Spherical geometry is the geometry of shapes on the sphere’s surface. It is a type of non-Euclidean geometry that is unlike your everyday geometry of lines and flat planes. The paramount idea overlaying spherical geometry is that no lines are ever parallel. Thus, shapes like triangles are a bit obscure in appearance in spherical geometry as their internal angles add up to beyond 180 degrees. Spherical trigonometry, however, is quite similar to Euclidean trigonometry.