Cinderella, quadrilaterals and conics
Algebraic Geometry
2013-03-25 v1
Abstract
We study quadrilaterals inscribed and circumscribed about conics. Our research is guided by experiments in software Cinderella. We extend the known results in projective geometry of conics and show how modern mathematical software brings new ideas in pure and applied mathematics. Poncelet theorem for quadrilaterals is proved by elementary means together with Poncelet's grid property.
Cite
@article{arxiv.1303.5497,
title = {Cinderella, quadrilaterals and conics},
author = {Djordje Baralic and Branko Grbic and Djordje Zikelic},
journal= {arXiv preprint arXiv:1303.5497},
year = {2013}
}
Comments
15 pages, 16 figures