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Pythagorean

Pythagorean

Overview
Pythagorean means of or pertaining to the ancient Ionia
Ionia
Ionia is an ancient region of central coastal Anatolia in present-day Turkey, the region nearest İzmir, which was historically Smyrna. It consisted of the northernmost territories of the Ionian League of Greek settlements...

n mathematician, philosopher, and music theorist Pythagoras
Pythagoras
Pythagoras of Samos was an Ionian Greek philosopher and founder of the religious movement called Pythagoreanism. He is often revered as a great mathematician, mystic and scientist; however some have questioned the scope of his contributions to mathematics and natural philosophy...

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Encyclopedia
Pythagorean means of or pertaining to the ancient Ionia
Ionia
Ionia is an ancient region of central coastal Anatolia in present-day Turkey, the region nearest İzmir, which was historically Smyrna. It consisted of the northernmost territories of the Ionian League of Greek settlements...

n mathematician, philosopher, and music theorist Pythagoras
Pythagoras
Pythagoras of Samos was an Ionian Greek philosopher and founder of the religious movement called Pythagoreanism. He is often revered as a great mathematician, mystic and scientist; however some have questioned the scope of his contributions to mathematics and natural philosophy...

. See:

Philosophy

  • Pythagoreanism
    Pythagoreanism
    Pythagoreanism is a term used for the esoteric and metaphysical beliefs held by Pythagoras and his followers, the Pythagoreans, who were much influenced by mathematics and probably a very inspirational source for Plato and Platonism....

     is a term used for the esoteric and metaphysical beliefs purported to have been held by Pythagoras.
  • Neo-Pythagoreanism was a school of philosophy reviving Pythagorean doctrines that became prominent in the 1st and 2nd centuries AD.

Mathematics

  • Pythagorean theorem
    Pythagorean theorem
    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle...

  • Pythagorean triple
    Pythagorean triple
    A Pythagorean triple consists of three positive integers a, b, and c, such that . Such a triple is commonly written , and a well-known example is . If is a Pythagorean triple, then so is for any positive integer k...

  • Pythagorean prime
    Pythagorean prime
    A Pythagorean prime is prime number of the form 4n + 1. These are exactly the primes that can be the hypotenuse of a Pythagorean triangle.The first few Pythagorean primes are...

  • Pythagorean trigonometric identity
    Pythagorean trigonometric identity
    The Pythagorean trigonometric identity is a trigonometric identity expressing the Pythagorean theorem in terms of trigonometric functions. Along with the sum-of-angles formulae it is the basic relation among the sin and cos functions from which all others may be derived The Pythagorean...

  • Pythagorean Approximation
    Pythagorean Approximation
    Sum of one half of the shorter side and seven eighth of the longer side give the hypotenuse. ஒடிய நீளன்தனை ஒரெட்டு கூரக்கி கூரதில் ஒன்டை தள்ளி குன்ட்ரதின் பதியை சேர்தல் நீடிய கருனம் தனே....