Dear Hyacinthians,

X(1358) is defined in the current ETC as the Brisse-transform

of X(101).

I would like to present a new remarkable property of this point

Let A'B'C' be the medial triangle of triangle ABC.

Consider the circle, different from the ninepointcircle, through B'

and C' touching the incircle. Let A* be the point where both circles

touch. Define B* and C* similarly.

X(1358) is the perspector of the triangles ABC and A*B*C*

Its barycentrics are ( (b-c)^2/(b+c-a) : cyclic.....)

If we replace the medial triangle by the orthic triangle we get a

new point S with similar barycentrics

S = ( (b-c)^2.(b+c-a)^3 : cyclic.....)

Greetings from Bruges

Eric Danneels