Wed, 17 Apr 2024 12:24:01 +0000

In search of a plane curve in polar coordinates \((\theta(t),r(t))\) such that \(\frac{d\theta}{dt}\) and \(\frac{dr}{dt}\) are positive, and \(\frac{dr}{dt}\) and \(\frac{dL}{dt}\) (where \(L\) is the arclength) are constant.