[b]Proposition:[/b]
[i]To find the locus of points at which two given circles have equal power.[/i]
The locus is a straight line perpendicular to the line through the circle centers.
From any point on this line, we may draw a third circle which is perpendicular to both given circles.
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For [i]100 Great Problems of Elementary Mathematics[/i], Heinrich Dorrie,
#31. Monge's Problem
*[b]1) Locus of points with equal tangents to two circles[/b] (Chordal/Power Line)
2) Construction of a tangent monster. [url]http://www.geogebratube.org/material/show/id/33923[/url]
3) Solution of Monge's Problem. [url]http://www.geogebratube.org/material/show/id/33929[/url]
4 )Vector Reduction. [url]http://www.geogebratube.org/material/show/id/33963[/url]
