Examples:
cartography
card
archaeology
archetype
monarchy
legal
loyal
purse
personal
cinema
kinase
car
carpenter
hippopotamus
Mesopotamia
dative
data
date
...
Yiddish
איי
←
Proto-Germanic
*ajją
(inherited)
←
Middle High German
ei
(inherited)
←
Proto-West Germanic
*aij
(inherited)
←
Old High German
ei
(inherited)
→
German
Ei
(cognate)