Non-Euclidean Geometry by Henry Manning
Non-Euclidean Geometry - Table of Contents
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1. Introduction
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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
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3. The Hyperbolic Geometry
- 3.1 Parallel Lines
- 3.2 Boundary-curves and Surfaces, and Equidistant-curves and Surfaces
- 3.3 Trigonometrical Formulae
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4. The Elliptic Geometry
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5. Analytic Non Euclidean Geometry
- 5.1 Hyperbolic Analytic Geometry
- 5.2 Elliptic Analytic Geometry
- 5.3 Elliptic Solid Analytic Geometry
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6. Historical Notes
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7. Project Gutenberg "Small Print"
What You Will Learn in Non-Euclidean Geometry
Non-Euclidean Geometry by Henry Parker Manning offers an accessible yet rigorous breakdown of non-Euclidean axiomatic systems. Accessing this non euclidean geometry henry manning pdf allows students, educators, and mathematics historians to study Lobachevskian geometry, Riemannian spherical geometry, and hyperbolic triangles.
Written with great pedagogical clarity, this landmark non euclidean geometry book systematically examines the parallel axiom, horocycles, hypercycles, and area calculations in non-Euclidean planes without requiring advanced calculus.
Available as an open public-domain reference via non euclidean geometry henry manning pdf download, this classic work remains an essential primer for anyone exploring geometric foundations and space curvature.
Book Details & Specifications
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
About the Author: Henry Parker Manning
The author Henry Parker Manning
(1859–1956) was Associate Professor of Mathematics at Brown University, widely esteemed for his pioneer contributions to non-Euclidean geometry and geometry of four dimensions.
With a passion for making higher geometric concepts accessible to undergraduate students, his foundational treatise Non-Euclidean Geometry by Henry Parker Manning remains an enduring masterpiece in mathematical literature.
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