pythagorean+problem

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• 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

• 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 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

• Euler's three-body problem — In physics and astronomy, Euler s three body problem is to solve for the motion of a particle that is acted upon by the gravitational field of two other point masses that are either fixed in space or move in circular coplanar orbits about their… …   Wikipedia

• Kepler problem in general relativity — The Kepler problem in general relativity involves solving for the motion of two spherical bodies interacting with one another by gravitation, as described by the theory of general relativity.Typically, and in this article, one body is assumed to… …   Wikipedia

• Plato's Problem — is the term given by Noam Chomsky to the gap between knowledge and experience. It presents the question of how we account for our knowledge when environmental conditions seem to be an insufficient source of information. It is used in linguistics… …   Wikipedia

• Crossed ladders problem — The crossed ladders problem is a puzzle of unknown origin that has appeared in various publications and regularly reappears in Web pages and Usenet discussions. Contents 1 The problem 2 Solution summary 2.1 Setting up the quartic equation …   Wikipedia

• Napkin ring problem — If a hole of height h is drilled straight through the center of a sphere, the volume of the remaining band does not depend on the size of the sphere. For a larger sphere, the band will be thinner but longer. In geometry, it is somewhat surprising …   Wikipedia

• Crossed Ladders Problem — The Crossed Ladders Problem is a puzzle of unknown origin that has appeared in various publications and regularly reappears in Web pages and Usenet discussions. The Problem: Two ladders of respective length a = 40 and b = 30 feet lie oppositely… …   Wikipedia

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium