  We calculate Wilson loops in lowest order of perturbation theory for
triangular contours whose edges are circular arcs. Based on a suitable
disentanglement of the relations between metrical and conformal parameters of
the contours, the result fits perfectly in the structure predicted by the
anomalous conformal Ward identity. The conformal remainder function depends in
the generic 4D case on three cusp and on three torsion angles. The restrictions
on these angles imposed by the closing of the contour are discussed in detail
and also for cases in 3D and 2D.
