Excerpt from Projective Geometry
This interpretation is a concrete representation of our assumptions. Every proposition derived from the assumptions must be true of this system of triples. Hence none of the assumptions can be logically inconsistent with the rest; otherwise contradictory statements would be true of this system of triples.
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Seller: Forgotten Books, London, United Kingdom
Paperback. Condition: New. Print on Demand. This book offers a fresh and rigorous look at the foundations of geometry, a subject that has captivated mathematicians for centuries. It delves into the historical development of geometry, noting how it evolved beyond traditional deductive methods in the 19th century. The author emphasizes the need to re-establish the logical framework of geometry, highlighting the complexities of linear order and continuity. The book adopts a novel approach, focusing on general projective geometry ΓΆβ β a highly abstract and powerful system ΓΆβ β in its first volume, delaying the more complex issues of order and continuity for a second volume. This allows readers to grasp the fundamental concepts and theorems of projective geometry without being bogged down by technicalities. By studying projective geometry, readers gain a deeper understanding of its relationship to other geometrical disciplines like Euclidean and non-Euclidean geometries. The author uses both synthetic and analytic methods to illuminate the unifying principles of geometry, revealing the powerful connections between different branches of mathematics. This book serves as a valuable resource for students and scholars seeking a thorough grounding in the principles and methods of projective geometry. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330343876_0
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Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330343876
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Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330343876
Quantity: 15 available
Seller: Revaluation Books, Exeter, United Kingdom
Paperback. Condition: Brand New. 359 pages. 9.02x6.06x1.10 inches. This item is printed on demand. Seller Inventory # zk1330343875
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