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  2. Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_theorem

    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.

  3. Pythagoreanism - Wikipedia

    en.wikipedia.org/wiki/Pythagoreanism

    Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2. [38] This ratio, also known as the "pure" perfect fifth, is chosen because it is one of the most consonant and easiest to tune by ear and because of importance attributed to the integer 3.

  4. Bride's Chair - Wikipedia

    en.wikipedia.org/wiki/Bride's_Chair

    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 ...

  5. Pythagoras - Wikipedia

    en.wikipedia.org/wiki/Pythagoras

    Pythagoras. Pythagoras of Samos[a] (Ancient Greek: Πυθαγόρας; c. 570 – c. 495 BC) [b] was an ancient Ionian Greek philosopher, polymath and the eponymous founder of Pythagoreanism. His political and religious teachings were well known in Magna Graecia and influenced the philosophies of Plato, Aristotle, and, through them, the West in ...

  6. Euclidean distance - Wikipedia

    en.wikipedia.org/wiki/Euclidean_distance

    Euclidean distance. In mathematics, the Euclidean distance between two points in Euclidean space is the length of the line segment between them. It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, and therefore is occasionally called the Pythagorean distance. These names come from the ancient Greek ...

  7. Garfield's proof of the Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Garfield's_proof_of_the...

    Garfield in 1881. Garfield's proof of the Pythagorean theorem is an original proof the Pythagorean theorem invented 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). [1][2] At the time of ...

  8. Golden Verses - Wikipedia

    en.wikipedia.org/wiki/Golden_Verses

    [7] The Neoplatonists used the Golden Verses as part of their preparatory program of moral instruction, [ 8 ] and a number of Neoplatonic commentaries on the verses are extant . An early English translation of the Golden Verses , accompanied by the commentary of the Neoplatonist Hierocles of Alexandria , was published by John Hall of Durham in ...

  9. Henry Perigal - Wikipedia

    en.wikipedia.org/wiki/Henry_Perigal

    Known for. Pythagorean theorem. Scientific career. Fields. Mathematics, Astronomy. Henry Perigal, Jr. FRAS MRI (1 April 1801 – 6 June 1898) was a British stockbroker and amateur mathematician, known for his dissection -based proof of the Pythagorean theorem and for his unorthodox belief that the moon does not rotate. [1][2][3][4][5][6]

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