Common chord equal to distance between centers

We solve a problem of compass and ruler construction, proposed by Valeriu Valerica Dicu

Problem. Construct two circles with given radii $u$ and $v$ such that the centers and the intersection points are the same distance apart.

PDF: Common chord equal to distance between centers

A construction of the inverse of circumcevian triangles

The concept of inverse triangles is introduced in $ETC$ in the preamble above X(42005), by Clark Kimberling and Peter Moses, where we can find the cases of cevian and anticevian triangles.

Circumcevian triangles and their inverses are treated in  the preamble just before X(43344). 

However a construction of these triangles is missing at the moment.

 PDF: A construction of the inverse of circumcevian triangles