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    $\begingroup$ ParametricPlot[{Cos[t], Sin[2 t]}, {t, 0, 2 Pi}, CoordinatesToolOptions -> {"DisplayFunction" -> fu}] And it is also documented: CoordinatesToolOptions $\endgroup$ Commented yesterday
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    $\begingroup$ @Domen Better said it is not well documented. You will not find it within documentation of ParametricPlot. So if you do not know something like CoordinatesToolOptions exists then there is no chance that you would find it in documentation. I only found "CoordinatesToolOptions" in full form of output. $\endgroup$ Commented yesterday
  • $\begingroup$ I think this is a good application for a resource function. $\endgroup$ Commented yesterday
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    $\begingroup$ Good discovery of CoordinatesToolOptions! This workaround produces what I'm after. Though it requires inverting {x,y} values to determine the parameter t. My application involves interpolating functions from NDSolve, so the inversion is more complicated, e.g., using FindRoot. $\endgroup$ Commented yesterday
  • $\begingroup$ @tad InverseFunction works with InterpolatingFunction if needed. $\endgroup$ Commented yesterday