Geometric Construction 11


Construct an animation showing the cardioid has three parallel tangents in any direction.


Construct an animation displaying the largest deltoid that can be inscribed in a nephroid.


Given the rose curve, construct its escribed deltoid.


Construct an animation showing that the cardioid is the caustic of a circle with radient-point at the circumference.


Construct an animation showing that the nephroid is the caustic of a cardioid with radient-point at the cusp.


Construct an animation displaying the principle behind the cardioid condensor.


Show that is the cardioid is pivoted at the cusp and rotated with constant angular velocity, a pin, constrained to a fixed line and bearing on the cardioid, will move with simple harmonic motion.


Combine two anti-parallelograms to generate the cardioid as thus: