The Galilean spiral is the curve with polar equation
 |
for 
which describes the trajectory of a point uniformly accelerated along a line rotating
about a point.
Galilean Spiral
See also
SpiralExplore with Wolfram|Alpha
References
Ferréol, R. "Galilean Spiral." https://mathcurve.com/courbes2d.gb/galilee/galilee.shtml.Cite this as:
Weisstein, Eric W. "Galilean Spiral." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GalileanSpiral.html