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Projective Pure Geometry
Hardcover
ISBN13: 9781025389240
Publisher: Tradd Street Press
Published: Feb 14 2026
Pages: 304
Weight: 1.33
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English
Projective Pure Geometry is a comprehensive and rigorous introduction to the principles of projective geometry, focusing on the synthetic approach rather than algebraic methods. Authored by Thomas F. Holgate, this work systematically explores the properties of geometric figures that remain invariant under projection. The text guides the reader through fundamental concepts such as the principle of duality, the theory of harmonic ranges, and the properties of conics and quadric surfaces.
By prioritizing the logical structure of geometry, Holgate provides a clear path for understanding the relationships between points, lines, and planes without the immediate necessity of coordinate systems. The book serves as both a historical benchmark in mathematical education and a timeless resource for those seeking a deep conceptual grasp of spatial relationships. Its clear definitions and step-by-step proofs make it an invaluable tool for students of mathematics and those interested in the evolution of geometric thought.
Throughout the work, the focus remains on the structural beauty of pure geometric deduction, ensuring Projective Pure Geometry stands as a significant contribution to the field of mathematical sciences.
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 may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.
This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.
As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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