# Mathematician:Roger Cotes

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## Mathematician

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.

## Nationality

English

## History

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

## Theorems

- Newton-Cotes Rule (with Isaac Newton) (also known as Newton-Cotes Formulas)

Results named for **Roger Cotes** can be found here.

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

## Publications

- 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

## Sources

- 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next):**Cotes, Roger**(1682-1716) - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next):**Cotes, Roger**(1682-1716)