Etymology
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choreography (n.)
1789, from French choréographie, coined from Latinized form of Greek khoreia "dance" (see chorus) + graphein "to write" (see -graphy). Related: Choreographic.
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choreograph (v.)

1928, American English, back-formation from choreography, or else from French choréographier (1827). Figurative sense from c. 1965. Related: choreographed.

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choreographer (n.)
1829, from choreography + -er (1). Choreographist (1857) did not thrive. In Greek, a person who trained a chorus was a khorodidaskelikos.
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