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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
A big hit!
Our Rottie loves these! I wanted something like the Jolly Ball but that is soft for inside the house. She's had a lot of fun with this, picking it up, tossing it, playing soccer, etc.
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Reviewed in the United States on May 15, 2026
★★★★★ 1
Ball fading color on outside
Ball was delivered May 2, today is May 6 , blue color is fading on the outside of ball I am concerned about the product if it is healthy for my pup. I have two other balls smaller, purchased at local pet store and red and aqua colors did not change . Be aware..tried to email company with no luck….hopefully they will see this and respond
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Reviewed in the United States on May 6, 2026
★★★★★ 5
Great Toy for Endless Fun!
The JW Pet Hol-ee Roller Small is such a fantastic toy! It’s lightweight, flexible, and perfect for my pup to carry around and chew on. I love the design it’s durable enough to hold up to play but still soft on their teeth. You can even stuff it with treats to keep them entertained longer, which makes it super versatile. The small size is just right for my little dog, and the assorted colors are a fun bonus. This has quickly become one of their favorite toys! Highly recommend for small dogs who love to play and chew.
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Reviewed in the United States on September 3, 2025
★★★★★ 5
Emmy Lou's favorite ball ever!
Absolute favorite ball! Now have it in 2 colors and its always the go to
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Reviewed in the United States on April 26, 2026
★★★★★ 5
Great for playing fetch.
The hol-ee balls come in different sizes. I have an assortment. I love to stuff them with treats for my pet and watch him try to get them out. The holes make it easier for my dog to pick up the ball when we play fetch. I match the treat size with the hole size of each ball size. These are sturdy toys and can stand up to rough play.
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Reviewed in the United States on March 22, 2026
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