This curved blade (20) comprises a cutting rim (30), at least one portion of which comprises a continuous flange (31) defining a continuous cutting edge, as well as at least one row of ribs (32), the longitudinal axes (Alg) of which are straight and parallel to each other, extending in the direction of at least one face of the cutting rim, from this continuous flange.The blade in accordance with the invention allows reducing the cutting forces, in comparison with a non-ribbed curved blade, as used in the prior art. Indeed, the continuous edge is associated with ribs which serve to reduce the lateral load of this continuous edge. Consequently, it is possible to size the flange and the edge, without any risk of breakage, so as to present a reduced contact surface with the tree, which improves cutting of the matter.