Is this "derivation" of the path length formula actually correct? – math.stackexchange.com

Is this "derivation" of the path length formula actually correct? – math.stackexchange.com

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Saw this in a physics lecture. This all assumes we have some function, $y=f(x)$. First he defined $$ds = \sqrt{dx^2+dy^2},$$ where the professor drew a picture and seemed to be using dx and dy to ...

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