  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. There exists a unique
curve of E which maximizes this minimum and 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.
