Non-Euclidean Geometry
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Thanks _ I teach a course on the philosophy of space and time and we discuss the work of Bolyai, Gauss, and Lobachevsky. I found your video perfect for giving non-math/physics majors an excellent introduction to noneuclidean geometries.
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Nice introduction to this topic!
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ahnRI PwonkaRAY
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you just CANT extend a segment indefinitely! It will reach the begining point!
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3:16 same thing if you wanna draw a triangle on a sphere. The sum of the angles will exceed 180 degrees
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Ia, Ia, Cthulhu Fhtagn!
9 months ago 3
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Nice video but you need a pop filter for your microphone to improve that annoying noise.
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@AnonymousWhitePerson I think you got that the other way around, actually; IF the Universe would be flat, THEN geometry would be Euclidean. Because our Universe is elliptically curved near regions where energy is present, geometry is Euclidean only on small scales. Beyond that, you use Riemannian.
So basically, Euclidean geometry approximates Riemannian for human scales, and allows kids to go through trig classes without getting nosebleeds. :)
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@AnonymousWhitePerson source?
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@StrikaAmaru
The Universe is Flat-Chested..
AnonymousWhitePerson 11 months ago 4
Very nice, concise, and succinct introduction to non-Euclidian geometry :-) Thank you.
Arycke 2 years ago 4