Παρασκευή 26 Ιουνίου 2026

FOUR POINTS ON THE EULER LINE

Problem by Antreas Hatzipolakis
Solution by Francisco Javier García Capitán
 FOUR POINTS ON THE EULER LINE

ETC LISTINGS

X(72698)

X(72699)

X(72700)

X(72701)

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ETC

X(72981) = X(2)X(1074)∩X(3)X(10) Barycentrics    (a^2-b^2-c^2)*(2*a^5-a^4*b-2*a^3*b^2+2*a^2*b^3-b^5-a^4*c+4*a^3*b*c-2*a^2*b^2*c-b^4*c-2*a^3...

  • EUCLID 4404
  • HOMOTHETIC TRIANGLES and EULER LINES
    Theorem 1. Let ABC be an equilateral triangle and P a point. The Euler lines of the triangles PBC,PCA,PAB are concurent.Denote the point ...
  • ANOPOLIS CIRCLE
    Let ABC be a triangle. Denote: (N1),(N2), (N3) = the NPCs of IBC, ICA, IAB, resp. (12), (13) = the reflections of (N1) in BI, CI, resp. ...