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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…
math.HO2024
Geometry in the twentieth century: A return to Euclid -- The work of Herbert Busemann
Athanase Papadopoulos
This is a point of view of the work of Herbert Busemann (1905-1994), seen as a return to the geometry of Ancient Greece. The importance of this work, its recognition and its relati…