File:Pythagorean Diagram for IM 67118.svg

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Summary

Description
English: A diagram showing possible geometric reasoning for the solution to the problem on Old Babylonian tablet IM 67118 (that of finding sides a and b of a rectangle with given diagonal c and area A). Solid lines demonstrate that c^2-2A = (b-a)^2. Dashed lines and shading show how to complete the gnomon of area A to a square of area [(b+a)/2]^2. From (b-a)/2 and (b+a)/2 one can obtain b and a.
Date
Source Own work
Author Will Orrick

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Captions

Possible geometric interpretation of solution on Old Babylonian tablet IM 67118

Items portrayed in this file

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27 May 2019

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Date/TimeThumbnailDimensionsUserComment
current00:57, 28 May 2019Thumbnail for version as of 00:57, 28 May 2019375 × 375 (10 KB)Pi.1415926535Add white background; italics for text; expand
17:03, 27 May 2019Thumbnail for version as of 17:03, 27 May 2019249 × 249 (3 KB)Will OrrickCross-wiki upload from en.wikipedia.org
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