Across
- 3. Type of Geometry done on a convex surface
- 6. In Hyperbolic Geometry, parallel lines are not ____________ throughout
- 9. Shape that forms on a sphere when all angles are 90 degrees
- 11. Discoverer of Spherical Geometry
- 13. Discoverer of Hyperbolic Geometry
- 14. Lobachevsky was trying to prove Euclid's _________ postulate with his other postulates
- 15. In Hyperbolic Geometry, angles of a triangle sum up to ____ than 180 degrees
Down
- 1. Type of Geometry done on a concave surface
- 2. In Spherical Geometry, angles of a triangle sum up to ____ than 180 degrees
- 4. In Spherical Geometry, all (boundless) straight lines are of ______________
- 5. Riemann was trying to define n-___________ space
- 7. Shape that forms on a hyperbolic plane when all angles are 90 degrees
- 8. In both types of non-Euclidean geometry, Euclid's _____postulate is rejected
- 10. In Spherical Geometry, parallel lines always _______
- 12. In Hyperbolic Geometry, ________ parallel lines exist for a given line