The author simple assumes that lm317 will enter into short circuit protection mode if lm317 output current is larger then 2A. So 0.7Ω voltage is 2A*0.7Ω = 1.4V and this also means that the emitter current is equal to Ie = (1.4V-Vbe)/0.3Ω = (1.4V - 0.7 V)/0.3Ω = 2.3A. So the load current is Iload = Ie + Ilm3172 = 2A + 2.3A = 4.3A
But I do not like this circuit. Try this circuit
http://www.eleccircuit.com/wp-content/uploads/2009/08/regulator-booster-by-transistor.jpg
But I do not like this circuit. Try this circuit
http://www.eleccircuit.com/wp-content/uploads/2009/08/regulator-booster-by-transistor.jpg




