Non-Euclidean Plane Geometry & Trigonometry by Horatio Scott Carslaw
Non-Euclidean Plane Geometry and Trigonometry - Table of Contents
1. THE PARALLEL POSTULATE, AND THE WORK OF SACCHERI, LEGENDRE AND GAUSS.
2. THE WORK OF BOLYAI, LOBATSCHEWSKY, AND RIEMANN, THE FOUNDERS OF THE NON-EUCLIDEAN GEOMETRIES.
3. THE HYPERBOLIC PLANE GEOMETRY.
4. THE HYPERBOLIC PLANE TRIGONOMETRY.
5. MEASUREMENTS OF LENGTH AND AREA, WITH THE AID OF THE INFINITESIMAL CALCULUS.
6. THE ELLIPTIC PLANE GEOMETRY.
7. THE ELLIPTIC PLANE TRIGONOMETRY.
8. THE CONSISTENCY OF THE NON-EUCLIDEAN GEOMETRIES AND THE IMPOSSIBILITY OF PROVING THE PARALLEL POSTULATE.
What You Will Learn in Non-Euclidean Plane Geometry and Trigonometry
The text book The Elements of Non-Euclidean Plane Geometry and Trigonometry by Horatio Scott Carslaw is introduction to non-Euclidean geometry and trigonometry. It explains different kind of geometry where the usual rules don’t always work. It talks about shapes like triangles and lines, and how to measure angles in this new kind of geometry. The book helps people understand these ideas in an easy and clear way.
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.
Book Details & Specifications
Title:
Non-Euclidean Plane Geometry & Trigonometry by Horatio Scott Carslaw
Publisher:
Longmans, Green and Co.
Year:
1916
Pages:
198
Type:
PDF
Language:
English
ISBN-10 #:
0486442225
ISBN-13 #:
978-0486442228
License:
Public Domain Work
Amazon:
Amazon
About the Author: Horatio Scott Carslaw
The author Horatio Scott Carslaw
was a mathematician from Scotland who worked in Australia. He taught math at the University of Sydney and studied how heat moves and other math topics. He wrote books to help students learn hard math ideas, like non-Euclidean geometry. He also played a big role in improving math education in Australia during his career.
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