Yet another proof of the inequality between the arithmetic and the geometric means

This is an exposition of the proof of the inequality between arithmetic and geometric means given by A. Pełczyński (1992), “ Yet another proof of the inequality between the means ”, Annales Societatis Mathematicae Polonae. Seria II. Wiadomości Matematyczne , 29 , p. 223–224. The proof might look bizarre, but I can guess some relation with another paper of the author where he proves uniqueness of…