Middle English vaute, voute, borrowed from Anglo-French voute, volte, going back to Vulgar Latin *volvita "turn, arched structure," noun derivative from feminine of *volvitus, re-formation of Latin volūtus, past participle of volvere "to travel (a circular course), bring round, roll" — more at wallow entry 1
Verb (1)
Middle English vowten, borrowed from Anglo-French vouter, verbal derivative of voutevault entry 1
Verb (2)
probably borrowed from Middle French vouster "to turn about (on horseback), wheel, prance," going back to Vulgar Latin *volvitāre, frequentative of Latin volvere "to travel (a circular course), bring round, roll" — more at wallow entry 1