All republics might be democracies, but not all democracies are republics, which was my point:

http://en.wikipedia.org/wiki/Direct_democracy

http://lexrex.com/enlightened/AmericanIdeal/aspects/demrep.h...

Right. Democracy is subclassed into Republic and DirectDemocracy; Republic is further subclassed, one such subclass among many being CrownedRepublic, such as the UK.