Move a point on a curve/copy a curve along the other curve

Hi,
I really want to start the curve’s points(blue) from the green curve but ı can not move them exactly where ı want want. Are there any options?
Or are there any chances to copy the vertival curce along the horizontal one?

you can use the option intersection and near, activated in the lower bar “Object snaps”
image

Yes that helped. Thank you so much.