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10:10.19 | Ghel | Hello. |
10:10.22 | Liquid_Ink | Hello |
10:10.48 | Liquid_Ink | When drawing on a curved surface, it is possible to have a triangle with internal angles adding up to 270 degrees, right? |
10:10.54 | Liquid_Ink | TELL ME I'm RIGHT! |
10:11.55 | Ghel | Yes. |
10:12.48 | Ghel | One of the many equivalent definitions of non-Euclidean geometry is that the angles of triangles do not add up to 180 degrees. |
10:14.19 | Ghel | 270 degrees is easy on a sphere: have a right angle at the north pole with two straight lines leading down to the equator, then two right angles at the equator and a line connecting them. |
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