Friday, July 23, 2021

1742. Concyclic Centroids

2 comments:

  1. X(40)-Bevan point has same property. For P=X(40), Center of circle passing through G,Ga,Gb,Gc has first barycentric: (-a^6 + a^5 (b + c) - 4 a^3 (b - c)^2 (b + c) - (b - c)^4 (b + c)^2 - a^2 (b - c)^2 (b^2 - 4 b c + c^2) + a^4 (3 b^2 - 8 b c + 3 c^2) + a (b - c)^2 (3 b^3 + b^2 c + b c^2 + 3 c^3):...:...)

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1988. Circumcenters On Euler Line

  Let ABC be a triangle with P, Q are two points on Euler line of ABC. A',B',C' are inverse images of A,B,C through circle diame...