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The observation that subtracting 2A from c 2 yields (b − a) 2 need only be augmented by a geometric rearrangement of areas corresponding to a 2, b 2, and −2A = −2ab to obtain rearrangement proof of the rule, one which is well known in modern times and which is also suggested in the third century CE in Zhao Shuang's commentary on the ...
Rearrangement proof of the Pythagorean theorem. (The area of the white space remains constant throughout the translation rearrangement of the triangles. At all moments in time, the area is always c 2. And likewise, at all moments in time, the area is always a 2 + b 2.)
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Ne’Kiya Jackson and Calcea Johnson have published a paper on a new way to prove the 2000-year-old Pythagorean theorem. Their work began in a high school math contest.
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
Garfield's proof of the Pythagorean theorem is an original proof the Pythagorean theorem discovered by James A. Garfield (November 19, 1831 – September 19, 1881), the 20th president of the United States. The proof appeared in print in the New-England Journal of Education (Vol. 3, No.14, April 1, 1876).
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] Zhoubi Suanjing is one of the oldest Chinese texts on mathematics. The ...
Abu'l-Wafa' also used his dissection to demonstrate the Pythagorean theorem. [2] This geometrical proof of Pythagoras' theorem would be rediscovered in the years 1835 - 1840 [3] by Henry Perigal and published in 1875. [4]
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