Δευτέρα 16 Ιανουαρίου 2012

X56, X235


1. Let A1B1C1 be a triangle, A2B2C2 its antipodal triangle (=circumcevian of O), A3B3C3 the circumcevian triangle of I with respect the triangle A2B2C2 and A'B'C' the circumcevian triangle of I.


The triangles A'B'C', A3B3C3 are perspective.
Perspector (on the OI line) ?

2. Orthic Triangle Version:


Perspector (on the Euler line of ABC) ?

APH, 16 January 2012

1. X56
2. X235

Francisco Javier García Capitán
16 January 2012

-

Δεν υπάρχουν σχόλια:

Δημοσίευση σχολίου

Εγγραφή σε: Σχόλια ανάρτησης (Atom)

ETC

X(72934) = (name pending) Barycentrics    a ((a^2+b^2-c^2) (a^2-b^2+c^2) (a^9 b^3-a^8 b^4-3 a^7 b^5+3 a^6 b^6+3 a^5 b^7-3 a^4 b^8-a^3 b^9+...

  • 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. ...