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Description
Introduction to Non-Euclidean GeometryOne of the first college level texts for elementary courses in non Euclidean geometry, this concise, readable volume is geared toward students familiar with calculus. A full treatment of the historical background explores the centuries long efforts to prove Euclid's parallel postulate and their triumphant conclusion. Numerous original exercises form an integral part of the book. Topics include hyperbolic plane geometry and hyperbolic plane
One of the first college-level texts for elementary courses in non-Euclidean geometry, this concise, readable volume is geared toward students familiar with calculus. A full treatment of the historical background explores the centuries-long efforts to prove Euclid's parallel postulate and their triumphant conclusion. Numerous original exercises form an integral part of the book.Topics include hyperbolic plane geometry and hyperbolic plane trigonometry, applications of calculus to the solutions of some problems in hyperbolic geometry, elliptic plane geometry and trigonometry, and the consistency of the non-Euclidean geometries. Extensive appendixes offer background information on the foundation of Euclidean geometry, circular and hyperbolic functions, the theory of orthogonal circles and allied topics, and the elements of inversion.
Binding Type: Paperback
Publisher: Dover Publications
Published: 10/17/2012
ISBN: 9780486498508
Pages: 272
Weight: 0.60lbs
Size: 8.40h x 5.40w x 0.80d
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Product Reviews
★★★★★ 5
Fun toy
Color: Orange
My standard poodle loves this toy. It holds a charge for several hours and is well made
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on April 8, 2026
★★★★★ 5
Perfect toy for an active dog!
Color: Large size (7.9")
My dog absolutely loves this ball with handles! It’s quickly become one of his favorite toys, and he gets excited every time we bring it out to play.
The vibrant colors are a huge plus—they make it super easy to spot in the grass, which saves a lot of time during outdoor play sessions. The handles are great for interactive play too, especially for tugging and tossing.
I’m really impressed with how well it’s holding up. Even with constant pulling, tugging, and rough use, it’s remained durable and hasn’t shown any signs of wearing out.
Overall, I’m very happy with this purchase—and if my dog could write reviews, it would definitely get his paw stamp of approval! 🐾
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Reviewed in the United States on May 24, 2026
★★★★★ 5
Not for strong chewers!
Color: Large size (7.9")
I have an English Springer Spaniel who is 1.5 yrs. She had this torn apart within the first 5 minutes. This is not for strong chewers!
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Reviewed in the United States on February 25, 2026
★★★★★ 5
Durable and fun
Color: Large size (7.9")
Pup loves this toy.
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Reviewed in the United States on May 16, 2026
★★★★★ 3
Great idea poor construction
Color: Large size (7.9"), Color: Large size (7.9")
Great for a dog that likes tug and fetch but the seams are not strong so it ripped fast not from tug but my dogs teeth. I sewed it once since we loved playing with it but it didnt last. Other seams opened. The seams opened in the ball part not by the handles. Less seams and stronger ones would make it 5 star. Im trying a different brand.
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Reviewed in the United States on May 6, 2026