gen·er·a·trix 
(jĕn′ə-rātrĭks)
(jĕn′ə-rātrĭks)n. pl. gen·er·a·tri·ces (-ə-rātrĭ-sēz′, -ər-ə-trīsēz)
A geometric element that generates a geometric figure, especially a straight line that generates a surface by moving in a specified fashion. Also called generator.