Spherical Geometry in the Eighteenth Century I

Edited by Renzo Caddeo () and Athanase Papadopoulos ()

in Springer Books from Springer

Date: 2026
ISBN: 978-3-032-12466-1
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Chapters in this book:

Ch Chapter 1 Introduction

Renzo Caddeo and Athanase Papadopoulos

Ch Chapter 10 The Polar Triangle, from Ibn ‘Irāq to Euler and Lagrange

Athanase Papadopoulos

Ch Chapter 11 Principles of Spherical Trigonometry Deduced from the Method of Maxima and Minima

Leonhard Euler

Ch Chapter 12 General Spherical Trigonometry, Deduced from Fundamental Principles in a Brief and Clear Manner

Leonhard Euler

Ch Chapter 13 Various Speculations on the Area of Spherical Triangles

Leonhard Euler

Ch Chapter 14 On the Measure of Solid Angles

Leonhard Euler

Ch Chapter 15 A Construction Relative to a Problem of Pappus of Alexandria

Leonhard Euler

Ch Chapter 16 Some Questions of the Geometry of the Plane and of the Sphere

Leonhard Euler

Ch Chapter 17 Algebraic Solution of a Problem in Geometry

Joseph-Louis Lagrange

Ch Chapter 18 Solution of Some Problems Relative to Spherical Triangles with a Complete Analysis of These Triangles

Joseph-Louis Lagrange

Ch Chapter 19 Notes and Comments on Trigonometry

Johann Heinrich Lambert

Ch Chapter 2 Euler’s Work on Spherical Geometry: An Overview with Comments

Athanase Papadopoulos and Vladimir Turaev

Ch Chapter 3 An Introduction to Spherical Geometry Based on Fundamental Works of Euler and Lagrange

Charalampos Charitos

Ch Chapter 4 Notes on Euler’s Memoir A Construction Relative to a Problem of Pappus of Alexandria

Guillaume Théret

Ch Chapter 5 Notes on Angles and Solid Angles, in Relation with Euler’s Memoir De Mensura Angulorum Solidorum

Stelios Negrepontis and Athanase Papadopoulos

Ch Chapter 6 On the Life and Work of Johann Heinrich Lambert

Athanase Papadopoulos

Ch Chapter 7 Johann Heinrich Lambert’s Memoir Theorie der Parallellinien: A Review with Commentary

Athanase Papadopoulos and Guillaume Théret

Ch Chapter 8 The Pentagramma Mirificum from Napier to Lambert: Notes on Lambert’s Memoir on Spherical Trigonometry

Annette A’Campo-Neuen

Ch Chapter 9 Spherical Trigonometry Before the Modern Era: The Treatise of Naṣı̄r al-Dı̄n al-Ṭūsı̄

Athanase Papadopoulos

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

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