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Old 28-05-2010, 10:50 PM
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Robh (Rob)
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Join Date: Feb 2009
Location: Blue Mountains, Australia
Posts: 1,338
Quote:
Originally Posted by mithrandir View Post
...
The squaw of the hippopotamus is equal to the sons of the squaws of the other two hides."
Nice rendition of the tale.

Excuse the digression but it reminds me of another story ...
Preliminary-
Pythagoras' theorem states that for a right triangle with sides a, b, c (the hypotenuse), then a^2+b^2=c^2. A Pythagorean triad is a set of 3 sides for a right triangle e.g. 3,4,5 where 3^2+4^2=5^2 or 9+16=25.

In those days, Liethagoras, who was jealous of Pythagoras' fame, noticed an interesting connection between Pythagorean triads and proposed a much simpler theorem for right-angled triangles: a^2=b+c.
3,4,5 ---> 3^2=4+5
5,12,13 ---> 5^2=12+13
7,24,25 ---> 7^2=24+25

However, his fame was short-lived when it was brought to Pythagoras' attention and he laughed off the proposition.
For anyone interested, under what condition is Liethagoras correct?

Regards, Rob.
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