Moments of Distance from a Vertex to a Uniformly Distributed Random Point within Arbitrary Triangles

Figure 6

Average and maximum error of moments calculated with simulation method for obtuse triangle case. Curves with “zig-zags” are the observed error rates and the corresponding smooth curves are trajectories of functions representing the rate of convergence as predicted by the central limit theorem. Here are estimated by the least square fitting criterion. (a) Average error. (b) Maximum error.

(a)

(b)