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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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Product Reviews
★★★★★ 3
Looks nice, but rusted after 6 months of use
Color: Black
The caddy was aesthetically pleasing, with enough room to hold my dish soap, hand-soap and sponge as well as a brush. I really love how it looks, but only after 6 months of using this, the wires in the holder is already rusted. It looks nice but not really of good quality.
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Reviewed in the United States on February 2, 2026
★★★★★ 5
Works as expected
Color: Mattle Black
It does exactly what it is supposed to do. No water collection on the sink and hold several of my kitchen cleaning items. It holds 3 sink stoppers a sponge and a scrubbers and a soap dispenser.
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Reviewed in the United States on March 26, 2026
★★★★★ 5
Great Value
Color: Silver Grey
Well constructed and looks great. Drains water quickly fits perfect on the sink. Easy to clean. N8ce little product.
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Reviewed in the United States on February 16, 2026
★★★★★ 5
Does the job
Color: Mattle Black
Kinda cool and does the job and cheap. Nice product
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Reviewed in the United States on April 2, 2026
★★★★★ 4
works well and sturdy
Color: Silver
work well, keep my sink from getting "slimy" corners and soap buildup
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Reviewed in the United States on May 27, 2026
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