Post by John Koch
Does anyone know of a statement of Bliss's Theorem on a website? If
so, will you please share the link with me?
In case there is more than one "Bliss's Theorem," it's the theorem
that it used to justify the arc length formula for parametric
equations being a Riemann integral, when the derivation doesn't lead
to a Riemann sum.
I'm not at all clear on exactly what that last "when the derivation
doesn't lead to a Riemann sum" means... (is that one of the
hypotheses, or a comment on why the proof is not clear or what?)
If you could give a precise statement of what you want to prove
someone could show you how to prove it. _Is_ the question just
how to prove that the arclength is given by that integral?
(That's what it sounds like the question is, but I'd be surprised
to hear that that fact was someone's theorem... _if_ that's
the question then what are the hypotheses? In particular
are we assuming that the curve is continuously differentiable?)
David C. Ullrich