Rigging sail comprising two films of plastics material (5, 6) which are laminated to one another, - between the two films of plastics material (5, 6) there are interposed, in a superposition direction defined by the thickness of the films, both: ∘ a reinforcing mesh which has a pre-established pattern of repetition; and ∘ at least one individual textile reinforcing thread (81, 82, 83) which is oriented along a predetermined force line, characterised in that the or each textile reinforcing thread (81, 82, 83) comprising: • a plurality of filaments which are joined to form an elongate unitary body, and • a binder for cohesion between at least some of the filaments of the unitary body, which binder is constituted by an adhesive, - in cross-section, the unitary body has an oblong contour of which the ratio between its maximum width (e), which corresponds to a thickness of the unitary body, and its maximum length ( l), which corresponds to a width of the unitary body, is less than 0.06, a plurality of filaments following one another over the thickness of the unitary body, - the or each textile reinforcing thread (81, 82, 83) is arranged so that, in cross-section, the width (e) of the oblong contour of its unitary body extends in the superposition direction, and - the or each reinforcing thread (81, 82, 83) covers only a limited fraction of the facing surface of each of the two films (5, 6). - between the two films of plastics material (5, 6) there are interposed, in a superposition direction defined by the thickness of the films, both: ∘ a reinforcing mesh which has a pre-established pattern of repetition; and ∘ at least one individual textile reinforcing thread (81, 82, 83) which is oriented along a predetermined force line, characterised in that the or each textile reinforcing thread (81, 82, 83) comprising: • a plurality of filaments which are joined to form an elongate unitary body, and • a binder for cohesion between at least some of the filaments of the unitary body, which binder is constituted by an adhesive, ∘ a reinforcing mesh which has a pre-established pattern of repetition; and ∘ at least one individual textile reinforcing thread (81, 82, 83) which is oriented along a predetermined force line, characterised in that the or each textile reinforcing thread (81, 82, 83) comprising: • a plurality of filaments which are joined to form an elongate unitary body, and • a binder for cohesion between at least some of the filaments of the unitary body, which binder is constituted by an adhesive, • a plurality of filaments which are joined to form an elongate unitary body, and • a binder for cohesion between at least some of the filaments of the unitary body, which binder is constituted by an adhesive, - in cross-section, the unitary body has an oblong contour of which the ratio between its maximum width (e), which corresponds to a thickness of the unitary body, and its maximum length ( l), which corresponds to a width of the unitary body, is less than 0.06, a plurality of filaments following one another over the thickness of the unitary body, - the or each textile reinforcing thread (81, 82, 83) is arranged so that, in cross-section, the width (e) of the oblong contour of its unitary body extends in the superposition direction, and - the or each reinforcing thread (81, 82, 83) covers only a limited fraction of the facing surface of each of the two films (5, 6).