History of Modern Geometry
Timeline
Fermat
· 1636 Pierre de Fermat published “Ad Locos Planos et Solidos lsagoge”
Descartes
Desargues
Pascal
· 1640 “Essay on Conic Sections” was published by Pascal proving him to be a contributor to modern projective geometry.
Desargues
· 1648-1654 “The Generation of Conic Sections” published
Saccheri
Euler
Legendre
Monge
· 1800 “Application de l’Analyse a la Geometrie” was published
Gauss
Lobachevsky
Bolyai
· 1831 Janos Bolyai published his work on the replacement on Euclid’s parallel axiom as an appendix
Reimann
Klein
Hilbert
· 1888 David Hilbert first worked on invariant theory and proved his famous “Basis Theorem” and in 1899 published “Grundlagen der Geometrie” which used 21 axioms
· 1900 gave his famous Paris speech and it was a list of 23 open problems in geometry.
Poncelet
Grassmann
Cayley
Veblen
· 1933 “The Foundations of Differential Geometry” was published and it gave the first definition of a differentiable manifold.