Euler's Elegant Example
This applet illustrates Euler's Elegant Example: an infinite family of cubic equations that pass through nine fixed points. The equation is
where p is a parameter that may be any real number.
In this applet, you can set particular values of p using the slider control, or put the applet into play mode and observe the curve as p cycles through values between −5 and +5.
Bradley and Stemkoski, Created with GeoGebra