RE: musicians among us

[Fred Ridder <docudoc -at- hotmail -dot- com>]

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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