Draw a Chordal (Power Line)

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]

 

Ryan Hirst

 
Resource Type
Activity
Tags
circle  geometry  plane  power  power-function  secant  theorem 
Target Group (Age)
19+
Language
English (United States)
 
 
GeoGebra version
4.2
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