File:Sangaku three circles.svg

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Summary

Description A sangaku puzzle in which three circles share a tangent and the outer two large circles touch while a small circle just fits between them. Given the radii of the large circles are r_left=9 and r_right=36, the radius of the small circle must conform to 1/sqroot(r_middle)=1/sqroot(r_left)+1/sqroot(r_right). In this case, 1/sqroot(4)=1/sqroot(9)+1/sqroot(36), or 1/2=1/3+1/6.
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Author Cmglee
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Sangaku Circles.JPG

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Date/TimeThumbnailDimensionsUserComment
current12:44, 24 March 2021Thumbnail for version as of 12:44, 24 March 2021512 × 512 (1 KB)Cmglee{{Information |Description=A sangaku puzzle in which three circles share a tangent and the outer two large circles touch while a small circle just fits between them. Given the radii of the large circles are r_left=9 and r_right=36, the radius of the small circle must conform to 1/sqroot(r_middle)=1/sqroot(r_left)+1/sqroot(r_right). In this case, 1/sqroot(4)=1/sqroot(9)+1/sqroot(36), or 1/2=1/3+1/6. |Source={{own}} |Date= |Author= Cmglee |Permission= |other_versions={{source th...
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