It’s about time. We are now on Instagram!
1560s, from Latin eliminatus, past participle of eliminare "thrust out of doors, expel," from ex limine "off the threshold," from ex "off, out" (see ex-) + limine, ablative of limen "threshold" (see limit (n.)).
Used literally at first; sense of "exclude" first attested 1714; sense of "expel waste from the body" is c.1795. Related: Eliminated; eliminating; eliminative; eliminatory.