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#1 2012-12-23 23:42:17

Agnishom
Star Member

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Pythagorean Triangle

Show that an integer sided Pythagorean triangle can have atmost one perfect square side


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65

#2 2012-12-24 02:10:42

bobbym
Administrator

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Re: Pythagorean Triangle

Hi Agnishom;

In your other thread

http://www.mathisfunforum.com/viewtopic.php?id=18119

you posted a link.

It proves there are no solutions to the diophantine equation.



with a,b,c  being positive integers by the method of infinite descent. Do you see how to apply it here?


In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

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