Quote:
Originally Posted by Don Blazys
Galileo's "proof that all circles have the same circumference" is quite interesting, and in my opinion, requires "proper interpretation"
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My point was that this exemplified confusion about dimensions. The limit has no two dimensional component and the one dimensional component, ie the perimeters, were never the same.
Archimedes employed a similar construction in proposition 2 of The Method, without the confusion and in a more radical way. The Method hadn't been recovered at the time of Galileo. Were there only two great minds who thought somewhat alike on this matter? And only one discovered a wonderful analogic method that generated exact results.
