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Ganita Bharati

Published in Association with Bulletin of The Indian Society for History of Mathematics

Current Volume: 45 (2023 )

ISSN: 0970-0307

Periodicity: Half-Yearly

Month(s) of Publication: June & December

Subject: Mathematics

DOI: https://doi.org/10.32381/GB

Online Access is Free for Life Member

250

Hyperbolic Geometry in the Work of J. H. Lambert

By : Guillaume Théret, Athanase Papadopoulos

Page No: 129-155

Abstract
The memoir Theorie der Parallellinien (1766)* by Johann Heinrich Lambert is one of the founding texts of hyperbolic geometry, even though its author’s aim was, like many of his predecessors’, to prove that such a geometry does not exist. In fact, Lambert developed his theory with the hope of finding a contradiction in a geometry where all the Euclidean axioms are kept except the parallel axiom and where the latter is replaced by its negation. In doing so, he obtained several fundamental results of hyperbolic geometry. This was sixty years before the first writings of Lobachevsky and Bolyai appeared in print.
 

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