Please use this identifier to cite or link to this item:
https://rda.sliit.lk/handle/123456789/3637| Title: | On Ptolemy’s Theorem and Related Derivatives |
| Authors: | Amarasinghe, I.S |
| Keywords: | Cyclic quadrilaterals Equilateral triangles Mathe matical logic Perpendiculars Similar triangles |
| Issue Date: | 1-Nov-2023 |
| Publisher: | Faculty of Humanities and Sciences, SLIIT |
| 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. |
| Series/Report no.: | Proceedings of the 4th SLIIT International Conference on Advancements in Sciences and Humanities; |
| 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. |
| URI: | https://rda.sliit.lk/handle/123456789/3637 |
| ISSN: | 2783-8862 |
| Appears in Collections: | Proceedings of the SLIIT International Conference on Advancements in Science and Humanities2023 [ SICASH] |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 331-337 On Ptolemys.pdf | 1.63 MB | Adobe PDF | View/Open |
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