Solution of Some Problems Relative to Spherical Triangles with a Complete Analysis of These Triangles

Joseph-Louis Lagrange
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Joseph-Louis Lagrange: Université de Strasbourg et CNRS, Institut de Recherche Mathématique Avancée

Chapter Chapter 18 in Spherical Geometry in the Eighteenth Century I, 2026, pp 377-400 from Springer

Abstract: Abstract In this memoir, Lagrange establishes a complete system of formulae of spherical trigonometry. Using these formulae, he establishes a formula for the area of a triangle in terms of its sides lengths, that is, a spherical Heron formula. At the end of his memoir, Lagrange makes a comparison between the Euclidean and the spherical formulae and he establishes a relation between them.

Keywords: Spherical trigonometry; Joseph-Louis Lagrange; History of spherical geometry; Mathematics in the eighteenth century; 01A50; 51-03; 53A05; 53A35 (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-12466-1_18

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DOI: 10.1007/978-3-032-12466-1_18

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