From Math Images

Euclidean, Hyperbolic, and Elliptic Geometries

	Euclidean	Hyperbolic	Elliptic
Triangles	Angles must sum to exactly 180 degrees	Angles must sum to less that 180 degrees	Angles must sum to greater 180 degrees
Parallel Lines	There is only one line that is parallel to line l and passes through a point P	There are infinitely many lines that are parallel to line l and pass through a point P	There is no line that is parallel to line l and passes through a point P