I can see when it comes to fact or definition, you are a modern day liberal. Just stomp your feet, hold your breath and hope someone agrees with you when you are clearly wrong. A Democracy has one meaning. A Republic has one meaning. In their classical form and definition they are not synonymous, no matter how much you try to make it so. Hence the reason for combined forms of both types of governments. At least get your shit straight before attempting to act like you know what you are talking about.
Democracy definition: a system of government by the whole population or all the eligible members of a state, typically through elected representatives.