Problems+of+the+Week

Problem of the Week

March 29, 2010

Consider two points, //P// and //Q//, in the coordinate plane. Draw a line //l// through //P// and a line //m//, not parallel to //l//, through //Q//. Now let //l// and //m// rotate counterclockwise about //P// and //Q//, respectively, at the same speed (say one revolution per minute). At each moment, //l// and //m// intersect at some point.

What shape do these intersection points make when you consider them all at once?