Eighteenth Century
- 1718 Giulio Carlo Fagnano dei Toschi, rectification of the lemniscate, addition results for elliptic integrals.
- 1736 Euler writes on the pendulum equation without the small-angle approximation.
- 1738 Euler writes on curves of genus 1 considered by Fermat and Frenicle
- 1750 Euler writes on elliptic integrals
- 23 December 1751-27 January 1752: Birth of the theory of elliptic functions, according to later remarks of Jacobi, as Euler writes on Fagnano's work.
- 1775 John Landen publishes Landen's transformation, an isogeny formula.
- 1786 Adrien-Marie Legendre begins to write on elliptic integrals
- 1797 C. F. Gauss discovers double periodicity of the lemniscate function
- 1799 Gauss finds the connection of the length of a lemniscate and a case of the arithmetic-geometric mean, giving a numerical method for a complete elliptic integral.
Read more about this topic: Timeline Of Abelian Varieties
Famous quotes related to eighteenth century:
“F.R. Leavis’s ‘eat up your broccoli’ approach to fiction emphasises this junkfood/wholefood dichotomy. If reading a novel—for the eighteenth century reader, the most frivolous of diversions—did not, by the middle of the twentieth century, make you a better person in some way, then you might as well flush the offending volume down the toilet, which was by far the best place for the undigested excreta of dubious nourishment.”
—Angela Carter (1940–1992)
“Our age is pre-eminently the age of sympathy, as the eighteenth century was the age of reason. Our ideal men and women are they, whose sympathies have had the widest culture, whose aims do not end with self, whose philanthropy, though centrifugal, reaches around the globe.”
—Frances E. Willard 1839–1898, U.S. president of the Women’s Christian Temperance Union 1879-1891, author, activist. The Woman’s Magazine, pp. 137-40 (January 1887)