2 papers
math.GT2026
Notes on angles and solid angles, in relation with Euler's memoir De mensura angulorum solidorum
Stelios Negrepontis, Athanase Papadopoulos
We provide some historical context to the study of solid angles carried out by Euler in his memoir \emph{De mensura angulorum solidorum} (On the measure of solid angles). We extend…
math.HO2025
Euler's work on spherical geometry: An overview with comments
Athanase Papadopoulos, Vladimir Turaev
We review Euler's work on spherical geometry. After an introduction concerning the general place that trigonometric formulae occupy in geometry, we start by the two memoirs of Eule…