Supervisors info:
Στυλιανός Νεγρεπόντης, Ομότιμος Καθηγητής, Τμήμα Μαθηματικών, Σχολή Θετικών Επιστημών, ΕΚΠΑ
Βασιλική Φαρμάκη, Καθηγήτρια
Μιχαήλ Ανούσης, Καθηγητής
Summary:
The current thesis presents Book VI of Euclid's Elements based mainly on (a) the Notes of the postgraduate course "History of Ancient Greek Mathematics - Euclid's Elements" by S. Negrepontis in the Postgraduate Program “Teaching and Methodology of Mathematics”, and (b) the unpublished Stylianos’ Negrepontis and Vasiliki’s Farmaki work [NF2], which is a draft for a part of volume 2 of the «History of Ancient Greek Mathematics», which they write, and which I use with the permission of the authors. The main concern of the work [NF2] is, on the one hand, the emergence of those propositions that use Eudoxus’s Principle (Definition V.4) and its consequence, Proposition V.8 (and the equivalent contraposition V.9) and, on the other hand, the presentation of substantially simpler proofs of the basic Propositions of Book VI, including the Propositions VI.23, VI.25, VI.27-31. The presentation of Book VI of Euclid's Elements in a preliminary form was given to Ioanna’s Dorgiaki thesis [D]