Browsing by Author "Amarasinghe, I.S"

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    On Ptolemy’s Theorem and Related Derivatives
    (Faculty of Humanities and Sciences, SLIIT, 2023-11-01) Amarasinghe, I.S
    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.