Is this a triangle?
Is this a triangle?
I would have asked this on a math community but I couldn't find an active one.
In a spherical geometry, great circles are "straight lines". As such, a triangle can have two or even three right angles to it.
But what if you go the long way around the back of the sphere? Is that still a triangle?
(Edit:) I guess it's a triangle! Fair enough; I can't think of what else you would call it. Thanks, everyone.
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Just noticed in euclidean geometry, for any two line segments touching at a point there is exactly one triangle you can draw, i.e. a triangle is uniquely described by any two of its legs. In spherical geometry, there are two choices for the third leg!
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