[b]Proposition: [/b] [i]To draw a circle which is perpendicular to three given circles.[/i]
This is problem #31 in Heinrich Dorrie's [i]100 Great Problems of Elementary Mathematics[/i].
Solution.
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Monge's Problem:
1) [i]What is the locus of points with equal tangents to two circles? [/i][url]http://www.geogebratube.org/material/show/id/33873[/url]
2) Draw a Chordal/Power line: [url]http://www.geogebratube.org/material/show/id/33923[/url]
[b]→3) Solution[/b]
4) Vector Reduction: [url]http://www.geogebratube.org/material/show/id/33963[/url]
Power Center tool: [url]http://www.geogebratube.org/material/show/id/55255[/url]
