by Assoc. Prof N J Wildberger
Abstract: By combining ancient Greek thought about the basic theorems of geometry with the Cartesian approach of Fermat and Descartes, we may derive a
much more elementary, powerful and accurate version of trigonometry. This new
theory requires no special functions (ie. no transcendental circular
functions and their inverses), no tables or calculators, and extends Euclidean geometry to general fields. It cleanly separates the geometry of a
triangle from the mechanics of uniform motion around a circle.
This introductory talk will derive the basic laws of rational trigonometry,
explore some interesting applications, and show how this new approach yields
a completely unexpected dividend: a lovely three fold symmetry in planar geometry which changes our view about pretty well every aspect of the subject.
For More Information: Paul A. Pearce Email: P.Pearce@ms.unimelb.edu.au