Quote:
Originally Posted by CraigS
Aha .. the violation of Pythagoras' Theorem !!
That was going to be my contribution, also !
But I don't think Miles cares about Pythagoras, either !!
But how does he sneak this in ?? At the very beginning, he declares the angle to be 45 degrees and the sides DB and DC to be equal (this is pythagoras' theorem in action). Then he completely refutes it in:
"In other words, it is the hypotenuses of the little triangles that converges upon the curve, not the sums of the other legs of the triangles."
Its kind of start off with certain assumptions to prove something and then disprove the assumptions because of some other assumption !
Having made this point ...
Ahhh look, guys … Miles is right !! .. he's a genius and Newton … and everyone since … was just plain wrong !

Cheers
PS: (As he carefully avoids the maths required to disprove Miles) !! 
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Maybe we should have a "spot the number of errors" competition.
Regards
Steven