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Richard Evan Schwartz

The Poncelet grid

Given a convex polygon P in the projective plane we can form a finite “grid” of points by taking the pairwise intersections of the lines extending the edges of P. When P is a Poncelet polygon we show that this grid is contained in a finite union of ellipses and hyperbolas and derive other related geometric information about the grid.

Advances in Geometry, Walter de Gruyter

Print ISSN: 1615-715X
Volume: 7, 04/2007
Pages: 157 - 175

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