Evolution of Geometry

  • Period: Jan 1, 1500 to

    Geometry Timeline

  • Girard Desargues (1591-1661)

    Girard Desargues (1591-1661)
  • Rene Descartes 1596-1650 A.D.

    Rene Descartes 1596-1650 A.D.
    Applied algebra to geometry .
  • Pierre de Fermat (1601-1665)

    Pierre de Fermat (1601-1665)
    Determining maxima, minima and tangents to curved lines .
  • Blaise Pascal (1623-1662)

    Blaise Pascal (1623-1662)
    Co-inventor of modern projective geometry.
    Proved many geometry theorems, the earliest including "Pascal's mystic hexagon" (1639).
  • Leonhard Euler (1707-1783)

    Leonhard Euler (1707-1783)
    He invented the idea of functions .
  • Gaspard Monge (1746-1818)

    Gaspard Monge (1746-1818)
    Introduced the concept of lines of curvature on a surface .
  • Carl Friedrich Gauss (1777-1855)

    Carl Friedrich Gauss (1777-1855)
    Founder of differential geometry.
  • Hermann Grassmann (1809-1877)

    Hermann Grassmann (1809-1877)
    Creator of vector analysis and the vector interior (dot) and exterior (cross) products.
  • Arthur Cayley (1821-1895)

    Arthur Cayley (1821-1895)
    Worked with matrices .
  • Bernhard Riemann (1826-1866)

    Bernhard Riemann (1826-1866)
    Developed geodesic coordinate systems .
  • Felix Klein (1849-1925)

    Felix Klein (1849-1925)
    Is best known for his work on the connections between geometry and group theory.
  • David Hilbert (1862-1943)

    David Hilbert (1862-1943)
    Proved his famous "Basis Theorem" (1888).
  • Oswald Veblen (1880-1960)

    Oswald Veblen (1880-1960)
    Developed "A System of Axioms for Geometry" (1903) .
  • Donald Coxeter (1907-2003)

    Donald Coxeter (1907-2003)
    Contributions to the theory of polytopes, non-Euclidean geometry, group theory and combinatorics.
  • Period: to

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