Παρασκευή 12 Απριλίου 2013

RADICAL AXES OF NPCs

Let ABC be a triangle and P,P* two isogonal conjugate points.

Denote:

Ra = the radical axis of the circles (NPC of PBC), (NPC of P*BC)

Rb = the radical axis of the circles (NPC of PCA), (NPC of P*CA)

Rc = the radical axis of the circles (NPC of PAB), (NPC of P*AB)

Ra, Rb, Rc are concurrent.

Antreas P. Hatzipolakis, 12 April 2013

-
Ετικέτες ,

Δεν υπάρχουν σχόλια:

Δημοσίευση σχολίου

Εγγραφή σε: Σχόλια ανάρτησης (Atom)

ETC pm

X(66901) = X(2) OF THE CEVIAN TRIANGLE OF X(290) Barycentrics    a^2*(a^2*b^2 - b^4 + a^2*c^2 - c^4)*(a^8*b^4 - 2*a^6*b^6 + a^4*b^8 - 2*a...

  • EUCLID 4404
  • PANAKIS' PSEUDOISOSCELES TRIANGLE
    Let ABC be a trangle and D1, D2, D3 the feet of the internal angle bisectors [D1D2D3 = the cevian triangle of the incenter I] Prove that th...
  • A PROOF OF MORLEY THEOREM
    Thanasis Gakopoulos - Debabrata Nag, Morley Theorem ̶ PLAGIOGONAL Approach of Proof Abstract: In this work, an attempt has been made b...