1838, from French turbine (19c.), from Latin turbinem (nominative turbo) "spinning top, eddy, whirlwind, that which whirls," related to turba "turmoil, crowd" (see turbid). Originally applied to a wheel spinning on a vertical axis driven by falling water. Turbo in reference to gas turbine engines is attested from 1904.
"A telescope mounting that moves in azimuth (about a vertical axis) and in altitude (about a horizontal axis)", Mid 19th century: blend of altitude and azimuth.