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X(1), X(2), X(86), X(106), X(323), X(347), X(1443), X(4511), X(16586), X(17923), X(18815), X(21907), X(35550), X(38822), X(39149), X(52368), X(73181), X(73182), X(73183), X(73184)

vertices of the cevian triangle of X(75)

Q1, Q2 on the circumcircle and on the de Longchamps axis, see Table 82

Geometric properties :

K1458 is the isogonal transform of K498 = psK(X31 x X80, X80, X1).

K1458 is invariant under the action of the two mappings F1 and F2, which are inverses of one another.

F1(x:y:z) = a (a^2 - b^2 + b c - c^2) y z (a x + b y - c z) (a x - b y + c z) : : .

F2(x:y:z) = a (a^2-b^2+b c-c^2) y z (a^2 c^2 x y-a b c^2 x y+b^2 c^2 x y-c^4 x y+a^2 b^2 x z-b^4 x z-a b^2 c x z+b^2 c^2 x z+a^4 y z-a^2 b^2 y z+a^2 b c y z-a^2 c^2 y z) : : .