
How to inscribe 3 equal circles in a Reuleaux triangle?
Using only a compass and straight edge, can you inscribe 3 equal circles inside a Reuleaux (rounded) triangle like the picture? You can construct the arcs and an equilateral triangle using a compass. So you have a given center point, circumscribing circle, and midline.
There has to be a way to get an exact construction, not just “adjust it until it fits”.