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X(194), X(695), X(699), X(732), X(1691), X(4027), X(11606), X(14885), X(32618), X(32619), X(39641), X(39642)

X(39641), X(39642) are the imaginary foci of the Brocard inellipse, on the Brocard axis and the (green) Kiepert hyperbola

vertices of the cevian triangle of X(6)

infinite points of pK(X6, X732)

points of pK(X6, X698) on (O)

Geometric properties :

K1283 is the isogonal transform of K828.

It is a circular cubic with singular focus F, the inverse of X(14691) in the circumcircle, a point on the line {39, 83}.

F = a^2 (-a^6 b^6-a^4 b^8+a^8 b^2 c^2+2 a^4 b^4 c^4+a^2 b^6 c^4-a^6 c^6+a^2 b^4 c^6-b^6 c^6-a^4 c^8) : : , SEARCH = 0.6200673665086216.

K828 and K1283 meet at A, B, C, X(39641), X(39642), the circular points at infinity and two other points Q1, Q2. These points are isogonal conjugates on the line (L) passing through {511, 694, 3229} and on its isogonal transform (C), a circum-conic passing through {98, 385, 3225}.

K1283 meets the Kiepert hyperbola at A, B, C, X(11606), X(39641), X(39642).

K1283 meets the Jerabek hyperbola at A, B, C, X(695), X(32618), X(32619).