elliptic geometry
Elliptic geometry is a type of non-Euclidean geometry where the usual rules of parallel lines do not apply. In this geometry, all lines eventually intersect, meaning there are no parallel lines. This is often visualized on the surface of a sphere, where great circles (like the equator) represent straight lines.
In elliptic geometry, the sum of the angles in a triangle exceeds 180 degrees. This contrasts with Euclidean geometry, where the sum is always exactly 180 degrees. Elliptic geometry has applications in fields such as astronomy and navigation, where spherical models are essential for understanding the Earth's surface.