[LibWhacker]

in a republic, they assemble and administer it by their representatives and agents.

Administer it by their elected representatives. It is a form of democracy as surely as a square is a special kind of rectangle.

[philman_36]

It is a form of democracy as surely as a square is a special kind of rectangle.
But you're trying to compare a rectangle to a triangle!
The only thing they share in common is that they're both geometric forms.