The pedal curve of a logarithmic spiral with parametric equation
(1)
| |||
(2)
|
for a pedal point at the pole is an identical logarithmic spiral
(3)
| |||
(4)
|
so
(5)
|
The pedal curve of a logarithmic spiral with parametric equation
(1)
| |||
(2)
|
for a pedal point at the pole is an identical logarithmic spiral
(3)
| |||
(4)
|
so
(5)
|
Weisstein, Eric W. "Logarithmic Spiral Pedal Curve." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LogarithmicSpiralPedalCurve.html