late 14c., from Medieval Latin trachea (13c.), as in trachea arteria, from Late Latin trachia, from Greek trakheia, in trakheia arteria "windpipe," literally "rough artery" (so called from the rings of cartilage that form the trachea), from fem. of trakhys "rough," from PIE *dhre-gh-, suffixed form of root *dher- (1). See artery for connection with windpipe in Greek science. Related: Tracheal.
"orifice, small opening in an animal body," 1680s, Modern Latin, from Greek stoma (genitive stomatos) "mouth; mouthpiece; talk, voice; mouth of a river; any outlet or inlet," from PIE root *stom-en-, denoting various body parts and orifices (source also of Avestan staman- "mouth" (of a dog), Hittite shtamar "mouth," Middle Breton staffn "mouth, jawbone," Cornish stefenic "palate"). Surgical sense is attested from 1937.
<a href="https://www.etymonline.com/word/tracheostomy">Etymology of tracheostomy by etymonline</a>
Harper, D. (n.d.). Etymology of tracheostomy. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/tracheostomy