On Ptolemy’s Theorem and Related Derivatives

Amarasinghe, I.S

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DC Field	Value	Language
dc.contributor.author	Amarasinghe, I.S	-
dc.date.accessioned	2024-01-23T11:09:19Z	-
dc.date.available	2024-01-23T11:09:19Z	-
dc.date.issued	2023-11-01	-
dc.identifier.citation	Indika Shameera Amarasinghe. (2023). On Ptolemy’s Theorem and Related Derivatives. Proceedings of SLIIT International Conference on Advancements in Sciences and Humanities, 1-2 December, Colombo, pages 302-308.	en_US
dc.identifier.issn	2783-8862	-
dc.identifier.uri	https://rda.sliit.lk/handle/123456789/3637	-
dc.description.abstract	In this paper an Euclidean Geometric proof is presented for the Ptolemy’s Theorem of cyclic quadrilaterals by using a generalized identity with respect to a cevian of a triangle. Furthermore, a proof for the converse of the Ptolemy’s Theorem is also presented, while adducing some significant applications, new corollaries and lemmas of Ptolemy’s Theorem and its converse.	en_US
dc.language.iso	en	en_US
dc.publisher	Faculty of Humanities and Sciences, SLIIT	en_US
dc.relation.ispartofseries	Proceedings of the 4th SLIIT International Conference on Advancements in Sciences and Humanities;	-
dc.subject	Cyclic quadrilaterals	en_US
dc.subject	Equilateral triangles	en_US
dc.subject	Mathe matical logic	en_US
dc.subject	Perpendiculars	en_US
dc.subject	Similar triangles	en_US
dc.title	On Ptolemy’s Theorem and Related Derivatives	en_US
dc.type	Article	en_US
dc.identifier.doi	https://doi.org/10.54389/HBZJ1870	en_US
Appears in Collections:	Proceedings of the SLIIT International Conference on Advancements in Science and Humanities2023 [ SICASH]

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