Examples: cartography card archaeology archetype monarchy legal loyal purse personal cinema kinase car carpenter hippopotamus Mesopotamia dative data date
...
English demi-
Middle English demi (inherited)
Latin dīmidius (derived)
Latin dis- (mention)
Latin medius (mention)

English demisemiquaver (affix)
English demi-rilievo (affix)
English demisexual (affix)
English demigender (prefix)
English demiboy (prefix)
English demigirl (prefix)
English demipointe (affix)