A three-dimensional measuring device, comprising an arm having a free end provided with an interface body carrying a measuring member and a grip member enabling an operator to point the measuring member at a zone of the object that is to be measured. The measuring member includes a connector to be electrically connected to a corresponding connector of the interface body by a fastener mechanism that is controllable by a lever and that is arranged in such a manner that the lever controls the fastener mechanism to occupy selectively a snap-fastening state in which the measuring member is held on the interface body while the connectors are disengaged from each other, a locking state in which the measuring member is fastened to the interface body and the connectors are engaged with each other, or a release state in which the measuring member can be separated from the interface body. |