HYACINTHOS 11037

Dear Hyacinthians,


here are 2 unrelated topics
just to break the relative silence

1)
The parallel lines through A, B and C to the sides B'C', C'A' and
A'B' of the cevian triangle of P(u : v : w) form a triangle A*B*C*
homothetic with A'B'C'

==> The perspector Q is (u^2(v + w)... + cyclic)

==> Here are some couples P-Q from the ETC

1-42, 2-2, 3-418, 4-25, 6-3051, 7-57, 8-200, 69-394
75-321, 100-55, 110-84, 264-324, 366-367, 651-222
653-196, 1113-25, 1114-25, 1370-455

==> All points on the Steiner circumconic have perspector = centroid

2) Did anybody notice already that X(1962) is the centroid of the
incentral triangle ?


Greetings from Bruges

Eric Danneels