Foreword by Dr. Mathematician Yiannis Thomaidis , professor of the Experimental School of the University of Macedonia.

Two fundamental conditions of modern research in the History of Mathematics are the thorough study of the original texts and their interpretation based on the cognitive and methodological tools of the scientific tradition to which they belong.

In order to fulfill these two conditions, the researcher of ancient Greek Mathematics must have at his disposal the ancient texts, but also a broad knowledge of the historical context that constitutes the Greek mathematical tradition. But this knowledge does not come only from the study of the leading works, but also from the use of the valuable information provided by minor mathematicians or commentators. It is known that most of the historical information about the Greek mathematical tradition comes from the comments written by Proclus on the 1st book of the "Elements", as a result of his teaching engagement with this work in the 5th century AD.

The two small works on the properties of convex regular polyhedra, which survived as additions to Euclid 's "Elements" (the so-called 14th and 15th books respectively), one written by Hypsicles of Alexandria (2nd century BC) and the other ( probably) by a student of the Milesian architect of Hagia Sophia Isidoros (6th century AD), confirm the previous claim.