Equal distance between points on multiple curves?

I have a set of arbitrary curves (pink) with varying length.
I want to evaluate each curve at a parameter so that the distance between each evaluation point is the same, or a multiple of that distance.

The example is manually made. Now, is this possible to identify this common distance in Grasshopper??
I can’t come up with a solution :frowning:

EDIT: I realise now that my problem is very complex and that there might be an infinite amount of possible solutions

Does it mean that only one point can be on each of the curve?
There will be probably many solutions. Do you want SINGLE DISTANCE to be max possible or minimum possible or integer or …