| Authors: | Baralić, Đorđe Grbić, Branko Žikelić, Đorđe |
Title: | Theorems about quadrilaterals and conics | Journal: | International Journal of Computer Mathematics | Volume: | 91 | Issue: | 7 | First page: | 1407 | Last page: | 1421 | Issue Date: | 1-Jan-2014 | Rank: | M22 | ISSN: | 0020-7160 | DOI: | 10.1080/00207160.2013.844338 | Abstract: | We study quadrilaterals inscribed and circumscribed about conics and prove interesting theorems. Theorems are discovered by experimenting with dynamical geometry software. The Poncelet theorem for quadrilaterals is proved by elementary means together with Poncelet's grid property. |
Keywords: | conics | dynamical geometry software | projective geometry | quadrilaterals | Publisher: | Taylor & Francis | Project: | Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems |
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