Examples:
cartography
card
archaeology
archetype
monarchy
legal
loyal
purse
personal
cinema
kinase
car
carpenter
hippopotamus
Mesopotamia
dative
data
date
...
Latin
piget
←
Proto-Indo-European
*peyǵ-
(root)
←
Proto-Indo-European
*peyǵ-
(derived)
→
English
fike
(cognate)