A surgical device comprising: a handle assembly comprising a rotatable drive shaft; a removable handle assembly adapter for connection to said handle assembly, said removable handle assembly adapter comprising a rotatable transmission shaft (195, 200) for connection to said rotatable drive shaft of said handle assembly; and a removable nosepiece assembly for connection to said removable handle assembly adapter and for selectively securing the shaft of a working element to said rotatable transmission shaft of said removable handle assembly adapter; wherein said removable handle assembly adapter and said removable nosepiece assembly each comprise a locking collar (145C, 145D); and wherein said removable handle assembly adapter and said handle assembly each comprise a connector assembly, said connector assembly comprising: a housing comprising an opening and a canted slot; a collet sleeve disposed within said opening and connected to an input shaft, said collet sleeve comprising a lumen for receiving an output shaft; a locking element movable relative to said collet sleeve between (i) a locked position in which said output shaft is secured to said collet sleeve, and (ii) an unlocked position in which said output shaft is not secured to said collet sleeve; a cam element movable relative to said collet sleeve between (i) a first position in which said locking element is free to assume its said unlocked position, and (ii) a second position in which said cam element cams said locking element into said locked position; a biasing collar for biasing said cam element into said first position; and an element extending through said canted slot and secured to said biasing collar and said locking collar, such that rotation of said locking collar causes said element to move within said canted slot, whereby to cause said biasing collar to move said cam element into said first position; such that movement of said locking collar causes said cam element to move between said first position and said second position; wherein the canted slot comprises a distalmost surface and a proximalmost surface, and includes a canted cam extension which extends distally, and circumferentially, from the proximalmost surface. a handle assembly comprising a rotatable drive shaft; a removable handle assembly adapter for connection to said handle assembly, said removable handle assembly adapter comprising a rotatable transmission shaft (195, 200) for connection to said rotatable drive shaft of said handle assembly; and a removable nosepiece assembly for connection to said removable handle assembly adapter and for selectively securing the shaft of a working element to said rotatable transmission shaft of said removable handle assembly adapter; wherein said removable handle assembly adapter and said removable nosepiece assembly each comprise a locking collar (145C, 145D); and wherein said removable handle assembly adapter and said handle assembly each comprise a connector assembly, said connector assembly comprising: a housing comprising an opening and a canted slot; a collet sleeve disposed within said opening and connected to an input shaft, said collet sleeve comprising a lumen for receiving an output shaft; a locking element movable relative to said collet sleeve between (i) a locked position in which said output shaft is secured to said collet sleeve, and (ii) an unlocked position in which said output shaft is not secured to said collet sleeve; a cam element movable relative to said collet sleeve between (i) a first position in which said locking element is free to assume its said unlocked position, and (ii) a second position in which said cam element cams said locking element into said locked position; a biasing collar for biasing said cam element into said first position; and an element extending through said canted slot and secured to said biasing collar and said locking collar, such that rotation of said locking collar causes said element to move within said canted slot, whereby to cause said biasing collar to move said cam element into said first position; a housing comprising an opening and a canted slot; a collet sleeve disposed within said opening and connected to an input shaft, said collet sleeve comprising a lumen for receiving an output shaft; a locking element movable relative to said collet sleeve between (i) a locked position in which said output shaft is secured to said collet sleeve, and (ii) an unlocked position in which said output shaft is not secured to said collet sleeve; a cam element movable relative to said collet sleeve between (i) a first position in which said locking element is free to assume its said unlocked position, and (ii) a second position in which said cam element cams said locking element into said locked position; a biasing collar for biasing said cam element into said first position; and an element extending through said canted slot and secured to said biasing collar and said locking collar, such that rotation of said locking collar causes said element to move within said canted slot, whereby to cause said biasing collar to move said cam element into said first position; such that movement of said locking collar causes said cam element to move between said first position and said second position; wherein the canted slot comprises a distalmost surface and a proximalmost surface, and includes a canted cam extension which extends distally, and circumferentially, from the proximalmost surface.