Mathematicians Apollonius of Perga - euclidean geometry, conic sections Archimedes - euclidean geometry Janos Bolyai - non-euclidean geometry Lazare Nicolas Marguerite Carnot - projective geometry Arthur Cayley Shiing-Shen Chern - differential geometry J. H. Conway - sphere packing, recreational geometry H. S. M. Coxeter -- polytopes, projective geometry, ... Germinal Dandelin -- Dandelin spheres in conic sections Julius Wilhelm Richard Dedekind René Descartes -- invented the methodology analytic geometry Gergonne - projective geometry Girard Desargues (projective geometry, Desargues' theorem) Eratosthenes - euclidean geometry Euclid - Thirteen Books of Euclid La Hire - projective geometry Leonhard Euler - everything Karl Wilhelm Feuerbach - euclidean geometry Hero of Alexandria - euclidean geometry Hypatia of Alexandria - euclidean geometry Felix Klein Sofia Vasilyevna Kovalevskaya Nikolai Ivanovich Lobachevsky - non-euclidean geometry Hermann Minkowski - non-euclidean geometry August Ferdinand Möbius - euclidean geometry Gaspard Monge - differential geometry Emmy Noether - ?? algebraic geometry Blaise Pascal - projective geometry Julius Plucker Henri Poincaré Jean Victor Poncelet - projective geometry Pappus of Alexandria - euclidean geometry Siméon-Denis Poisson Pythagoras - euclidean geometry Bernhard Riemann - non-euclidean geometry Giovanni Gerolamo Saccheri - non-euclidean geometry Jakob Steiner - a champion of synthetic geometry methodology, projective geometry, euclidean geometry Thales of Miletus - euclidean geometry Zeno - euclidean geometry Others Albert Einstein - non-euclidean geometry Maurits Cornelis Escher Buckminster Fuller Leonardo da Vinci - euclidean geometry Isacc Newton - 3rd degree algebraic curves Carl Friedrich Gauss - (what's his contribution specific to geometry??)