Abstract
Points on the line at infinity in the extended plane of a triangle ABC are discussed in terms of barycentric coordinates that are polynomials in the sidelengths a, b, c. Various properties of the line at infinity are discussed, including two theorems, with related conjectures, on polynomial representations of triangle centers that are at opposite ends of a diameter of the circumcircle—along with their isogonal conjugates on the line at infinity. Also considered are an equal-areas locus, symbolic substitution, and historical comments.
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