Move a point along curve

I wanted to move a point along the curve from a particular point on the line, for example, a point in the middle of a curve needs to move in one direction along the curve for a distance. how can I achieve that on Grasshopper? (I already tried evaluate curve, but i could only move point from one end)

subcurve.gh (5.3 KB)

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Thank you, I figured it out from your hint !

move a point along curve.gh (7.0 KB)