Previous: The Four-Vertex Theorem
Winding Numbers of Plane CurvesFor any point Q not on a curve X , we may determine the number of times the curve In this demo, you may input a curve, in the control panel and then choose a point Q. The demo displays the angular variation of the curve with respect to
the point
Q
. The various lines with integer values
n
represent angles
2n
Investigate how the curve
WQ(t)
changes for various positions of
Q
. Try curves from the cardioid family. |