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Subject:RE: musicians among us From:Fred Ridder <docudoc -at- hotmail -dot- com> To:<techwr-l -at- lists -dot- techwr-l -dot- com> Date:Wed, 19 Dec 2007 16:02:47 -0500
lauren -at- writeco -dot- net wrote (in part):
> Music and math-wise, we have the work of Pythagoras, or at least what is
> credited to Pythagoras, to explain the connections between math and music.
> He was a philosopher (mystic, rather) and mathematician who came up with
> some math formulas and theories, like the square of the hypotenuse is equal
> to the sum of the squares of both sides.
The famous Pythagorean Theorem actually expresses a *geometric*
relationship rather than a strictly mathematic (abstract) one. The true
wording is that the square *on* the hypotenuse is equal to the sum of the
squares *on* the other two sides, and this describes the physically
observable relationship of the areas of the three squares that you can
construct on each side of a right triangle. Pythagoras was generally
fascinated by ratios (hence his fascination with music), and his connection
with the theorem that bears his name seems to have been a fascination
with the sets of integer dimensions (so-called Pythagorean triples) that
satisfy the mathematical formula, such as the best known triple: 3, 4, 5.
One class to many in mathematics and/or the history of science...
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