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math.MG2021
Triads of Conics Associated with a Triangle
Ronaldo Garcia, Liliana Gheorghe, Peter Moses +1
We revisit constructions based on triads of conics with foci at pairs of vertices of a reference triangle. We find that their 6 vertices lie on well-known conics, whose type we ana…
math.MG2021
A Web of Confocal Parabolas in a Grid of Hexagons
Peter Moses, Dan Reznik
If one erects regular hexagons upon the sides of a triangle , several surprising properties emerge, including: (i) the triangles which flank said hexagons have an isodynamic poi…
math.MG2021
Cramer-Castillon on a Triangle's Incircle and Excircles
Dominique Laurain, Peter Moses, Dan Reznik
The Cramer-Castillon problem (CCP) consists in finding one or more polygons inscribed in a circle such that their sides pass cyclically through a list of points. We study this…