Friday, February 26, 2021

1667. Taylor Circle of Tangential Triangle(Conway Circle of Medial Triangle)

2 comments:

  1. Barycentric equation fo \Gamma is: -a^2 x^2 + b^2 x^2 - 2 b c x^2 + c^2 x^2 - 2 a c x y - 2 b c x y - 2 c^2 x y + a^2 y^2 - b^2 y^2 - 2 a c y^2 + c^2 y^2 - 2 a b x z - 2 b^2 x z - 2 b c x z - 2 a^2 y z - 2 a b y z - 2 a c y z + a^2 z^2 - 2 a b z^2 + b^2 z^2 - c^2 z^2=0

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  2. Squared inradius is: 1/4 (s^2 + r^2), where s; semiperimeter and r: inradius.

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1987. Circumcenter On Euler Line

 Let H=X(4)-Orthocenter of ABC. A 1 B 1 C 1 cevian triangle of H. B1 A , C1 A are reflections of B1, C1 on A. L A , line through B1 A , C1...