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20032026
most citedEuler and Chebyshev: From the sphere to the plane and backwards

12 citations

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5 papers · 2 filters

math.HO2025

Galilei and Huygens: Music and science

Athanase Papadopoulos

Vincenzo Galilei and Constantijn Huygens were both humanists and eminent musicians, the former from the late Renaissance and the latter from the early Modern era. Their respective…

math.HO2025

Andr{é} and Simone Weil: Mathematics, social activism and Indian culture

Athanase Papadopoulos, Susumu Tanabé

This is an essay on the relation of Andr{é} and Simone Weil with Indian culture and Sanskrit literature, especially the Bhagavad G{ī}t{ā}, a Hindu scripture which they knew well, w…

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.HO2025

The mathematics of periodic anthyphairesis as a basis for the full understanding of Plato's philosophy

Stelios Negrepontis, Athanase Papadopoulos

Even though Plato's philosophy in ancient times was always closely associated with mathematics, modern Platonic scholarship, during the last five centuries, has moved steadily towa…

math.HO2025

On the Marinus--Ptolemy and Delisle--Euler conical maps

Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos

We examine connections between the mathematics behind methods of drawing geographical maps due, on the one hand to Marinos and Ptolemy (1st-2nd c. CE) and on the other hand to Deli…