or are parallel. If we speak of two parallels as intersecting at "a point at infinity and assign to every straight line "a point at infinity," so that the plane is completed by the introduction of these fictitious or improper points, we can assert that any two given straight lines in the plane intersect each other. On this understanding we have two kinds of pencils of straight lines in the Euclidean Plane: the ordinary pencil whose vertex is a proper point, and the set of parallels to any given straight line, a pencil of lines whose vertex is an improper point. Also, in this Non-Euclidean Geometry, there are advantages to be gained by introducing fictitious points in the plane. If two coplanar straight lines are given they belong to one of three classes. They may intersect in the ordinary sense; they may be parallel; or they may be not-intersecting lines with a common perpendicular. Corresponding to the second and third classes we introduce two kinds of fictitious or improper points. Two parallel lines are said to intersect at a point at infinity. And every straight line will have two points at infinity, one corresponding to each direction of parallelism. All the lines parallel to a given line in the same sense will thus have a common point--a point at infinity on the line. Two not-intersecting lines have a common...
The Elements Of Non Euclidean Plane Geometry And Trigonometry Classic Reprint
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Author : Horatio Scott Carslaw
language : en
Publisher: Forgotten Books
Release Date : 2017-11-24
The Elements Of Non Euclidean Plane Geometry And Trigonometry Classic Reprint written by Horatio Scott Carslaw and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-24 with Mathematics categories.
Excerpt from The Elements of Non-Euclidean Plane Geometry and Trigonometry IN this little book I have attempted to treat the Elements of non-euclidean Plane Geometry and Trigonometry in such a way as to prove useful to teachers of Elementary Geometry in schools and colleges. Recent changes in the teaching of Geometry in England and America have made it more than ever necessary that the teachers should have some knowledge of the hypotheses on which Euclidean Geometry is built, and especially of that hypothesis on which Euclid's Theory of Parallels rests. The historical treatment of the Theory of Parallels leads naturally to a discussion of the non-euclidean Geometries and it is only when the logical possibility of these non-euclidean Geometries is properly understood that a teacher is entitled to form an independent Opinion upon the teaching of Elementary Geometry. 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.
The Elements Of Non Euclidean Plane Geometry And Trigonometry By H S Carslaw
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Author : H. S. Carslaw
language : en
Publisher:
Release Date : 2004-01
The Elements Of Non Euclidean Plane Geometry And Trigonometry By H S Carslaw written by H. S. Carslaw and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01 with categories.
The Elements Of Non Euclidean Plane Geometry And Trigonometry Etc
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Author : Horatio Scott CARSLAW
language : en
Publisher:
Release Date : 1916
The Elements Of Non Euclidean Plane Geometry And Trigonometry Etc written by Horatio Scott CARSLAW and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1916 with categories.
The Elements Of Non Euclidean Plane Geometry And Trigonometry
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Author : Florian Cajori
language : en
Publisher:
Release Date : 1916
The Elements Of Non Euclidean Plane Geometry And Trigonometry written by Florian Cajori and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1916 with Geometry categories.
The Elements Of Non Euclidean Plane Geometry And Trigonometry Illustrated
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Author : H. S. Carslaw
language : en
Publisher: Merchant Books
Release Date : 2007-05-01
The Elements Of Non Euclidean Plane Geometry And Trigonometry Illustrated written by H. S. Carslaw and has been published by Merchant Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-01 with Mathematics categories.
An Unabridged Printing, To Include Over 100 Figures - Chapters: The Parallel Postulate, And The Work Of Saccheri, Legendre, And Gauss - The Work Of Bolyai, Lobatschewsky, And Riemann, The Founders Of Non-Euclidean Geometries - The Hyperbolic Plane Geometry - The Hyperbolic Plane Trigonometry - Measurements Of Length And Area, With The Aid Of The Infinitesimal Calculus - The Elliptic Geometry - The Elliptic Plane Trigonometry - The Consistency Of The Non-Euclidian Geometries And The Impossibility Of Proving The Parallel Postulate - Index Of Authors - Comprehensive Subject Index
The Elements Of Non Euclidean Plane Geometry And Trigonometry
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Author : D. M. Y. Sommerville
language : en
Publisher:
Release Date : 2005
The Elements Of Non Euclidean Plane Geometry And Trigonometry written by D. M. Y. Sommerville and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
The Elements Of Non Euclidean Plane Geometry And Trigonometry Primary Source Edition
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Author : Horatio Scott Carslaw
language : en
Publisher: Nabu Press
Release Date : 2013-11
The Elements Of Non Euclidean Plane Geometry And Trigonometry Primary Source Edition written by Horatio Scott Carslaw and has been published by Nabu Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11 with categories.
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to ensure edition identification: ++++ The Elements Of Non-Euclidean Plane Geometry And Trigonometry; Longmans' Modern Mathematical Series Horatio Scott Carslaw Longmans, Green and co., 1916 Geometry, Non-Euclidean; Trigonmetry; Trigonometry