[b]Proposition[/b]: [i]To draw a circle which is perpendicular to three given circles.[/i]
Reduction of the problem to a vector formula in the given conditions:
points A, B, C and corresponding radii r1, r2, r3.
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This is problem #31 in Heinrich Dorrie's [i]100 Great Problems of Elementary Mathematics[/i].
Worksheet 4 of 4:
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]
2) Draw a Chordal/Power line: [url]http://www.geogebratube.org/material/show/id/33923[/url]
3) Solution: [url]http://www.geogebratube.org/material/show/id/33929[/url]
*[b]4) Vector Reduction[/b]
Oh. And I know this isn't much of a reduction. In the middle of submitting it to another round of algebra now.
