 
cubic egg


last updated: 20040609 
or The curve can be seen as a linear distortion of an ellipse.
It has to be distinguished from another eggformed cubic, Newton's
egg curve. The first form has been constructed by Fritz Hügelschäffer
using two circles as follows:
Given a circle C_{1} (the smaller one) formed by the points C (x_{1},
y_{1}) with center B.
And given a circle C_{2} formed by the points D (x_{2},
y_{2}) with center A.
Then the cubic egg (black curve) is formed by the points E(x_{2}, y_{1}),
assuming the points B, C and D are lying on a line.
Remark: the characters belong to the point in the left down corner of it. 