Where does “stagium” come from?

stagium (Medieval Latin) comes from Old French estage, from Old French ester, from Latin stō, from Proto-Italic staēō, from Proto-Indo-European sth₂éh₁yeti, from Proto-Indo-European *steh₂-.

Ancestry of “stagium”, step by step

Step	Language	Word	Meaning
1	Old French	estage	house; dwelling; lodging; room; house; building;...
2	Old French	ester	to be; to stay; to remain
3	Latin	stō	to stand
4	Proto-Italic	staēō	stand
5	Proto-Indo-European	sth₂éh₁yeti	to stand
6	Proto-Indo-European	*steh₂-	—

Words derived from “stagium”

stage
onstage
backstage
offstage
stagecoach
multistage
upstage
stagecraft
downstage
stager
substage
stagey
stagehand
stagy
endstage
frontstage
interstage
restage
downstaging
staginess
mainstage
stagelike
stagestruck
centerstage

Every word from Proto-Indo-European *steh₂- →