Geodesic
A Central Result from Newton's Principia Mathematica: The Body of Least Resistance
Matematica, cultura e società, Série 1, Tome 6 (2021) no. 2, pp. 115-125.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Following an invitation of Hugo Beirão da Veiga I gave on February, 28, 2018, two lectures at the Centro de Matemática Computacional e Estocástica, Instituto Superior Técnico, Universidade de Lisboa, and I thank him very much for the possibility of presenting theses gems of Newton's inventions. The topics were “Central Results from Newton's Principia Mathematica”, namely “The Body of Least Resistance”, where Newton treats a variational problem in a truly astonishing way, and “The Force of Attraction of a Spherical Body”, where he uses Greek geometry in order to evaluate a singular integral. This paper contains the first lecture.
Su invito di Hugo Beirão da Veiga ho tenuto il 28 febbraio 2018 due conferenze al Centro de Matemática Computacional e Estocástica, Instituto Superior Técnico, Universidade de Lisboa. Rivolgo a lui i miei ringraziamenti per avermi offerto l'occasione di presentare queste preziose scoperte di Newton. Gli argomenti delle conferenze riguardavano “Risultati fondamentali nei Principia Mathematica di Newton”, in particolare “Il corpo di minima resistenza”, dove Newton affronta un problema variazionale in un modo davvero sorprendente, e “La forza di attrazione di un corpo sferico”, dove egli impiega gli strumenti della geometria greca per calcolare un integrale singolare. Il presente articolo offre una versione estesa della prima conferenza. 
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Bemelmans, Josef. A Central Result from Newton's Principia Mathematica: The Body of Least Resistance. Matematica, cultura e società, Série 1, Tome 6 (2021) no. 2, pp. 115-125. http://geodesic.mathdoc.fr/item/RUMI_2021_1_6_2_a1/

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