R: [HM] QED

Luigi Borzacchini (gibi@pascal.dm.uniba.it)
Wed, 18 Nov 1998 09:22:58 +-100

----------
Maybe it could be interesting to translate what Gino Loria wrote in his "Le scienze esatte nell'antica Grecia, II" Memorie della R. Accademia di Scienze Lettere ed Arti di Modena, Sez. Scienze, vol XI, Serie II, pag. 3-237, (1895):

"...ending with the words 'come dovevasi dimostrare' [italian for latin "quod erat demonstrandum" and for greek "oper edei deixai"] . Such a uniform conclusion, that was no longer employed after Euclid, maybe had its root in often employed didactic lullabies [reference to Tannery, Researches sur l'histoire de l'astronomie ancienne, Paris 1893], and was needed to characterize the nature of the above proposition, because it seems that the headlines 'theorem' and 'problem' are to be ascribed to following commentaries [reference to Proclus' commentary]. - Now this so obeyed regularity seems opposite to Greek people's genius, jelous defender of any forms of liberty; then it is natural to find its origin under another sky: for in the Egyptian Calculator's Manual [actually the Rhind Mathematical Papyrus] the solution of any problem begins with the same words, it has been supposed that the euclidean formula is the most evoluted form of a geometric style, born in Egypt and then transfo!
rmed by many Greek geometers [reference to Cantor's Vorlesungen I, 237, Heiberg's Studien]. This hypothesis is very likely, even though it can not be supported ba any fact." (pag.62)

Yours sincerely,
Luigi Borzacchini