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?

March 29, 2010

Consider two points,

PandQ, in the coordinate plane. Draw a linelthroughPand a linem, not parallel tol, throughQ. Now letlandmrotate counterclockwise aboutPandQ, respectively, at the same speed (say one revolution per minute). At each moment,landmintersect at some point.What shape do these intersection points make when you consider them all at once?