Spherical Geometry in the Eighteenth Century I
Euler, Lagrange and Lambert
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Product details:
- Publisher Springer Nature Switzerland
- Date of Publication 26 June 2026
- ISBN 9783032124654
- Binding Hardback
- No. of pages442 pages
- Size 235x155 mm
- Language English
- Illustrations XVII, 442 p. 1 illus. 700
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Long description:
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Table of Contents:
1 Introduction by Renzo Caddeo and Athanase Papadopoulos.- Part I: Essays.- 2 Euler’s work on spherical geometry: An overview with comments by Athanase Papadopoulos and Vladimir Turaev.- 3 An introduction to spherical geometry based on fundamental works of Euler and Lagrange by Charalampos Charitos.- 4 On Euler’s memoir A construction relative to a problem of Pappus of Alexandria by Guillaume Théret.- 5 Notes on angles and solid angles, in relation with Euler’s memoir De mensura angulorum solidorum by Stelios Negrepontis and Athanase Papadopoulos.- 6 On the life and work of Johann Heinrich Lambert by Athanase Papadopoulos.- 7 A review of Johann Heinrich Lambert’s memoir Theorie der Parallellinien by Athanase Papadopoulos and Guillaume Théret.- 8 The pentagramma mirificum from Napier to Lambert: Notes on Lambert’s memoir on spherical trigonometry by Annette A’Campo-Neuen.- 9 Spherical trigonometry before the modern era: The treatise of Naá1£Ä«r al-DÄ«n al-á1¬Å«sÄ« by Athanase Papadopoulos.- 10 The polar triangle, from Ibn Ê¿IrÄ-q to Euler and Lagrange by Athanase Papadopoulos.- Part II: Sources.- 11 Principles of spherical trigonometry deduced from the method of maxima and minima by Leonhard Euler. Translated from the French by Athanase Papadopoulos and Alena Zhukova.- 12 General spherical trigonometry, deduced from fundamental principles in a brief and clear
manner by Leonhard Euler. Translated from the Latin by Renzo Caddeo.- 13 Various speculations on the area of spherical triangles by Leonhard Euler. Translated from the Latin by Renzo Caddeo.- 14 On the measure of solid angles by Leonhard Euler. Translated from the Latin by Renzo Caddeo.- 16 A construction relative to a problem of Pappus of Alexandria by Leonhard Euler. Translated from the Latin by Renzo Caddeo.- 17 Algebraic solution of a problem in geometry
by Joseph-Louis Lagrange. Translated from the French by Athanase Papadopoulos.- 18 Solution of some problems relative to spherical triangles with a complete analysis of these triangles by Joseph-Louis Lagrange. Translated from the French by Vincent Alberge and Athanase Papadopoulos.- 19 Notes and Comments on Trigonometry by Johann-Heinrich Lambert. Translated from the German by Annette A’Campo Neuen.- 15 Some questions of the geometry of the plane and of the sphere by Leonhard Euler. Translated from the Latin by Renzo Caddeo.
