I have a curve (image below) $$ \cosh x+\cosh y = C,\qquad C>2. $$ I would like to get its smooth parametrization of form $$ x = f(t),\qquad y=g(t),\qquad t\in[a,b], $$ so for every point on the curve there is a corresponding parameter $t$. (In the same manner, as for curve $x^2+y^2=1$, there is a smooth parametrization $x=\cos t$, $y = \sin t$). I would appreciate any help. Thanks! Login To add answer/comment