if the input is 10V the output is 10V.p.p.
If you write only of the current mirror you have drawn in the first post, and not of the entire circuit, then you really should speak of input voltage, but output current.
Since the base and collector of the left transistor are connected together, the base voltage is emitter voltage + the junction voltage. Often estimated as 0.7V, but the junction voltage is dependent on both current and temperature, so consider that only an estimate, not an exact value.
The rest of the left transistor circuit can be analyzed as a resistor voltage divider, dividing the control voltage between R28, R27, and R22, with the addition of a 0.7V voltage source in the middle of the string.
Once you have calculated the current through that string of resistors and the transistor junction, note that since the base of the second transistor is connected to the base of the first transistor, and the resistance in the emitter circuit is the same, the voltage across the base-emitter junction must be the same, and therefore the current through the emitter resistor of the second transistor must be the same as the current through the emitter resistor of the first transistor.
Since the emitter current and collector current are very close, different only by the current through the base, the collector current of the second transistor must be very close to the collector current of the first transistor as well.
The voltage at the collector of the second transistor is not well defined, usually the collector voltage is determined by the rest of the circuit connected to the collector.
There are a lot of details that make the current not match perfectly between the two transistors, which has resulted in circuit variations using additional transistors (bipolar or MOSFET) that reduce the inaccuracy. Note also that the assumption is that the two transistors match characteristics almost exactly, and stay at the same temperature. That is why paired devices in the same package are often used for current mirrors (as well as differential pairs).
This web page has a good discussion of current mirrors, although most circuit textbooks will cover it as well:
Current mirror page at Electronics wiki at Analog Devices