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Cubic curves in the triangle plane

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Abstract

The subject of this paper are two pencils of cubic curves that are the result of certain geometrical constructions in the triangle plane. One of them turns out to be the probably most significant pencil of anallagmatic cubics that are associated with triangle geometry. Both contain virtually all important single cubics, and other well known curves appear closely connected with them.

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Dedicated to Professor T.G. Ostrom on the occasion of his 80th birthday

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Pinkernell, G.M. Cubic curves in the triangle plane. J Geom 55, 141–161 (1996). https://doi.org/10.1007/BF01223040

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  • DOI: https://doi.org/10.1007/BF01223040

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