ASU 483 All Soviet Union MO 1988 broken line with vertices on parabola
Source:
August 8, 2019
broken lineparabolacombinatorial geometrygeometryconics
Problem Statement
A polygonal line with a finite number of segments has all its vertices on a parabola. Any two adjacent segments make equal angles with the tangent to the parabola at their point of intersection. One end of the polygonal line is also on the axis of the parabola. Show that the other vertices of the polygonal line are all on the same side of the axis.