32. Tangency Problem of Apollonius

[b]Proposition: [/b] [i]To draw a circle which is tangent to three given circles.[/i] _____ This is problem #32 in Heinrich Dorrie's [i]100 Great Problems of Elementary Mathematics.[/i] [list=1] [*][b]Geometric Solution[/b] [*]Differential Solution: a. Seek model (one circle): [url]http://www.geogebratube.org/material/show/id/34821[/url] b. Solution, v.1: [url]http://www.geogebratube.org/material/show/id/34855[/url] c. Solution v.2, improved: [url]http://www.geogebratube.org/material/show/id/35386[/url] [/list]

 

Ryan Hirst

 
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apollonius  center  circles  geometry  monge  plane  power  similarity 
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