Say I'd like to produce the following diagram in Inkscape.
How were I to proceed? I can create three overlapping circles and I can create intersection objects from them but the problem is to align the intersection objects with the original circles. When I copy the three circles and paste them again, they turn up anywhere on the page and not in their original spot. It's very hard and in fact practically impossible to exactly realign the four intersection objects because even the slightest mismatch will create something like color fringing.
Edit: This is what I actually need and what I got so far with manual placement:
To be honest, the upper right intersection element is only darker than the other two because somehow I didn't get it to be bright. Maybe it's because of the gradients in the circles or maybe just because I don't have a very good mental model of what the overlays do.