31. Monge's Problem

[b]Proposition: [/b] [i]To draw a circle which is perpendicular to three given circles.[/i] This is problem #31 in Heinrich Dorrie's [i]100 Great Problems of Elementary Mathematics[/i]. Solution. __________________ Monge's Problem: 1) [i]What is the locus of points with equal tangents to two circles? [/i][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] [b]→3) Solution[/b] 4) Vector Reduction: [url]http://www.geogebratube.org/material/show/id/33963[/url] Power Center tool: [url]http://www.geogebratube.org/material/show/id/55255[/url]

 

Ryan Hirst

 
Resource Type
Activity
Tags
chordal  circle  point  power 
Target Group (Age)
19+
Language
English (United States)
 
 
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4.2
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