Elliptic space

Elliptic space is an example of a geometry in which Euclid's parallel postulate does not hold. Instead, as in spherical geometry, there are no parallel lines since any two lines intersect. However, unlike in spherical geometry, two lines are usually assumed to intersect at a single point (rather than two). Elliptic geometry has a variety of properties that differ from those of classical Euclidean plane geometry. For example, the sum of the interior angles of any triangle is always greater than 180°.

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