Examples:
cartography
card
archaeology
archetype
monarchy
legal
loyal
purse
personal
cinema
kinase
car
carpenter
hippopotamus
Mesopotamia
dative
data
date
...
Italian
gaio
←
English
gay
(cognate)
←
French
gai
(cognate)
←
Latin
vagus
(derived)
←
Old Occitan
gai
(cognate)
←
Portuguese
gaio
(cognate)
→
Esperanto
gaja
(derived)
→
Spanish
guay
(cognate)
→
French
gai
(cognate)
→
Galician
gaio
(cognate)
→
Italian
gaiezza
(suffix)
→
Italian
gaiamente
(suffix)
→
Old Portuguese
gai
(cognate)