Rida T. Farouki, Manoj Dalvie, et al.
Journal of Applied Physics
Paper
Real rational curves are not 'unit speed'
Abstract
We prove that it is impossible to parameterize any real plane curve, other than a straight line, by rational functions of its arc length. The proof extends in a straightforward manner to real space curves of any dimension d ≥ 3. © 1991.
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