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Description
InversionsIn this book, I. Ya. Bakel'man introduces inversion transformations in the Euclidean plane and discusses the interrelationships among more general mathematical concepts. The author begins by defining and giving examples of the concept of a transformation in the Euclidean plane, and then explains the "point of infinity" and the "stereographic projection" of the sphere onto the plane. With this preparation, the student is capable of applying the theory
In this book, I. Ya. Bakel'man introduces inversion transformations in the Euclidean plane and discusses the interrelationships among more general mathematical concepts. The author begins by defining and giving examples of the concept of a transformation in the Euclidean plane, and then explains the "point of infinity" and the "stereographic projection" of the sphere onto the plane. With this preparation, the student is capable of applying the theory of inversions to classical construction problems in the plane.The author also discusses the theory of pencils of circles, and he uses the acquired techniques in a proof of Ptolemy's theorem. In the final chapter, the idea of a group is introduced with applications of group theory to geometry. The author demonstrates the group-theoretic basis for the distinction between Euclidean and Lobachevskian geometry.
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4.7 ★★★★★
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Product Reviews
★★★★★ 5
Exactly as FP describes
Size: 27, Color: Deep End
Quality denim with the classic FP barrel or horseshoe leg. These are deep, dark blue rigid denim with a button fly. Hits at the ankle for me, but if you are shorter than 5'9" you may a get full length fit from these. I own these jeans in multiple colors and these are another FP win for me.
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Reviewed in the United States on January 7, 2026
★★★★★ 5
Perfect lightweight denim for summer in Florida!
Size: Large, Color: Union Blue, Size: Large, Color: Union Blue
LOVE EM. Insanely comfortable and lightweight quality denim with a kiss of stretch (perfect for summer). I pair them with tees, cropped tops, tanks or button up shirts. They’re adorable with sandals, sneaks, flats or flops. I went through about 5 pairs of jeans from different stores looking for the perfect combo of lightweight, comfy and stylish; these fit the bill. The distressed accents (a few rips and paint flecks) add interest without being over the top. The attached belt is such an adorable accent. Love love love these and will likely buy a second pair. True to size.
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Reviewed in the United States on May 16, 2026
★★★★★ 5
Super comfy, roomy, great quality!
Size: Medium, Color: Calypso Blue
These are so cute! They fit nicely, actually run a bit big but that’s probably intentional. I’m short, just a little over 5 feet tall and they are the perfect length for me. I got a medium, i normally wear some mediums and some larges. They are lightweight denim and great quality!
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Reviewed in the United States on April 6, 2026
★★★★★ 5
Sturdy fabric, well made.
Size: X-Large, Color: Royal Blue
I LOVE these pants!!!
Who buys pants online??? I NEVER do, but I took the chance band I absolutely adore them!! I’m 5”10’ 200lbs and they are so super comfy and look fabulous on me too. (If I do say so myself)
Wore them to the baseball game and got three compliments.
Might order another pair?
Seriously, they are well constructed. Good solid material with just enough stretch. The pockets are actual Pockets.
I seriously love them.
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Reviewed in the United States on May 23, 2026
★★★★★ 4
Great fit, good quality, horrible smell
Size: X-Large, Color: Calypso Blue, Size: X-Large, Color: Calypso Blue
Surprisingly decent for the low price. Love the details. Fit is good, but I sized up based on the measurements (I wear a 14 but bout the XL/16-18) and I like the looser fit if them. Would honestly rate 5 stars, but there was a HORRIFIC little fragrance pie thing stuck in the bag... I'm sure, based on how many people I walk past in the world stink of hyper-scented laundry detergent, that this is not a problem for some folks, but many people also have fragrance sensitivities, and this can be not just problematic for some, but dangerous. I had to wash these jeans 4 times before the odor went away enough for me to wear them. So that was disappointing, but otherwise, I'm a fan.
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Reviewed in the United States on June 7, 2026