The « Spherics » by Menelaus of Alexandria (1st-2nd c. A.D.) is probably the most important treatise ever written on spherical geometry. It is a profound work, introducing new methods in geometry, intrinsic to the sphere, containing 91 propositions, some of which are very difficult to prove. An edition, from Arabic texts (the Greek original does not survive), was just published by De Gruyter, in their series Scientia Graeco-Arabica, No. 21
https://www.degruyter.com/view/product/496630
This publication contains the first English translation of Menelaus’ treatise together with an extensive commentary. In this talk, I will present the content of the Spherics and explain some of the major theorems it contains.