Παρασκευή 11 Ιανουαρίου 2013

ORTH. PROJECTIONS OF MORLEY TRIANGLE VERTICES -1

Let A'B'C' be the Morley 1st Triangle.

Denote

A'b, A'c = the orthogonal projections of A' on AB', AC', resp.

B'c, B'a = the orthogonal projections of B' on BC', BA', resp.

C'a, C'b = the orthogonal projections of C' on CA', CB', resp.

1. A'b,A'c, B'c, B'a, C'a, C'b are concyclic (??).

2. The Euler Lines of A'AbAc, B'B'cB'a, C'C'aC'b are concurrent (??).

Antreas P. Hatzipolakis, 11 jan. 2012


-

Δεν υπάρχουν σχόλια:

Δημοσίευση σχολίου

Εγγραφή σε: Σχόλια ανάρτησης (Atom)

CYCLOLOGIC

Let ABC be a triangle Denote 1. Oa, Ob, Oc = the circumcenters of HBC, HCA, HAB, resp. ABC, OaObOc are cyclologic, since Oa, Ob, Oc...

  • EUCLID 4404
  • ETC
    X(5459) Let ABC be a triangle, let A', B', C' be the midpoints of BC, CA, AB. Let L_a be the perpendicular through A' ...
  • 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 ...