Dependency Curve curvature to control point position

[Moonpick (Pierre)]

Found here the answer to my question:

Control points' math relation of G2 continuity

Hi guys, Just share some information. I studied control points’ math relation of G2 continuity and find out the following function relation. [000] Assume a=d1/d2, b=h1/h2, when the two curves’ relation is G2, and all the control points’ weight is 1.0, b=a² Maybe we barely use G2 relation in grasshopper, but I think it will do some use under some circumstances. Well, it only works when the two curves are in the same degree.

respectively in the matchCurve Component from Tom, which is available on Git. Thank you Tom.