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X(6), X(25), X(32), X(393), X(1609), X(2207), X(14593), X(44077), X(60778), X(60779)

vertices of the cevian triangle of X(393)

vertices of the anticevian triangle of X(25)

points of pK(X2207, X2207) on (O)

Geometric properties :

K1357 is related to the quartic Q187. See also K1358.

It is the barycentric products X(25) x K045, X(4) x K176, X(6) x K621, X(19) x pK(X6, X92), X(393) x pK(X577, X2).

Points on K1357 :

X(60778) = X(393)-Ceva conjugate of X(14593), on the lines {5, 6}, {25, 59189}, {32, 14593}, etc.

X(60779) = barycentric quotient X(36417) ÷ X1609), on the lines {6, 39110}, {24, 254}, {25, 59189}, etc.