Circle through 3 Points

This Challenge may seem obscure but I can imagine it happening for a website design.

Can you Xara-construct a circle whose edge touches three arbitrary points?
The points cannot all lie on the same straight line or create a circle that exceeds Xara's largest dimensions.

Here is a benign example:
Attachment 122566

You points can instead be the the corners of any triangle.

Acorn

This is a little nudge.

Another view of the problem.
Starting with only the RGB small circles, place a yellow circle that cut through each of the RGB centres:

Attachment 122632

Happy for an explanation of your method but i would prefer a visual answer.

Acorn

I'm not sure of what you were asking Acorn but here's how I saw it and went about it :rolleyes: You can shift click to place the large circle cutting through the centre of the three small ones or touching the outer or inner edges.

Stygg

Quote:

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Originally Posted by stygg2003

I'm not sure of what you were asking Acorn but here's how I interpretated it and went about it :rolleyes:
Stygg

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Stygg, sorry but I think you have missed the point(s)!

The leftmost diagram is the accurate one. I used blobs rather than points just to make them obvious.

My question is what is your construction? If I move one of your red blobs to another place, how would you get the circle to fit?

Cheers.
Acorn

ah well, back to the think tank :)

Stygg