These were all simple genitive syllogisms. However, there
was, quite literally, a "diabolical" trick to it:
ENGLISH is to ENGLAND as AMERICAN is to... AMERICA.
GEOGRAPHER is to GEOGRAPHY as MATHEMATICIAN is to... MATHEMATICS.
ANGELIC is to ANGEL as DEMOTIC is to... THE PEOPLE.
(The word is DEMOTIC, as in DEMOCRACY, not DEMONIC.)
PARIS is to FRANCE as ROME is to... ITALY.