What’s non-Euclidean geometry?

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I never got beyond calculus in school, and I’ve heard this term thrown around by smart math and science people bit have no clue what it means or why it’s special.

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Anonymous 0 Comments

Eclidean geometry deals with planes, like drawing angles on a sheet of paper. Other geometries deal with drawing them on a sphere or a saddleback (hyperbolic).

When you draw 90° angles on a paper you’ll be pointing back at the angle you started after 4 times (a square). On a sphere, think of the earth, you can start at the north pole, go to the equator, turn 90°, ride the equator for a quarter of it, turn 90° again and go back to the north pole… Just turn 90° a third time and you’ll be pointing back to where you started.

One geometry sums to 360° the other just to 270°. But always with right angles and forming a closed figure.

Also on a sphere, two parallels meet.

I hope you get an idea how eclidean geometry differs from others (there are many more “rules” if you wanna dive a bit deeper).

Also, of course, a smaller square can be drawn on the surface of the earth, like your room. Also, two parallels at those sizes don’t meet xD

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