An acute-angled triangle PQR is inscribed in a circle with centre O.
S is the intersection of the bisector of P with QR
the perpendicular to PO through S meets the line PR in a point W interior to the segment PR.
***Source: A problem appearing in the Italian Mathematical Olympiad, 1995
(In reply to re: Solution
Yeah I was going to point that out. With GSP it didn't seem to matter, so I didn't bother worrying about the size of the angles or where W ends up in the proof.
Posted by Jer
on 2015-04-19 21:15:20