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Geometry Without Axioms; Or the First Book of Euclid's Elements: With Alterations and Familiar Notes; And an Intercalary Book in Which the Straight ... an Attempt to Get Rid of Axioms and Postula - Brossura
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Excerpt from Geometry Without Axioms; Or the First Book of Euclid's Elements: With Alterations and Familiar Notes; And an Intercalary Book in Which the Straight Line and Plane Are Derived From Properties of the Sphere; Being an Attempt to Get Rid of Axioms and Postulates; And Particularly to Establish the Theory of Parallel Lines W
XXVIII D in the First Book, where the conclusion rests entirely on the impossibility of a certain line ceasing to cut a series of other lines during a continuous motion, in a way incapable of being supplied by any succession of insulated positions as like wise in part of Prop. XII Cor. 8 of the Intercalary Book, and else where. On the whole therefore it may be an interesting question in what place a geometer would be warranted in saying, I could have proved these preliminaries, but it would have been necessary to disturb the order which directs that lines be treated of first and solids afterwards, and to introduce motion; for which reason it was considered better that they should be adopted without proof.'
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Geometry Without Axioms; Or the First Book of Euclid's Elements
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Geometry Without Axioms; Or the First Book of Euclid's Elements
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9780282248291
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Geometry Without Axioms; Or the First Book of Euclid's Elements
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Paperback. Condizione: New. Print on Demand. This book concerns itself with the study of physical shapes, surfaces, and lines; their definitions, connections, and properties. It begins with a focus on three -dimensional forms, or solids, and the relationships between their sides, angles, and edges. From there, it examines two -dimensional surfaces, and finally one -dimensional lines. Many of the definitions and theorems presented in this book would have been well -known to the ancient Greeks and Egyptians, but the author presents them in a classical, Euclidean style that is approachable to students new to geometry while also providing additional insights for experienced mathematicians. 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 9780282248291_0
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