Elliptic Geometry is a type of non-Euclidean geometry where the parallel postulate of Euclidean geometry does not hold. In this geometry, there are no parallel lines; instead, all lines eventually intersect. This concept can be visualized on the surface of a sphere, where great circles (like the equator) represent the lines, and any two great circles will intersect at two points.
In Elliptic Geometry, the sum of the angles in a triangle exceeds 180 degrees, which is a stark contrast to Euclidean triangles. This unique property leads to fascinating implications in various fields, including astronomy and navigation, where the curvature of space must be considered.