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Let P be a point in the plane of the reference triangle ABC and denote by
The following table gives the loci of P such that two of these triangles are parallelogic. Note the frequent occurence of the Kjp cubic K024 and see Table 22 for a generalization. true means the property is true for any P, L denotes the line at infinity, C denotes the circumcircle. 



Notes : the quartic Q1 is the isogonal transform of a conic. the quartic Q2 is the isogonal transform of the polar circle. 
