Talbot's curve

trigonometric

last updated: 2003-07-20

h17talbf.gif (2086 bytes)

h17talb1.gif (1738 bytes)h17talb2.gif (1900 bytes)h17talb4.gif (1771 bytes)h17talb3.gif (1846 bytes)As you might expect the curve was investigated as first by Talbot.

The pedal of the curve is the ellipse.

The traditional form of the curve is the first shown. Then the parameter a lies between ½ and 1.