Five Cardioids

Draw 5 tangents to a 5-cusp hypocycloid. For any 4 out of five there exists a cardioid that is tangent to all 4 lines. Centers of these cardioids lie on a circle. (F. Morley)

(The lines could be rotated by dragging dots on the circle in the lower left corner of the applet.)

Explanation.

|Activities| |Contact| |Front page| |Contents| |Store| |Geometry|

Copyright © 1996-2012 Alexander Bogomolny