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Answers for “如果球面不是欧几里得空间,为什么地球上的小三角形内角和可以接近 180°?”

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The sum of the angles of a triangle is exactly 180° in Euclidean geometry, greater than 180° in spherical (or elliptical/Riemannian) geometry, and less than 180° in hyperbolic geometry.

Conditions: The figure is a triangle.; The geometry is specified as Euclidean, spherical, or hyperbolic.