Contents: Preface. 1. Spherical astronomy. 2. Spherical trigonometry. 3. Cesaros key triangles. 4. Planetary motion. 5. Astronomical photography. 6. Binary star orbit. Bibliography. Index. Spherical trigonometry is a branch of spherical geometry which deals with polygons on the sphere and the relationships between the sides and the angles. Spherical trigonometry is closely connected with the astronomy. Spherical geometry was developed by a number of mathematicians with an important text being written by Autolycus in Athens around 330 BC. Some claim that Autolycus based his work on spherical geometry on the moving sphere on an earlier work by Eudoxus. Whether or not this is the case there is no doubt that Autolycus was strongly influenced by the views of Eudoxus on astronomy. Spherical trigonometry involves the study of spherical triangles which are formed by the intersection of three great circle arcs on the surface of a sphere.
