Given a segment $AB$, subdivided in $m$ sub-segments, I have to draw a circumference $C$, subdivided in $m$ arcs, in such a way that the ratios between the lengths of the sub-segments of $AB$ are the same as the ratios between the lengths of the arcs subdividing $C$.
Here's an (illustrative) example with $m=3$.
Is there a simple geometric construction to solve this problem?
I apologize in case this is an obvious question. Thanks for your suggestions!