• rules for constructing it in 1570. Pascal's Traité du triangle arithmétique (Treatise on Arithmetical Triangle) was published posthumously in 1665. In this...
    52 KB (7,654 words) - 18:41, 9 May 2024
  • Thumbnail for Blaise Pascal
    Blaise Pascal (category Burials at Saint-Étienne-du-Mont)
    experiment on equilibrium in liquids] (1648) Traité du triangle arithmétique [Treatise on the arithmetical triangle] (written c. 1654; publ. 1665) Lettres provinciales...
    59 KB (6,878 words) - 07:13, 6 May 2024
  • (1+x)^{n-1}} , via "Pascal's triangle". Blaise Pascal studied the eponymous triangle comprehensively in his Traité du triangle arithmétique. However, the pattern...
    35 KB (6,249 words) - 08:28, 22 April 2024
  • Thumbnail for Mathematics in the medieval Islamic world
    formulation of the principle of induction was given by Pascal in his Traité du triangle arithmétique (1665). In between, implicit proof by induction for arithmetic...
    47 KB (5,496 words) - 00:20, 20 March 2024
  • 239. Katz, op.cit., Section 11.3.2 Pascal, Blaise (1665). Traité du triangle arithmétique. Digital facsimile Archived 2004-08-03 at the Wayback Machine...
    9 KB (1,482 words) - 12:29, 1 May 2023
  • his Traité du triangle arithmétique in which he describes a convenient tabular presentation for binomial coefficients, now called Pascal's triangle. Blaise...
    3 KB (210 words) - 18:34, 1 January 2023
  • Thumbnail for Mathematical induction
    formulation of the principle of induction was given by Pascal in his Traité du triangle arithmétique (1665). Another Frenchman, Fermat, made ample use of a related...
    47 KB (6,859 words) - 07:50, 3 April 2024
  • Thumbnail for Ars Conjectandi
    eponymous Pascal's triangle, an important combinatorial concept. He referred to the triangle in his work Traité du triangle arithmétique (Traits of the Arithmetic...
    31 KB (3,967 words) - 12:48, 8 April 2024
  • influenced mathematics throughout his life. His Traité du triangle arithmétique ("Treatise on the Arithmetical Triangle") of 1653 described a convenient tabular...
    143 KB (16,402 words) - 02:17, 23 April 2024
  • Baltasar Gracián – El criticón (second part) Blaise Pascal – Traité du triangle arithmétique Jeremy Taylor – Twenty-five Sermons Sir Thomas Urquhart First...
    6 KB (622 words) - 09:15, 17 February 2023
  • ballets de cour Blaise Pascal publishes his Traité du triangle arithmétique in which he describes Pascal's triangle; and his Traités de l’équilibre des liqueurs...
    3 KB (252 words) - 07:18, 9 April 2023