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A comment on Pythagorean Theorem Found on Clay Tablet 1k Years Older Than Pythagoras. Parent comment
* For any real positive values $a$ and $b$
* let $T$ be the (unique) right-angled triangle with non-hypotenuse sides of length $a$ and $b$
* then $a$^2 = $b$^2 = $c$^2
* where $c$ is the (unique) length of the hypotenuse of $T$.
You could give me the instance
$a$ = 2, $b$ = 3
$a$ = 4, $b$ = 3
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* For any real positive values $a$ and $b$
* let $T$ be the (unique) right-angled triangle with non-hypotenuse sides of length $a$ and $b$
* then $a$^2 = $b$^2 = $c$^2
* where $c$ is the (unique) length of the hypotenuse of $T$.
You could give me the instance
and it will prove it for this case. Then you could later double $a$ and give me the instance and it will prove it just as easily for this case.