Euclidean Geometry: The study of geometry on a flat, two-dimensional plane, Parallel lines-lines that never intersect and are always the same distance apart., Here the angles of a triangle always add up to 180 degrees, Spherical Geometry: A type of geometry that takes place on the surface of a sphere, where "lines" are great circles, True parallel lines do not exist because all lines eventually intersect., Here, the angles of a triangle can exceed 180 degrees when added.,

Euclidean vs spherical geometry

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