Given two circles, draw the locus of points at which the two circles have equal power.
________
For [i]100 Great Problems of Elementary Mathematics[/i], Heinrich Dorrie.
#31. Monge's Problem: [i]Draw a circle which is perpendicular to three given circles.[/i]
1) Preliminary Problem: what is the locus of points with equal tangents to two circles? [url]http://www.geogebratube.org/material/show/id/33873[/url]
*[b]2) Construction of a Power line.[/b]
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]
