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X(4), X(6), X(39), X(69), X(141), X(1350), X(14994) infinite points of K102 or K141 A', B', C' : vertices of the pedal triangle of X(1350) reflections of A, B, C, X(39) about X(141) X(6)OAP points, see Table 53 other points below 

K805 is a central cubic with center X(141) and asymptotes parallel to those of the Grebe cubic K102. It meets the circumcircle at the same points as pK(X6, Z) where Z = X(14929) = X(5), X(183) /\ X(30), X(69) /\ X(99), X(550), etc. The reflection S = X(14994) of X(39) about X(141) lies on K805. S is also the midpoint of X(69) and X(76). It also contains the four X(6)OAP points i.e. the points P1, P2, P3, P4 whose AntiPedal triangle has Orthocenter X(6), see also Table 53.

These points also lie • on the cubic (K) = pK(X4 x X1350, X4) passing through X(4), X(371), X(372), X(1350), • on the rectangular hyperbola (H) passing through X(2), X(69), X(3413), X(3414), the reflection of X(39) about X(141). (H) is homothetic to the Kiepert hyperbola. 
