Difference between revisions of "Spherical trigonometry"

Revision as of 03:06, 21 March 2016

Spherical trigonometry is the branch of spherical geometry that deals with the relationships between trigonometric functions of the sides and angles of the spherical polygons (especially spherical triangles) defined by a number of intersecting great circles on the sphere.

Applications

Spherical trigonometry is of great importance for calculations in astronomy, geodesy and navigation.

Origins

The origins of spherical trigonometry in Greek mathematics and the major developments in Islamic mathematics are discussed fully in History of trigonometry and Mathematics in medieval Islam.

Modern

The subject came to fruition in Early Modern times with important developments by John Napier, Delambre and others, and attained an essentially complete form by the end of the nineteenth century with the publication of Todhunter's text book Spherical trigonometry for the use of colleges and Schools.

This book is now readily available on the web.

The only significant developments since then have been the application of vector methods for the derivation of the theorems and the use of computers to carry through lengthy calculations.

See also

• Geometry
• Mathematics
• Sphere
• Spherical geometry

External links

• [https://en.wikipedia.org/wiki/Spherical_trigonometry Spherical trigonometry @ Wikipedia