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current | 01:44, 10 October 2020 | 512 × 341 (2 KB) | Cmglee | {{Information |description ={{en|1=Proof without words of the inequality of arithmetic and geometric means, drawn by CMG Lee. PR is a diameter of a circle centred on O; its radius AO is the arithmetic mean of ''a'' and ''b''. Using the geometric mean theorem, right triangle PGR can be split into two similar triangles PQG and GQR; GQ / ''a'' = ''b'' / GQ, hence GQ = √(''ab''), the geometric mean.}} |date = |source ={{own}} |author = User:Cmglee }} [[Category... |
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Original file (SVG file, nominally 512 × 341 pixels, file size: 2 KB)
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 01:44, 10 October 2020 | 512 × 341 (2 KB) | Cmglee | {{Information |description ={{en|1=Proof without words of the inequality of arithmetic and geometric means, drawn by CMG Lee. PR is a diameter of a circle centred on O; its radius AO is the arithmetic mean of ''a'' and ''b''. Using the geometric mean theorem, right triangle PGR can be split into two similar triangles PQG and GQR; GQ / ''a'' = ''b'' / GQ, hence GQ = √(''ab''), the geometric mean.}} |date = |source ={{own}} |author = User:Cmglee }} [[Category... |
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