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Why is the sum of the interior angles in a triangle different in Euclidean geometry vs Riemannian geometry?

Sagot :

Answer:

n spherical geometry angles are defined between great circles. ... The sum of the interior angles of a triangle ALWAYS exceeds 180 degrees. In Euclidean Geometry, two lines that intersect form exactly one point. However, in Spherical Geometry, when there are two great circles, they form exactly two intersecting points.

Step-by-step explanation:

Answer:

in riemannian geometry there is only one parallel to the given line.euclud second postulate is a straight line of fininit length that can be continued continuously without bounds

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