Centralization, Democracy, Circle

One concept often associated with Political organization is degree of Centralization.  Now, the concept of Centralization entails that of the Circle.  But, the latter has been pervasively compromised by a profound error.  For, a standard definition of Circle is 'a set of points equidistant from some point', the main alternative to which is Spinoza's "the figure described by any line whereof one end is fixed and the other free".  However, neither formula is that of a Circle--each is that of the Circumference of a Circle.  So, while the latter might be suitable as an image of Egalitarianism, it abstracts from all other points of a Circle, notably the Center, which, on the basis of the definitions, is not part of a 'Circle', even while determining it.  Accordingly, Leadership, which can be symbolized as the 'Center' of any Polity, is unthinkable in a Democracy on the basis of that imagery, as is, therefore, any application to that structure of a concept of Centralization.