Non-Euclidean Geometry

[QMPhilosophe]

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.

[QMPhilosophe]

Nice introduction to this topic!

[QMPhilosophe]

ahnRI PwonkaRAY

[davidkmarzagao]

you just CANT extend a segment indefinitely! It will reach the begining point!

[remyrj92]

3:16 same thing if you wanna draw a triangle on a sphere. The sum of the angles will exceed 180 degrees

[mgmirkin]

Ia, Ia, Cthulhu Fhtagn!

[MetaZoo22]

Nice video but you need a pop filter for your microphone to improve that annoying noise.

[heartlessvietboy]

Question Mathematics. That is where wisdom "lies". 

[ZachariasClub]

thank you! this is greatly helpful to me!

[Fayewn]

Thanks very informative and easy to understand! I'm still a little fuzzy on Hyperbolic but if I sit and think about it a bit I'll get it. Thanks again!

[AnonymousWhitePerson]

Euclidean Geometry is founded upon a faulty assumption that the Shape of the Universe is Flat.

[StephenRoddy]

@AnonymousWhitePerson source?

[StrikaAmaru]

@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. :)

[AnonymousWhitePerson]

@StrikaAmaru

The Universe is Flat-Chested..

[AnonymousWhitePerson]

Riemannian Geometry of Bernard Riemann is the one True Geometry.

This elliptical method is was used by Marcel Grossman to expalin Einstein's General Theory of Relativity and also employed by David Hilbert.

[Arycke]

Very nice, concise, and succinct introduction to non-Euclidian geometry :-) Thank you.

[Arycke]

Also, hearing poin care is like hearing ewe-ler for Euler :-) For further reference, it is pronounced Poin-car-ay :-) Cheers!

[jujuman333]

awesome video! very informative

[oldeyes]

Very nice compact introduction to Non-Euclidean Geometry, Thank you!

[richardbyronsmith]

Helpful. Thanks.