Morley : correction
- Dear Hyacinthists,
I'm sorry but I've found some typos in my message about Morley's theorem.
The end of the quotation should be :
" Application : Morley's theorem :
k is the complex field :
angle A = 3a , angle B= 3b ,angle C=3c
f = rotation with center A, angle 2a
g = rotation with center B, angle 2b
h = rotation with center C, angle 2c
p = fix (fg) , q = fix (gh) , r = fix (hf) are the common points of the
As f^3.g^3.h^3 =1 ( because f^3, g^3, r^3 are products of reflexions w.r.t.
two sides), we get
p+jq+(j^2)r = 0 which means that p,q,r are the vertices of an equilateral
Please,accept my apologizes.
Very nice; don't you think so.
Friendly from France. Jean-Pierre