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Partial border of combined curves

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Hi all, I’m hoping to be able to script the following.

Looking at overlaying multiple curves and creating a single curve that represents part of the border.

In this example I have the profile of 3 x our CNC tools.

The end result is a curve that is the result of those tools if they were machined into a board (7mm in this example).

It is sort of a boolean curve trimmed.

Hope it makes sense!

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