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Description
Foundations of Geometry: Euclidean, Bolyai-Lobachevskian, and Projective GeometryIn Part One of this comprehensive and frequently cited treatment, the authors develop Euclidean and Bolyai Lobachevskian geometry on the basis of an axiom system due, in principle, to the work of David Hilbert. Part Two develops projective geometry in much the same way. An Introduction provides background on topological space, analytic geometry, and other relevant topics, and rigorous proofs appear throughout the text. Topics covered by Part One
In Part One of this comprehensive and frequently cited treatment, the authors develop Euclidean and Bolyai-Lobachevskian geometry on the basis of an axiom system due, in principle, to the work of David Hilbert. Part Two develops projective geometry in much the same way. An Introduction provides background on topological space, analytic geometry, and other relevant topics, and rigorous proofs appear throughout the text.Topics covered by Part One include axioms of incidence and order, axioms of congruence, the axiom of continuity, models of absolute geometry, and Euclidean geometry, culminating in the treatment of Bolyai-Lobachevskian geometry. Part Two examines axioms of incidents and order and the axiom of continuity, concluding with an exploration of models of projective geometry.
Binding Type: Paperback
Publisher: Dover Publications
Published: 11/14/2018
ISBN: 9780486828091
Pages: 464
Weight: 1.40lbs
Size: 9.00h x 6.00w x 0.90d
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★★★★★ 5
Nice Addition to My Bookshelf
After Christmas my bookshelves were looking a little blah. Wanted something a little different so I thought I would try a statue. This is very nice. Looks like the picture. It's small. 6 inches. Have it sitting on top of some books. Good value for the money.
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Reviewed in the United States on February 28, 2022
★★★★★ 4
Size
Small but great size for office sets
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Reviewed in the United States on April 2, 2026
★★★★★ 5
Great for decorating
Very surprised by the quality! The statue’s very sturdy and has a little weight to it. Definitely not hollow on the inside. Very cute atop some books as decor!
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Reviewed in the United States on March 23, 2021
★★★★★ 3
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Reviewed in the United States on February 24, 2026
★★★★★ 5
Super cute gift idea!!!
I got this as a gift for my friend, it’s really cute and came in protective packaging! Just a bit smaller than expected but i still love it!
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Reviewed in the United States on March 9, 2021