this post was submitted on 14 May 2024
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[–] chonglibloodsport@lemmy.world 7 points 5 months ago

Not really. The Pythagorean theorem (or whomever you want to credit for it) assumes plane geometry. It’s not true in general.

Plane geometry is the invention that makes all of the math work. The earth is not a flat plane (not even close to flat pretty much anywhere). If you want to do Pythagorean-like calculations between cities on earth, for example, you’ll get a much more accurate result with spherical geometry operating on geodesics. Unfortunately, spherical triangles not obey the Pythagorean theorem!