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K1279

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X(1), X(20), X(30), X(64), X(74), X(378), X(2935), X(4846), X(35237), X(50434), X(50480)

X(50727) → X(50731)

X(50480), X(50731) : isogonal conjugates of X(2935), X(50434)

excenters, cevians of X(50434)

X = X(50729) see below

Geometric properties :

K1279 is the locus of P whose antipedal triangle is perspective to the orthocentroidal-isogonic triangle. See K1278. The locus of the perspector is a complicated cubic.

K1279 is pK(X6, aX1514), where aX1514 is the anticomplement X(50434) of X(1514).

K1279 has one real asymptote parallel at X(50) to the Euler line. The tangential X of X(30) lies on the lines {X20,X254}, {X30,X50}, {X64,X155}, with SEARCH = 20.6970111460050.

The other asymptotes are real when ABC is obtusangle.