Dear Clark and other Hyacinthists
as I've seen that the very remarkable last version of ETC is full of
transformations with names of flowers (mimosa) and stars (sometimes
Hyacinthists stars), I wonder if the following one - a very old one,
I think - is interesting enough to appear in the next version as
Begonia or Orion transformation :
Reflect P through the sidelines of the cevian triangle of P; you
allways get a triangle perspective with ABC.
If P is trilinear x:y:z, then the perspector is trilinear
x(1/y^2+1/z^2-1/x^2+ 2 cos A/y/z) :...
Some associated pairs :
(1,35) (2,69) (4,24) (7,57) (99,249) (100,59) (110,250)...
as I've seen that the very remarkable last version of ETC is full of
transformations with names of flowers (mimosa) and stars (sometimes
Hyacinthists stars), I wonder if the following one - a very old one,
I think - is interesting enough to appear in the next version as
Begonia or Orion transformation :
Reflect P through the sidelines of the cevian triangle of P; you
allways get a triangle perspective with ABC.
If P is trilinear x:y:z, then the perspector is trilinear
x(1/y^2+1/z^2-1/x^2+ 2 cos A/y/z) :...
Some associated pairs :
(1,35) (2,69) (4,24) (7,57) (99,249) (100,59) (110,250)...
Friendly. Jean-Pierre Ehrmann
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