You can right-click a curve and select "Edit Point" to view the points of a curve. (not the same as vertices remember...) Is there any way to add a point to a curve in a specific place or at least add many points uniformally to the entire curve yet keep the EXACT original curvature?

Reason I'm asking is because I created a curve from an isoparm of a surface, need to cut it in a specific place, yet still need it to line up perfectly with the surface edge I duplicated it from. None of the current edit points are where I need to cut the curve, hence why I would like to add one.