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1. Introduction 2. PLANE GEOMETRY 2.1 Propositions Depending Only on the Principle of Superposition 2.2 Propositions Which Are True for Restricted Figures 2.3 The Three Hypotheses 3. The Hyperbolic Geometry 3.1 Parallel Lines 3.2 Boundary-curves and Surfaces, and Equidistant-curves and Surfaces 3.3 Trigonometrical Formulae 4. The Elliptic Geometry 5. Analytic Non Euclidean Geometry 5.1 Hyperbolic Analytic Geometry 5.2 Elliptic Analytic Geometry 5.3 Elliptic Solid Analytic Geometry 6. Historical Notes 7. Project Gutenberg ”Small Print”
This book Non-Euclidean Geometry by Henry Manning is a classic book that introduces readers to new types of geometry where the usual Euclidean rules don’t always apply. It begins with the theorems common to Euclidean and non-Euclidean geometry, and then it addresses the specific differences that constitute elliptic and hyperbolic geometry. Major topics include hyperbolic geometry, single elliptic geometry, and analytic non-Euclidean geometry. The book also has math formulas and some history about how these ideas were discovered. It’s a helpful guide for anyone with some background in geometry who wants to learn about these alternative systems.
Title: Non-Euclidean Geometry by Henry Manning Publisher: Ginn and Company Year: 1901 Pages: 120 Type: PDF Language: English ISBN-10 #: 1418179116 ISBN-13 #: 978-1418179113 License: Public Domain Work Amazon: Amazon
The author Henry Parker Manning was an American mathematician. He is Ph.D., Assistant Professor of Pure Mathematics in Brown University and taught new math topics like non-Euclidean geometry. He wrote important math books and later studied old Egyptian math. He loved teaching and helping people learn hard math ideas.
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