2 papers
math.HO2025
The restoration of Book X of the Elements to its original Theaetetean form
Stelios Negrepontis, Dimitrios Protopapas
In the present work, we aim to restore Book X of the to its original Theaetetean, pre-Eudoxean form in two separate ways. First, we restore the considerable mathema…
math.HO2025
The Reconstruction of Theaetetus' Theory of Ratios of Magnitudes
Stelios Negrepontis, Dimitrios Protopapas
In the present chapter, we obtain the reconstruction of Theaetetus' theory of ratios of magnitudes based, according to Aristotle's Topics 158b, on the definition of proportion in t…