SKU: 42383953908

Proof!: How the World Became Geometrical

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Proof!: How the World Became GeometricalAn eye opening narrative of how geometric principles fundamentally shaped our world On a cloudy day in 1413, a balding young man stood at the entrance to the Cathedral of Florence, facing the ancient Baptistery across the piazza. As puzzled passers by looked on, he raised a small painting to his face, then held a mirror in front of the painting. Few at the time understood what he was up to; even he barely had an inkling of what was at stake. But on

An eye-opening narrative of how geometric principles fundamentally shaped our world

On a cloudy day in 1413, a balding young man stood at the entrance to the Cathedral of Florence, facing the ancient Baptistery across the piazza. As puzzled passers-by looked on, he raised a small painting to his face, then held a mirror in front of the painting. Few at the time understood what he was up to; even he barely had an inkling of what was at stake. But on that day, the master craftsman and engineer Filippo Brunelleschi would prove that the world and everything within it was governed by the ancient science of geometry.

In Proof , the award-winning historian Amir Alexander traces the path of the geometrical vision of the world as it coursed its way from the Renaissance to the present, shaping our societies, our politics, and our ideals. Geometry came to stand for a fixed and unchallengeable universal order, and kings, empire-builders, and even republican revolutionaries would rush to cast their rule as the apex of the geometrical universe. For who could doubt the right of a ruler or the legitimacy of a government that drew its power from the immutable principles of Euclidean geometry?

From the elegant terraces of Versailles to the broad avenues of Washington, DC and on to the boulevards of New Delhi and Manila, the geometrical vision was carved into the landscape of modernity. Euclid, Alexander shows, made the world as we know it possible.

Binding Type: Hardcover
Publisher: Scientific American
Published: 09/10/2019
ISBN: 9780374254902
Pages: 320
Weight: 1.25lbs
Size: 9.10h x 6.10w x 1.20d

Review Citations: Publishers Weekly 05/27/2019 pg. 78
Kirkus Reviews 07/15/2019
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SKU: 42383953908

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KandiS1424
Bozeman, US
★★★★★ 2
Adorable but not Durable
Color: Blue
While this toy was super adorable and our 1 year old puppy loved it. The colors were bright and vivid, and it made fun wrinkling sounds he absolutely loved. However we were lucky if it lasted 20 minutes. Within minutes the crinkle paper was coming out and it basically fell apart, and he's not a destructive pup.
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Reviewed in the United States on February 13, 2026
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Maureen
Charlottesville, US
★★★★★ 5
Softness
Color: Pink
The pups love it. It’s soft and squishy and crinkly. Pretty colors too.
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Reviewed in the United States on February 21, 2026
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Bri Cash
Charlottesville, US
★★★★★ 5
A Must-Have for Toy-Loving Pups!
My Frenchie is obsessed with this Pawatoga bottle toy! The design is adorable and such a fun twist, but what impressed me most is how durable it’s been. He’s been chewing, tossing, and carrying it around non-stop, and it’s still holding up perfectly. The plush exterior is soft enough for him to snuggle, but the construction is sturdy enough to survive his play sessions. Bonus points for how easy it is to clean and how cute it looks when he’s “sipping” from it! If your dog loves plush toys but you’re tired of them falling apart in a day, this one’s definitely worth it. Stylish, tough, and totally pup-approved.
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Reviewed in the United States on August 14, 2025
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Yelyzaveta
Phoenix, US
★★★★★ 5
Perfect toy for a content project!
I got this toy for my content project, and it exceeded my expectations! Very well-made, durable, and safe for pets. My dog instantly loved it and started playing right away. It looks adorable in photos and videos. Highly recommend it for both playtime and creating great visual content.
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Reviewed in the United States on August 12, 2025
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sharonda skipwith
Phoenix, US
★★★★★ 5
Good for dogs that like to chew things
Loved it and did t feel a need to rip it open.
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Reviewed in the United States on January 25, 2026

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