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X(3), X(6), X(25), X(69), X(1611), X(1974), X(6353), X(40319), X(40320), X(40321), X(40322), X(40323), X(40324)

vertices of the tangential triangle

Geometric properties :

See explanations in pages K1162 and K1163.

K1164 meets the line at infinity at the same points as pK(X6, X40317).

K1164 meets the circumcircle at the same points as pK(X6, X40318).

The isogonal transform of K1164 is pK(X2, X193 ÷ X3).

The isotomic transform of K1164 is pK(X1502, X193 ÷ X184).

The SS{a -> √a}transform of K1164 is pK(X6, X5435) which passes through X(i) for i = 1, 8, 9, 56, 57.