Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc
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.
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.
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
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.
Join with us :-
© 2025 - 2026 Free Mathematics Books
.