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Then what would you call the collector voltage? Vcc is used as the supply name which is connected to the other end of the load resistor, i.e., one end of the load resistor is connected to Vcc while the other end is connected to Vc. Supply nodes are usually named Vcc, Vdd, Vee, Vss, etc.
from what I recall, the double letter notation is meant for commonality and to distinguish that rail from an individual collector (or emitter or drain or source) voltage. So one or more collectors can be tied to Vcc while Vc refers to a single collector voltage.