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Cinderella, quadrilaterals and conics

2013/03/22 by Baralic, Djordje, Grbic, Branko, Zikelic, Djordje
#14N05 #65D17 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1303.5497

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.

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