The equipment includes at least one connecting bar (3), at least one flexible ligament (2), and at least one connector (1 ) making it possible to connect said ligament (2) to said connecting bar (3), the connector (1 ) including a first conduit for engaging the connecting bar (3), equipped with means (16) for immobilizing the connector (1 ) relative to said connecting bar (3), and a second conduit (13) for receiving at least one strand of the ligament (2), ), having an insertion opening (18) for this or these strands and an outlet opening for this or these strands, and equipped with means (20) for mobilizing the ligament (2) relative to the connector (1 ) According to the invention: - said second conduit (13) is rectilinear between said insertion opening (18) of the strand(s) of the ligament and said outlet opening, and - said second conduit (13) has a transverse section adjusted to the transverse section of the strand(s) of the ligament that it is intended to receive, i.e. a transverse section just sufficient to allow sliding of the strand(s) of the ligament in said second conduit, but such that the strand(s) are in close contact with the walls delimiting said second conduit.
