  We consider the set E of curves with positive algebraic curvature, whose
extremities and tangents in their extremities are given. For each of the curves
of E, we define the minimum of the radius of curvature. We first prove that
there exists a curve of E which maximizes this minimum. Numerically, we observe
then that this curve is equal to the unique curve of E composed of an arc of
circle and a line segment, where appropriate reduced to a point. This curve
corresponds also to a particular case of Dubins's curve and will be used to
improve the conception of a piece of a patent.
