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X(3), X(54), X(186), X(2070), X(3432), X(14979), X(21394), X(34418)

isogonal conjugate Q of X(3153), on the lines {54,1986}, {68,1658}, on the Jerabek hyperbola

isogonal conjugate P of X(39431), on the lines {54,186}, {49,52}, on the line at infinity

Geometric properties :

K466 is the locus of pivots of circular pKs passing through X(54). The locus of the isopivots is K1351. See K073, K112, K439 for instance.

K1351 is a focal cubic with singular focus X(21394).

K1351 is the isogonal transform of K1350 and the circumcircle-inverse of K465. See Table 73 for properties and other related cubics.