




This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for...






Non-Euclidean Geometry is a mathematical treatise written by Henry Parker Manning. The book explores the concept of geometry beyond the traditional Euclidean geometry, which is based on the assumptions of flat space and parallel lines. Manning introduces the reader to non-Euclidean...

Non-Euclidean Geometry is now recognized as an important branch of Mathematics. Those who teach Geometry should have some knowledge of this subject, and all who are interested in Mathematics will find much to stimulate them and much for them to enjoy in the novel results and...


Non-Euclidean Geometry is now recognized as an important branch of Mathematics. Those who teach Geometry should have some knowledge of this subject, and all who are interested in Mathematics will find much to stimulate them and much for them to enjoy in the novel results and...

Non-Euclidean Geometry is now recognized as an important branch of Mathematics. Those who teach Geometry should have some knowledge of this subject, and all who are interested in Mathematics will find much to stimulate them and much for them to enjoy in the novel results and...

Non-Euclidean Geometry is now recognized as an important branch of Mathematics. Those who teach Geometry should have some knowledge of this subject, and all who are interested in Mathematics will find much to stimulate them and much for them to enjoy in the novel results and...
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Non-Euclidean Geometry is a book written by Henry Parker Manning which explores the concept of geometry beyond the traditional Euclidean framework. The book delves into the history and development of non-Euclidean geometry, including the works of Lobachevsky, Bolyai, and Riemann...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely...

1. INTRODUCTION 2. PANGEOMETRY Propositions Depending Only on the Principle of Superposition Propositions Which Are True for Restricted Figures The Three Hypotheses 3. THE HYPERBOLIC GEOMETRY Parallel Lines Boundary-curves and...