Spherical Geometry

Girard's Theorem - the relation between spherical excess and area

This link has a proof of this theorem, which we also proved in class as a group activity and as extra-credit homework: John Polking's Sphere Pages at Rice University

Spherical Pythagorean Theorem

The proof is homework, but the statement is here at Harvey Mudd

Stereographic Projection

Here is a page on this topic.

Study Questions on Spheres and Stereographic Projection

Study Questions

Vectors and the Sphere (also planes, etc)

Additional information on Spheres and Stereographic Projection

Links to Sources for Geometry of the Sphere

Vectors and the Sphere (also planes, etc)

445 Student Notes on the Sphere (at the bottom of the page; also some familiar notes on circles)