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English: Illustration of the Pythagorean theorem. The sum of two squares whose sides are the two legs (blue and red) is equal to the area of the square whose side is the hypotenuse (purple). The sum of two squares whose sides are the two legs (blue and red) is equal to the area of the square whose side is the hypotenuse (purple).
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
Date/Time Thumbnail Dimensions User Comment; current: 20:44, 19 December 2006: 500 × 540 (6 KB): Gerbrant: Changed PQR to ABC, in line with the article (and Euclid, although he uses Greek letters of course).
The Bride's chair proof of the Pythagorean theorem, that is, the proof of the Pythagorean theorem based on the Bride's Chair diagram, is given below. 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 ...
Oliver Byrne (/ b ɜːr n /; 31 July 1810 – 9 December 1880) was a civil engineer and prolific author of works on subjects including mathematics, geometry, and engineering.He is best known for his 'coloured' book of Euclid's Elements.
Diagram describing a proof of the Pythagorean theorem; drawn with w:MetaPost and converted to w:SVG. See also Image:Pythagoras6.png for another diagram representing the same proof, with more details.
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