Geometric Construction 4
Construct the astroid.
Construct the deltoid.
Construct the nephroid.
Construct the cardioid.
Construct an animation showing a rod of fixed length slides with its ends
upon two fixed perpendicular lines.
Construct the cardioid as the envelop of circles. Find the point of tangency.
Reference: Herman Baravalle, Dynamic Beauty of Geometrical
Forms, Math. Scripta (1948) p.294.
Construct the nephroid as the envelope of circles. Find the point of tangency.
Two persons walk at constant speed around a circle. The ratio of their
angular velocity is k ( k is not 0, 1 or -1). Find the envelope of all
the straight lines joining them for k = 2, 3, -2, -3. Find the point of