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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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Projective Geometry, Vol. 1 (Classic Reprint)
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Paperback. Condizione: 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 ââ â a highly abstract and powerful system ââ â 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. Codice articolo 9781330343876_0
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