Abstract: A surgical system includes first and second elements. The first element has a first bearing face and a first helical surface extending from the first bearing face. The second element comprises a second bearing face, complementary to the first bearing face, a second helical surface extending from the second bearing face and congruent with the first helical surface so that the helical surfaces form a helical connection centered on an axis, and a mechanism for controlling reversible connection between the elements, the mechanism being suitable for successively actuating according to a first movement, which includes an axial translation without involving any rotation and by which the mechanism meshes the helical surfaces until the bearing faces are axially juxtaposed, a second movement, which is a rotation about the axis and by which the mechanism locks the helical connection while the bearing faces are pressed axially against each other.