I have a seemingly simple problem I would like to construct, which I am not getting my head around. maybe somebody has an idea or theoretic solution to this.

I have 2 black lines, which should be connected at **A** and **B** with the smoothest possible transition with the **least amount of curvature change**. The **e** marks the two tangents hitting each other. The resulting curve should of course not surpass the tangents.

I can of course make a blend curve and set it to curvature and tweak the leavers but how would I tweak them that they respect the given triangular in the best possible solution, also I dont want to actually tweak but want to have an exact and most likely the only real solution.

There are 2 examples: blue is a blend curve set to tangency with no change at the leavers. the green is the result of an arc blend which by feeling seems to fulfill the task already better. but getting the curve which delivers the smoothest transition seems not possible with a bit of a deeper understanding I assume. Maybe I need an iterative solution? Or maybe I am just tired and it is simple after all.