Where does “bounde” come from?

bounde (Middle English) comes from Old French bunne, from Medieval Latin bodina, from Proto-Indo-European bʰudʰmḗn, from Proto-Indo-European dʰewbʰ-, from Proto-Indo-European dʰewh₂- — smoke; mist, haze.

Ancestry of “bounde”, step by step

Step	Language	Word	Meaning
1	Old French	bunne	—
2	Medieval Latin	bodina	—
3	Proto-Indo-European	bʰudʰmḗn	bottom
4	Proto-Indo-European	dʰewbʰ-	deep
5	Proto-Indo-European	dʰewh₂-	smoke; mist, haze

Every word from Proto-Indo-European dʰewh₂- →Every word from Proto-Indo-European dʰewbʰ- →Every word from Proto-Indo-European bʰudʰmḗn →