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X(1), X(2), X(6), X(20), X(25), X(64), X(69), X(159), X(200), X(269), X(1763), X(2138), X(2139), X(7097), X(13575), X(17742), X(40187), X(40188), X(40189), X(40190), X(40219), X(40220), X(40221), X(40222), X(40223), X(40224), X(40225), X(40226), X(40227)


cevians of X(69)

K169 is the isogonal pK with pivot the isotomic conjugate X(69) of the orthocenter. It is a member of the Thomson-Grebe pencil. See Table 13.

Its asymptotes are parallel to the Simson lines that pass through K.

K169 is the isotomic transform of pK(X76, X305).

It meets the line at infinity and the Steiner ellipse at the same points as pK(X2, X315) and pK(X2, X76) = K141 respectively.

The symbolic substitution SS{a -> √a} transforms K169 into K308. See also the associated K1162.