A generalization of Ptolemy's theorem
The Teaching of Mathematics, XXVII (2024) no. 2, p. 104
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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.
@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 },
publisher = {mathdoc},
volume = {XXVII},
number = {2},
year = {2024},
doi = {10.57016/TM-QDPS2407},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.57016/TM-QDPS2407/}
}
TY - JOUR AU - Quang Hung Tran AU - Manh Dung Tran TI - A generalization of Ptolemy's theorem JO - The Teaching of Mathematics PY - 2024 SP - 104 VL - XXVII IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.57016/TM-QDPS2407/ DO - 10.57016/TM-QDPS2407 LA - en ID - 10_57016_TM_QDPS2407 ER -
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
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