Jean-Pierre Ehrmann, Some geometric constructions,
Forum Geometricorum, 6 (2006) 327--334.
Abstract: We solve some problems of geometric construction. Some of them
cannot be solved with ruler and compass only and require the drawing of
a rectangular hyperbola: (i) construction of the Simson lines passing through
a given point, (ii) construction of the lines with a given orthopole, and
(iii) a problem of congruent incircles whose analysis leads to some remarkable
properties of the internal Soddy center.