A constant of two circles

A saw a neat math gif at mathani on Tumblr [url]http://mathani.tumblr.com/post/77482183135/two-circles-intersect-at-two-points-as-a-point[/url] This sketch started because of the "I have to make this" moment, but then I added a 2nd chord in the other circle, and an unconstrained point to compare it with. So why is the segment of constant length?

 

John Golden

 
Resource Type
Activity
Tags
circle  conjecture  geometry  mathani 
Target Group (Age)
15 – 18
Language
English (United States)
 
 
GeoGebra version
4.4
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773
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