Question

Compare and contrast Euclidean geometry and spherical geometry. Be sure to include these points:

1. Describe the role of the Parallel Postulate in spherical geometry.
2. How are triangles different in spherical geometry as opposed to Euclidean geometry?
3. Geodesics
4. Applications of spherical geometry

Answer 1

Euclidean geometry is what describes the shortest path between and 2 points on a sphere is a along a circle. lines are a process in euclidean geometry however in spherical geometry they are not. in Euclidean geometry the sum of any triangles angle measures must equal a 180 degrees.