Mathematician:Roger Cotes

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English mathematician, who worked closely with Isaac Newton by proofreading the second edition of Philosophiae Naturalis Principia Mathematica before publication.

Invented the quadrature formulas known as Newton-Cotes Formulas.

First introduced in $1714$ what is known today as Euler's Formula, in the form $\map \ln {\cos \theta + i \sin \theta} = i \theta$.

Introduced the concept of the radian.

Died tragically young of a fever.




  • Born: 10 July 1682 in Burbage, Leicestershire, England
  • Died: 5 June 1716 in Cambridge, England


Results named for Roger Cotes can be found here.

Definitions of concepts named for Roger Cotes can be found here.


  • March 1714: Logometria
  • 1722: Harmonia Mensurarum (his collected papers, assembled after his death)
  • 1738: Hydrostatical and Pneumatical Lectures (his collected lectures on experimental physics)

Critical View

... if he had lived we might have known something.
-- Isaac Newton