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On Ptolemy’s Theorem and Related Derivatives

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dc.contributor.authorAmarasinghe, I.S
dc.date.accessioned2024-01-23T11:09:19Z
dc.date.available2024-01-23T11:09:19Z
dc.date.issued2023-11-01
dc.description.abstractIn 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.identifier.citationIndika 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.doihttps://doi.org/10.54389/HBZJ1870en_US
dc.identifier.issn2783-8862
dc.identifier.urihttps://rda.sliit.lk/handle/123456789/3637
dc.language.isoenen_US
dc.publisherFaculty of Humanities and Sciences, SLIITen_US
dc.relation.ispartofseriesProceedings of the 4th SLIIT International Conference on Advancements in Sciences and Humanities;
dc.subjectCyclic quadrilateralsen_US
dc.subjectEquilateral trianglesen_US
dc.subjectMathe matical logicen_US
dc.subjectPerpendicularsen_US
dc.subjectSimilar trianglesen_US
dc.titleOn Ptolemy’s Theorem and Related Derivativesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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SLIIT International Conference on Advancements in Sciences and Humanities [SICASH] 2023