Thursday, January 20, 2022

1764. A Type of Lemoine Circles

2 comments:

  1. Barycentric equation of the circle is: 4 a^2 b^2 c^2 x^2 + b^4 c^2 x^2 + b^2 c^4 x^2 + 2 a^4 c^2 x y +
    10 a^2 b^2 c^2 x y + 2 b^4 c^2 x y + 3 a^2 c^4 x y + 3 b^2 c^4 x y +
    c^6 x y + a^4 c^2 y^2 + 4 a^2 b^2 c^2 y^2 + a^2 c^4 y^2 +
    2 a^4 b^2 x z + 3 a^2 b^4 x z + b^6 x z + 10 a^2 b^2 c^2 x z +
    3 b^4 c^2 x z + 2 b^2 c^4 x z + a^6 y z + 3 a^4 b^2 y z +
    2 a^2 b^4 y z + 3 a^4 c^2 y z + 10 a^2 b^2 c^2 y z + 2 a^2 c^4 y z +
    a^4 b^2 z^2 + a^2 b^4 z^2 + 4 a^2 b^2 c^2 z^2=0

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