Spherical geometry in the eighteenth century I Euler, Lagrange and Lambert Renzo Caddeo, Athanase Papadopoulos, editors

Format:

Book

Contributor:

Caddeo, R. (Renzo), editor.

Papadopoulos, Athanase, editor.

Language:

English

Subjects (All):

solids (geometric).

Geometry, Solid.

Sphere.

Physical Description:

1 online resource

Other Title:

Euler, Lagrange and Lambert

Place of Publication:

Cham, Switzerland Springer [2026]

Summary:

"This volume is the first English edition, with commentaries and introductory material, of the writings on spherical geometry by Leonhard Euler, Joseph-Louis Lagrange and Johann Heinrich Lambert. The book is divided into two parts. The first part contains essays related the works by Euler, Lagrange and Lambert on spherical geometry. The goal of these essays is to include these works in the appropriate mathematical, historical and philosophical contexts. The second part of the volume is devoted to the English translations of the original memoirs, originally written in Latin, French and German. These translations are new and they are done by mathematicians who are involved in the subjects of the memoirs. Footnotes by the editors and the translators are appended to the translations. The book is addressed to students and researchers in geometry. It constitutes an invaluable reference in mathematics, and also in the history and philosophy of mathematics"-- Springer Nature Link

Contents:

Euler’s work on spherical geometry : an overview with comments / Athanase Papadopoulos and Vladimir Turaev

An introduction to spherical geometry based on fundamental works of Euler and Lagrange / Charalampos Charitos

Notes on Euler’s memoir A construction relative to a problem of Pappus of Alexandria / Guillaume Théret

Notes on angles and solid angles, in relation with Euler’s memoir De mensura angulorum solidorum / Stelios Negrepontis and Athanase Papadopoulos

On the life and work of Johann Heinrich Lambert / Athanase Papadopoulos

Johann Heinrich Lambert’s memoir Theorie der Parallellinien : a review with commentary / Athanase Papadopoulos and Guillaume Théret

Spherical trigonometry before the modern era : the treatise of Nasir al-Din al-Tusi / Athanase Papadopoulos

The polar triangle, from Ibn ‘Iraq to Euler and Lagrange / Athanase Papadopoulos

Principles of spherical trigonometry deduced from the method of maxima and minima / Leonhard Euler

General spherical trigonometry, deduced from fundamental principles in a brief and clear manner / Leonhard Euler

Various speculations on the area of spherical triangles / Leonhard Euler

On the measure of solid angles / Leonhard Euler

A construction relative to a problem of Pappus of Alexandria / Leonhard Euler

Some questions of the geometry of the plane and of the sphere / Leonhard Euler

Algebraic solution of a problem in geometry / Joseph-Louis Lagrange

Solution of some problems relative to spherical triangles with a complete analysis of these triangles / Joseph-Louis Lagrange

Notes and comments on trigonometry / Johann Heinrich Lambert

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (Springer Nature Link, viewed July 20, 2026)

Contains:

Container of: Euler, Leonhard, 1707-1783. Works. Selections. English.

Container of: Lagrange, J. L. (Joseph Louis), 1736-1813. Works. Selections. English.

Container of: Lambert, Johann Heinrich, 1728-1777. Work. Selections. English.

Other Format:

Print version Spherical geometry in the eighteenth century

ISBN:

9783032124661

3032124662

OCLC:

1605487049

Access Restriction:

Restricted for use by site license