Review article

How to generalize Thales’ Theorem?

Gunter Weiss ; Technical University of Dresden, Dresden, Germany
Franz Gruber ; University of Applied Arts Vienna, Vienna, Austria

Abstract

The classical theorem of Thales can be generalized – depending
on someones interpretation – in several elemental or abstract ways. This paper tries to classify such generalizations without claim of completeness. We structured this work in a way that is suitable for educational purposes by emphasizing aspects of mathematical research. Beside more or less known facts, we present new insights
and approaches to one of the most important theorems of geometry.

Keywords

Thales’ Theorem 3D; constrained motions; spatial kinematics; trihedron

Hrčak ID:

31434

URI

https://hrcak.srce.hr/31434

Publication date:

23.1.2009.

Article data in other languages: croatian german

Visits: 4.482 *