What is Non-Euclidean Geometry?

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What is Non-Euclidean Geometry?

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Consider this: You’re at the North Pole. You go 10 miles South. You turn 90 degrees to the left, go 1 mile. You turn 90 degrees left, go 10 miles, and you end up back at the North Pole.

You can’t do that in Euclidian geometry. wrapping lines around the outside of a sphere like that (the sphere being the earth) breaks some of the things that Euclidian geometry is based on. For example, it’s possible to draw multiple lines on a globe connecting any two points. You can’t do that in Euclidian geometry.

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