Douglas Harper's Etymology Dictionary
"render bloodless," 1849, from Latin exsanguinatus "bloodless," as if from a past participle of *exsanguinare, from ex- "out" (see ex-) + sanguinem (nominative sanguis) "blood" (see sanguinary). Related: Exsanguinated; exsanguinating; exsanguination. As an adjective, exsanguine "bloodless" is attested from mid-17c. in literal and figurative use.
Wiktionary
vb. 1 (context transitive English) To kill by means of blood loss. 2 (context intransitive English) To die by means of blood loss. 3 To drain a body (living or dead) of blood.
Usage examples of "exsanguinate".
With his lips pursed in distaste, Balthory took a step back and watched his creator exsanguinate with cold, soulless eyes.
To leave the bedroom I was required to step over the exsanguinating body of my husband.
With each violation the Darhel's body twitched until, practically exsanguinated, with nearly every vital organ including the brain punctured, the alien finally subsided.
It's clear that Goldoni was killed in the kitchen - exsanguinated there.
The medikit said that I was partially exsanguinated and gave me a stiff iron injection to make up for it.
Except, she supposed, a man who'd never woken from an exsanguinated collapse.