6 citations · 11 across the 6 of their papers we have counts for
Showing math.HOShow all
2 papers · 1 filter
math.HO2026
The Birth of Number Theory (Book VII of Euclid's Elements) from the Arithmetization of Pythagorean Music
Stelios Negrepontis, Vassiliki Farmaki, Angeliki Pisimisi
Book VII of Euclid's Elements represents a remarkable mathematical achievement, marking the birth of number theory. Although it falls short of explicitly stating the Fundamental Th…
math.HO2025
The anthyphairetic reconstruction of the original Pythagorean proof of incommensurability, by means of the restoration of Book II of the Elements to its original Pythagorean form
Stelios Negrepontis, Vassiliki Farmaki
Unquestionably the greatest discovery of the Pythagoreans is the existence of incommensurable magnitudes, most probably the incommensurability of the diameter to the side of a squa…