A generalization of Ptolemy's theorem
The Teaching of Mathematics, XXVII (2024) no. 2, p. 104
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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.
Classification :
97G40, G44
Keywords: Ptolemy's theorem, van Schooten's theorem, cyclic quadrilateral.
Keywords: Ptolemy's theorem, van Schooten's theorem, cyclic quadrilateral.
Quang Hung Tran; Manh Dung Tran. A generalization of Ptolemy's theorem. The Teaching of Mathematics, XXVII (2024) no. 2, p. 104 . doi: 10.57016/TM-QDPS2407
@article{10_57016_TM_QDPS2407,
author = {Quang Hung Tran and Manh Dung Tran},
title = {A generalization of {Ptolemy's} theorem},
journal = {The Teaching of Mathematics},
pages = {104 },
year = {2024},
volume = {XXVII},
number = {2},
doi = {10.57016/TM-QDPS2407},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.57016/TM-QDPS2407/}
}
Cité par Sources :