Elliptic geometry, a special case of
Riemannian geometry, is a
non-Euclidean geometry, in which, given a
line L and a
point p outside
L, there exists no line
parallel to
L passing through
p, as all lines in elliptic geometry intersect. 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°.