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X(4), X(6), X(25), X(69), X(1368), X(5254), X(6467), X(8770), X(15591), X(19583), X(40325), X(40326)

vertices of the orthic triangle

Geometric properties :

See explanations in pages K1162 and K1163.

K1165 meets the line at infinity at the same points as pK(X6, X12272).

K1165 meets the circumcircle at the same points as pK(X6, X40316).

The isogonal transform of K1165 is pK(gX5254, gX6467).

The isotomic transform of K1165 is pK(tX1196, X683).

The SS{a -> √a}transform of K1165 is pK(X3752, X7) which passes through X(i) for i = 1, 7, 8, 57, 1122, 3057.