THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
A generalization of Ptolemy's theorem
Quang Hung Tran and Manh Dung Tran

Abstract

In this paper, we introduce a novel generalization of the classic Ptolemy's theorem, focusing on its triangle version. We explore this generalization's implications and provide several applications that illustrate its utility in geometric problem-solving.

Creative Commons License

Keywords: Ptolemy's theorem; van Schooten's theorem; cyclic quadrilateral.

DOI: 10.57016/TM-QDPS2407

Pages:  104-111     

Volume  XXVII ,  Issue  2 ,  2024