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| (6,8,10) is a ], but is not listed in the table. All the triples listed have no common divisor (unlike (6,8,10)). They are called ''primitive'' Pythagorean triples. | (6,8,10) is a ], but is not listed in the table. All the triples listed have no common divisor (unlike (6,8,10)). They are called ''primitive'' Pythagorean triples. | ||
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| man that last paragraph was just awesome. | |||
Revision as of 15:51, 25 February 2002
I think a visual of the triangles involved in this proof would be very helpful- even if they are really crude like mine.
Just an interesting side note, it is believed that Pythagoras stumbled onto this proof as he was climbing the stairs to his office and he looked down at the courtyard and in the mosaic tiles, he saw the pattern of three circles and a right angle triangle.
Poser: (3,4,5) is a Pythagorean triplet since 3^2 + 4^2 = 5^2. Which positive integers are not part of a Pythagorean triplet?
perhaps add a mention of the fact that in the UK it's known as "Pythagoras' Theorem" ?
(6,8,10) is a Pythagorean triple, but is not listed in the table. All the triples listed have no common divisor (unlike (6,8,10)). They are called primitive Pythagorean triples.
man that last paragraph was just awesome.