Pioneer

John Machin

Theory of Computation

John Machin, baptised around 1686 and dead in 1751, was an English professor of astronomy at Gresham College in London from 1713 until his death and secretary of the Royal Society from 1718 to 1747. In 1706 he developed a quickly converging series for pi, now called Machin's formula, which combines arctangents of one fifth and one two hundred and thirty ninth, and used it to compute pi to one hundred decimal places. His formula remained the main tool of people hunting digits of pi for centuries, well into the computer era, and several similar formulae are known. He also sat on the commission that judged the calculus priority dispute between Leibniz and Newton in 1712. Sources differ on the year of his birth, and the date given here is the year of baptism stated in the Wikipedia article.

Facts
Birth Year
1686 1
Death Year
1751 1
Nationality
English 2
Contribution Kind
Algorithm 1
Highest Honour
Fellow of the Royal Society 2
Notable Work
Machin formula for pi (1706) 1
Connections

Affiliated With

Source John Machin (Wikipedia)
Source John Machin (Wikipedia)

In Field

Source John Machin (Wikipedia)
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Nationality

Also in Geography Atlas: the nationality of this subject.

Source MacTutor History of Mathematics: John MachinBiography, lead
Quote, Biography, lead
John Machin was an English mathematician and astronomer
Sources
1. John Machin (Wikipedia)
  • Lead, baptism year
    John Machin (bapt. c. 1686, June 9, 1751) was a professor of astronomy at Gresham College, London.
  • Lead, death
    John Machin (bapt. c. 1686, June 9, 1751) was a professor of astronomy at Gresham College, London.
  • Lead, pi series
    He is best known for developing a quickly converging series for pi in 1706 and using it to compute pi to 100 decimal places.
  • Lead, notable work
    He is best known for developing a quickly converging series for pi in 1706 and using it to compute pi to 100 decimal places.
  • In Field: Numerical analysis, Lead, field
    He is best known for developing a quickly converging series for pi in 1706 and using it to compute pi to 100 decimal places.
  • In Group: Algorithm Design and Analysis, Lead, group
    He is best known for developing a quickly converging series for pi in 1706 and using it to compute pi to 100 decimal places.
  • Affiliated With: Gresham College, Lead, Gresham College
    John Machin (bapt. c. 1686, June 9, 1751) was a professor of astronomy at Gresham College, London.
  • Affiliated With: Royal Society, History, Royal Society
    John Machin served as secretary of the Royal Society from 1718 to 1747.
View the Source
2. MacTutor History of Mathematics: John Machin
MacTutor History of Mathematics
  • Biography, lead
    John Machin was an English mathematician and astronomer
  • Honours
    Fellow of the Royal Society 1710
View the Source
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