If you have a line and a point not on the line in hyperbolic geometry you can draw infinitely many lines that pass through the point and don’t intersect the other line as supposed to just one in Euclidean geometry or none in spherical geometry
Ok , but the approach is much more general . a Euclidean-geometry establishes how a line has a bounded limit in the plane. Here, for example, the isomorphism of $S^{n}\times{} R^{2}$ is studied. But in non-Euclidean geometries the lines do not coincide with $S^{n}$ , rather it is "projective" with $S^{4}$ (as if instead of lines we were projecting a genus $g$)
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I feel dumb now
@@SirBeYou what happened u
I explain this in my geometry class just so they can see there are others than just flat space.
that's the greatest story I've ever heard. can you tell it again?
@@sumdumbmick let’s try the surface of the earth as a starter
when you think Euclid wasn't aware of the shape of an amphora...
drive.google.com/file/d/1UxvspGOq7w5UzBHWGWLqzw80tbwR5KpN/view?usp=drive_link
This guy sounds just like Mark Rober
yes !
Bro non Euclidean spacetime
Cool
Pringles chips!?
Huh I was just thinking about this today haha
If you have a line and a point not on the line in hyperbolic geometry you can draw infinitely many lines that pass through the point and don’t intersect the other line as supposed to just one in Euclidean geometry or none in spherical geometry
Ok , but the approach is much more general . a Euclidean-geometry establishes how a line has a bounded limit in the plane. Here, for example, the isomorphism of $S^{n}\times{} R^{2}$ is studied. But in non-Euclidean geometries the lines do not coincide with $S^{n}$ , rather it is "projective" with $S^{4}$ (as if instead of lines we were projecting a genus $g$)
FIRST