ABC circle sector turns on ground (x axis) as shown in the figure. A is the center of the circle. $\angle{OAB}=\angle{OAC}=\alpha $
$|AB|=r$
$\cfrac{|AP|}{|PC|}=k$
The corners meet on point $H$ in the limit points. What is the curve equation $f(x)$ that passing from $P',P,P''$ Thanks for answers