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Xuan tu or Hsuan thu (simplified Chinese: 弦图; traditional Chinese: 絃圖; pinyin: xuántú; Wade–Giles: hsüan 2 tʻu 2) is a diagram given in the ancient Chinese astronomical and mathematical text Zhoubi Suanjing indicating a proof of the Pythagorean theorem. [1]
In the last part of the text, the solution is proved correct using the Pythagorean theorem. The steps of the solution are believed to represent cut-and-paste geometry operations involving a diagram from which, it has been suggested, ancient Mesopotamians might, at an earlier time, have derived the Pythagorean theorem.
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The original can be viewed here: Illustration to Euclid's proof of the Pythagorean theorem.png: . Modifications made by Pbroks13. Licensing.
An illustration to Euclid's proof of the Pythagorean theorem, drawn by myself using w:Inkscape. File usage. The following 5 pages use this file: Anathem; History of ...
A visual proof of the Pythagorean theorem. Image created by me. Original raster: Pythagorean proof.png: Date: 30 August 2006 (original upload date) Source: No machine-readable source provided. Own work assumed (based on copyright claims). Author: No machine-readable author provided. Shell-man assumed (based on copyright claims). SVG development
The proof has been severely criticized by the German philosopher Arthur Schopenhauer as being unnecessarily complicated, with construction lines drawn here and there and a long line of deductive steps. According to Schopenhauer, the proof is a "brilliant piece of perversity". [6] The basic idea of the Bride's Chair proof of the Pythagorean theorem
This animation has nice EV and proves that in a Pythagorean triple, the square of the hypotenuse is equal to the sum of the squares on the other two sides. Articles in which this image appears Pythagorean theorem, Pythagorean triple, Special right triangles FP category for this image Wikipedia:Featured pictures/Diagrams, drawings, and maps/Diagrams