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X(1), X(4), X(7), X(57), X(65), X(196), X(226), X(1439), X(3668)

vertices of the intouch triangle

other points below

Geometric properties :

For any point M on K033 [resp. K964] the anticevian triangle of M is perspective to the 2nd [resp. 3rd] extouch triangle and the locus of the perspector is K880 = pK(X37, X329) [resp. K963 = pK(X1427, X5932)]. See ETC, preamble of X(8856).

K964 meets the line at infinity at the same points as K343. The remaining common points are A, B, C, X(1) and X(57) counted twice on the conic (C) also passing through X(9), X(19).

K964 meets the circumcircle at the same points as the cubic (K) = pK(X6, P) where P = X(16461) is the common point of the lines {1,394}, {2,955}, {20,145}, etc. The three remaining common points lie on (L) passing through X(1), X(6).