Proposition: [i]To draw a circle which is tangent to three given circles.[/i]
A differential system of the problem.
version 1
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This is problem #32 in Heinrich Dorrie's [i]100 Great Problems of Elementary Mathematics.[/i]
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[*]Geometric Solution: [url]http://www.geogebratube.org/material/show/id/34645[/url]
[*]Differential Solution:
a. Seek model (one circle): [url]http://www.geogebratube.org/material/show/id/34821[/url]
[b]→b. Solution, v.1 [/b]
c. Solution v.2, improved: [url]http://www.geogebratube.org/material/show/id/35386[/url]
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