Hi,
There is no real current sources in the design.
However, the circuit approximates to a current source.
One of the transistors is driven into saturation, there is very small Collector - Emitter voltage. There is also a very small voltage across the capacitor under test.
So the voltage across the resistor is approximately equal to the supply voltage. We have approximately constant voltage across the resistor, therefore approximately constant current.
Jay_Diddy_B