# Pythagorean proposition

Pythagorean proposition
Pythagorean Pyth`a*go"re*an, a. [L. Pythagoreus, Gr. ?.] Of or pertaining to Pythagoras (a Greek philosopher, born about 582 b. c.), or his philosophy. [1913 Webster]

The central thought of the Pythagorean philosophy is the idea of number, the recognition of the numerical and mathematical relations of things. --Encyc. Brit. [1913 Webster]

{Pythagorean proposition} (Geom.), the theorem that the square described upon the hypothenuse of a plane right-angled triangle is equal to the sum of the squares described upon the other two sides.

{Pythagorean system} (Astron.), the commonly received system of astronomy, first taught by Pythagoras, and afterward revived by Copernicus, whence it is also called the {Copernican system}.

{Pythagorean letter}. See {Y.} [1913 Webster]

The Collaborative International Dictionary of English. 2000.

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• Pythagorean — Pyth a*go re*an, a. [L. Pythagoreus, Gr. ?.] Of or pertaining to Pythagoras (a Greek philosopher, born about 582 b. c.), or his philosophy. [1913 Webster] The central thought of the Pythagorean philosophy is the idea of number, the recognition of …   The Collaborative International Dictionary of English

• Pythagorean letter — Pythagorean Pyth a*go re*an, a. [L. Pythagoreus, Gr. ?.] Of or pertaining to Pythagoras (a Greek philosopher, born about 582 b. c.), or his philosophy. [1913 Webster] The central thought of the Pythagorean philosophy is the idea of number, the… …   The Collaborative International Dictionary of English

• Pythagorean system — Pythagorean Pyth a*go re*an, a. [L. Pythagoreus, Gr. ?.] Of or pertaining to Pythagoras (a Greek philosopher, born about 582 b. c.), or his philosophy. [1913 Webster] The central thought of the Pythagorean philosophy is the idea of number, the… …   The Collaborative International Dictionary of English

• 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

• Pythagorean theorem — Geom. the theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. [1905 10] * * * Rule relating the lengths of the sides of a right triangle. It says that the sum of the squares of… …   Universalium

• 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

• Teorema de Pitágoras — El Teorema de Pitágoras establece que en un triángulo rectángulo, el área del cuadrado de la hipotenusa (el lado de mayor longitud del triángulo rectángulo) es igual a la suma de las áreas del cuadrado de los catetos (los dos lados menores del… …   Wikipedia Español

• Copernican system — Pythagorean Pyth a*go re*an, a. [L. Pythagoreus, Gr. ?.] Of or pertaining to Pythagoras (a Greek philosopher, born about 582 b. c.), or his philosophy. [1913 Webster] The central thought of the Pythagorean philosophy is the idea of number, the… …   The Collaborative International Dictionary of English

• Théorème de Pythagore — Relation entre les longueurs des cô …   Wikipédia en Français

• Theorem — The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements …   Wikipedia