Sentence Examples

  • These papers are chiefly geometrical, many of them being developments and applications of the methods laid down in his great work, Der barycentrische Calcul (Leipzig, 1827), which, as the name implies, is based upon the properties of the mean point or centre of mass (see Algebra: Universal).
  • The arithmetical half of mathematics, which had been gradually growing into algebra, and had decidedly established itself as such in the Ad logisticen speciosam notae priores of Francois Vieta (1540-1603), supplied to some extent the means of generalizing geometry.
  • In this and other details he crowns and completes, in a form henceforth to be dominant for the language of algebra, the work of numerous obscure predecessors, such as Etienne de la Roche, Michael Stifel or Stiefel (1487-1567), and_ others.
  • In pure algebra Descartes expounded and illustrated the general methods of solving equations up to those of the fourth degree (and believed that his method could go beyond), stated the law which connects the positive and negative roots of an equation with the changes of sign in the consecutive terms, and introduced the method of indeterminate coefficients for the solution of equations.'
  • When algebra had advanced to the point where exponents were introduced, nothing would be more natural than that their utility as a means of performing multiplications and divisions should be remarked; but it is one of the surprises in the history of science that logarithms were invented as an arithmetical improvement years before their connexion with exponents was known.

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