File:Sangaku three circles.svg
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editDescriptionSangaku three circles.svg | 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 work | |
Author | Cmglee | |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 12:44, 24 March 2021 | ![]() | 512 × 512 (1 KB) | Cmglee (talk | contribs) | {{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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Short title | Sangaku three circles |
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Image title | The smallest distinct integer solution to the Sangaku three circles problem, drawn by CMG Lee. |
Width | 100% |
Height | 100% |