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X(6), X(53), X(216), X(1249) midpoints of ABC |
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K307 is the locus of the poles of all pKs having the same asymptotic directions as the McCay cubic i.e. having three real asymptotes perpendicular to the sidelines of the Morley triangle. For example, with the poles X(53), X(216) we obtain the McCay orthic cubic K049, K096 respectively. The locus of the pivots is K080 and the locus of the isopivots is K026. See "Asymptotic Directions of Pivotal Isocubics" in the downloads page. The tangents at A, B, C to K307 concur at X(51), the centroid of the orthic triangle. K307 is also psK(X51, X2, X6) in Pseudo-Pivotal Cubics and Poristic Triangles. |
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