Πέμπτη 7 Νοεμβρίου 2024

PYTHAGOREAN THEOREM

From a New Criterion of a Cyclic Quadrilateral (NCCQ) to Pythagorean System –– An Alternative Study
Athanasios Gakopoulos, Farsala, Greece
Debabrata Nag, Kolkata, India

Gak_Nag_Pythagoras_07-11_2024
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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. ...