List of things named after Pythagoras

This is a list of things named after Pythagoras, the ancient Greek philosopher, mystic, mathematician, and music theorist.

Philosophy and mysticism

  • Pythagoreanism – the system of philosophy of Pythagoras and his followers
  • Neopythagoreanism – a later philosophical system
  • Pythagorean cup – a drinking cup that forces its user to imbibe only in moderation
  • Pythagorean letter – the Greek letter upsilon, used as a symbol by the Pythagoreans
  • Pythagorean diet – vegetarianism
  • Pythagorean symbol – the tetractys
  • Pythagorean system – the distinctive system of numerology used by the Pythagoreans

Mathematics

  • Pythagorean theorem – the statement that the sum of the areas of the squares on the sides of a right triangle is the area of the square on the hypotenuse
  • Pythagorean triple – a set of three positive integers that can occur in the Pythagorean theorem
  • Pythagorean quadruple - a set of four positive integers that describes the space diagonal of a cuboid. Also known as a Pythagorean box.
  • Pythagorean expectation – a method of statistical analysis inspired by the Pythagorean theorem
  • Pythagorean field – in algebra, a field in which the sum of two squares is in every case itself a square
  • Pythagorean prime – a prime number of the form 4n + 1
  • Pythagorean trigonometric identity – any of several trigonometric identities
  • Pythagorean means – the arithmetic mean, the geometric mean, and the harmonic mean
  • Pythagorean addition – an arithmetic operation arising from the Pythagorean theorem
  • Pythagoras's constant – the square root of 2
  • Lute of Pythagoras – a geometric figure
  • Pythagoras tree – a fractal geometric figure
  • Table of Pythagoras, another name for the Multiplication table

Music

Other