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X(2), X(4), X(6), X(523), X(525), X(542), X(648), X(1640), X(2501), X(6103), X(7473), X(14223), X(14999), X(35907), X(41392), X(41512)

X(60502) → X(60513), X(60590), X(60591)

cevians of X(648)

Geometric properties :

K1353 is an example of cubic pK(Ω, P) which passes through the centers X(2), X(4), X(6). See K1352 for further details.

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Other centers on K1353

P1 = (b-c) (b+c) (a^2+b^2-2 c^2) (-a^2+2 b^2-c^2) (-a^4+b^4-b^2 c^2+c^4) (-2 a^6+2 a^4 b^2-a^2 b^4+b^6+2 a^4 c^2-b^4 c^2-a^2 c^4-b^2 c^4+c^6) : : , SEARCH = -0.608532595447744

P2 = {(a-b) (a+b) (a-c) (a+c) (a^4+b^4-a^2 c^2-b^2 c^2) (a^4-a^2 b^2-b^2 c^2+c^4) (2 a^6-a^4 b^2-b^6-a^4 c^2+b^4 c^2+b^2 c^4-c^6) : : , SEARCH =0.739470344602296

P3 = {b^2 c^2 (-a^2+b^2-c^2) (a^2+b^2-c^2) (-2 a^6+2 a^4 b^2-a^2 b^4+b^6+2 a^4 c^2-b^4 c^2-a^2 c^4-b^2 c^4+c^6) : : , SEARCH =1.38960627519671