# Pythagorean system

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 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 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… …   The Collaborative International Dictionary of English

• Pythagorean interval — In musical tuning theory, a Pythagorean interval is a musical interval with frequency ratio equal to a power of two divided by a power of three, or vice versa. For instance, the perfect fifth with ratio 3/2 (equivalent to 31/21) and the perfect… …   Wikipedia

• Pythagorean comma — (PC) defined in Pythagorean tuning as difference between semitones (A1–m2), or interval between enharmonically equivalent notes (from D♭ to C♯). The di …   Wikipedia

• Pythagorean tuning — is a system of musical tuning in which the frequency relationships of all intervals are based on the ratio 3:2. Its name comes from medieval texts which attribute its discovery to Pythagoras, but its use has been documented as long ago as 3500… …   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

• 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

• Neo-Pythagorean Philosophy — • An ethico religious society founded by Pythagoras, which flourished especially in Magna Graecia in the fifth century B.C. Catholic Encyclopedia. Kevin Knight. 2006. Neo Pythagorean Philosophy     Neo Pythagorean Philoso …   Catholic encyclopedia

• Musical system of ancient greece — This article concerns itself with the music theoretical and mathematical tone system of ancient Greece. For a discussion of the cultural aspects and history of ancient Greek music, see Music of ancient Greece. The musical system of ancient Greece …   Wikipedia