Pythagorean triple

Pythagorean triple
A set of three positive integers a, b and c, where a = b + c

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  • Pythagorean triple — A Pythagorean triple consists of three positive integers a , b , and c , such that a 2 + b 2 = c 2. Such a triple is commonly written ( a , b , c ), and a well known example is (3, 4, 5). If ( a , b , c ) is a Pythagorean triple, then so is ( ka …   Wikipedia

  • Pythagorean — means of or pertaining to the ancient Ionian mathematician, philosopher, and music theorist Pythagoras. See:Philosophy* Pythagoreanism an Egyptian influenced Neo Platonic philosophy named after the Greek philosopher and mathematician,… …   Wikipedia

  • Pythagorean theorem — See also: Pythagorean trigonometric identity The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c) …   Wikipedia

  • Triple deity — A triple deity (sometimes referred to as threefold, tripled, triplicate, tripartite, triune or triadic) is a deity associated with the number three. Such deities are common throughout world mythology; the number three has a long history of… …   Wikipedia

  • number game — Introduction       any of various puzzles and games that involve aspects of mathematics.       Mathematical recreations comprise puzzles and games that vary from naive amusements to sophisticated problems, some of which have never been solved.… …   Universalium

  • Special right triangles — Two types of special right triangles appear commonly in geometry, the angle based and the side based (or Pythagorean) triangles. The former are characterised by integer ratios between the triangle angles, and the latter by integer ratios between… …   Wikipedia

  • Indian mathematics — mdash;which here is the mathematics that emerged in South Asia from ancient times until the end of the 18th century mdash;had its beginnings in the Bronze Age Indus Valley civilization (2600 1900 BCE) and the Iron Age Vedic culture (1500 500 BCE) …   Wikipedia

  • Heronian triangle — In geometry, a Heronian triangle is a triangle whose sidelengths and area are all rational numbers. It is named after Hero of Alexandria.PropertiesAny triangle whose sidelengths are a Pythagorean triple is Heronian, as the sidelengths of such a… …   Wikipedia

  • Babylonian mathematics — refers to any mathematics of the peoples of Mesopotamia (ancient Iraq), from the days of the early Sumerians to the fall of Babylon in 539 BC. In contrast to the scarcity of sources in Egyptian mathematics, our knowledge of Babylonian mathematics …   Wikipedia

  • Pythagoras — of Samos redirects here. For the Samian statuary, see Pythagoras (sculptor). For other uses, see Pythagoras (disambiguation). Pythagoras (Πυθαγόρας) …   Wikipedia

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