Conformal invariants of curves via those for inscribed polygons with circular edges

Abstract

Abstract The conformal nature of smooth curves in R 3 is characterised by conformal length, curvature and torsion. We present a derivation of these conformal parameters via a limiting process using inscribed polygons with circular edges. The procedure is based on elementary geometry in R 3 only and similar to the rectification of curves in the metrical case. It seems to be not available in the literature so far.