  The conformal nature of smooth curves in $\mathbb{R}^3$ 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
$\mathbb{R}^3$ only and similar to the rectification of curves in the metrical
case. It seems to be not available in the literature so far.
