[i]Inscribe in a circle a triangle whose sides pass through three given points.[/i]
(1 of 2)
Step-by-step solution using the Construction Protocol.
This is problem #29 of Heinrich Dörrie's [i]100 Great Problems of Elementary Mathematics.[/i]
Dörrie attributes this solution to Giordano Vitale.
I have not reproduced the reasoning leading to this approach, but the necessary relationships can be highlighted in the final diagram.
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*This construciton is unreliable if one of the points (in this case, C) lies outside the circle. The problem is better described by swinging a line from side to side:
Solution 2, Steiner: [url]http://www.geogebratube.org/material/show/id/55007[/url]
