# Henry Briggs (mathematician)

**Henry Briggs** (February 1561 – 26 January 1630) was an English mathematician notable for changing the original logarithms invented by John Napier into common (base 10) logarithms, which are sometimes known as Briggsian logarithms in his honour.

Henry Briggs | |
---|---|

Born | February 1561 Warleywood, Yorkshire, England |

Died | 26 January 1630 68) Oxford, England | (aged

Residence | England |

Nationality | English |

Alma mater | St. John's College, Cambridge |

Known for | Logarithms in base 10 |

Scientific career | |

Fields | Mathematician Astronomer |

Institutions | Gresham College University of Oxford |

Influences | John Napier |

Influenced | John Napier John Pell James Gregory Isaac Newton |

Briggs was a committed Puritan[1][2] and an influential professor in his time.[3]

## Personal life

Briggs was born at Daisy Bank, Sowerby Bridge, near Halifax, in Yorkshire, England. After studying Latin and Greek at a local grammar school, he entered St John's College, Cambridge, in 1577, and graduated in 1581.[4] In 1588, he was elected a Fellow of St John's. In 1592 he was made reader of the physical lecture founded by Thomas Linacre; he would also read some of the mathematical lectures as well. During this period, he took an interest in navigation and astronomy, collaborating with Edward Wright.

In 1596, he became first professor of geometry in the recently-founded Gresham College, London, where he also taught astronomy and navigation. He lectured there for nearly 23 years, and made Gresham College a centre of English mathematics, from which he would notably support the new ideas of Johannes Kepler.

He was a friend of Christopher Heydon, a writer on astrology, though Briggs himself rejected astrology for religious reasons.[5] He once called astrology, “a mere system of groundless conceits.”[6]

At this time, Briggs obtained a copy of *Mirifici Logarithmorum Canonis Descriptio*, in which Napier introduced the idea of logarithms. It has also been suggested that he knew of the method outlined in *Fundamentum Astronomiae* published by the Swiss clockmaker Jost Bürgi, through John Dee.[7] Napier's formulation was awkward to work with, but the book fired Briggs' imagination – in his lectures at Gresham College he proposed the idea of base 10 logarithms in which the logarithm of 10 would be 1; and soon afterwards he wrote to the inventor on the subject. Briggs was active in many areas, and his advice in astronomy, surveying, navigation, and other activities like mining was frequently sought. Briggs in 1619 invested in the London Company, and he had two sons: Henry, who later emigrated to Virginia, and Thomas, who remained in England.[8]

Briggs died on 26 January 1630, and was buried in the chapel of Merton College, Oxford. Dr Smith, in his *Lives of the Gresham Professors*, characterizes him as a man of great probity, a condemner of riches, and contented with his own station, preferring a studious retirement to all the splendid circumstances of life. The lunar crater Briggs is named in his honour.

## Mathematical contributions

In 1616 Briggs visited Napier at Edinburgh in order to discuss the suggested change to Napier's logarithms. The following year he again visited for a similar purpose. During these conferences the alteration proposed by Briggs was agreed upon; and on his return from his second visit to Edinburgh, in 1617, he published the first chiliad of his logarithms.

In 1619 he was appointed Savilian Professor of Geometry at the University of Oxford, and resigned his professorship of Gresham College in July 1620. Soon after his settlement at Oxford he was incorporated Master of Arts.

In 1622 he published a small tract on the *Northwest Passage to the South Seas, through the Continent of Virginia and Hudson Bay*. The tract is notorious today as the origin of the cartographic myth of the Island of California. In it Briggs stated he had seen a map that had been brought from Holland that showed the Island of California. The tract was republished three years later (1625) in Pvrchas His Pilgrimes (vol 3, p848).

In 1624 his *Arithmetica Logarithmica* was published, in folio, a work containing the logarithms of thirty thousand natural numbers to fourteen decimal places (1-20,000 and 90,001 to 100,000).
This table was later extended by Adriaan Vlacq to 10 places, and by Alexander John Thompson to 20 places in 1952. Briggs was one of the first to use finite-difference methods to compute tables of functions.[9][10]

He also completed a table of logarithmic sines and tangents for the hundredth part of every degree to fourteen decimal places, with a table of natural sines to fifteen places, and the tangents and secants for the same to ten places; all of which were printed at Gouda in 1631 and published in 1633 under the title of *Trigonometria Britannica*; this work was probably a successor to his 1617 *Logarithmorum Chilias Prima* ("The First Thousand Logarithms"), which gave a brief account of logarithms and a long table of the first 1000 integers calculated to the 14th decimal place.

Briggs discovered, in a somewhat concealed form and without proof, the binomial theorem. English translations of Briggs's *Arithmetica* and the first part of his *Trigonometria Britannica* are available on the web.[11]

## Bibliography

*A Table to find the Height of the Pole, the Magnetical Declination being given*(London, 1602, 4to)- "Tables for the Improvement of Navigation", printed in the second edition of Edward Wright's treatise entitled
*Certain Errors in Navigation detected and corrected*(London, 1610, 4to) *A Description of an Instrumental Table to find the part proportional, devised by Mr Edward Wright*(London, 1616 and 1618, 12rno)*Logarithmorum Chilias prima*(London, 1617, 8vo) (http://locomat.loria.fr contains a reconstruction of this table)*Lucubrationes et Annotationes in opera posthuma J. Neperi*(Edinburgh, 1619, 4to)*Euclidis Elementorum VI. libri priores*(London, 1620. folio)*A Treatise on the North-West Passage to the South Sea*(London, 1622, 4to), reprinted in Samuel Purchas's*Pilgrims*, vol. iii. p. 852*Arithmetica Logarithmica*(London, 1624, folio) (http://locomat.loria.fr contains a reconstruction of this table)*Trigonometria Britannica*(Goudae, 1633, folio) (http://locomat.loria.fr contains a reconstruction of this table)- two
*Letters*to Archbishop James Usher *Mathematica ab Antiquis minus cognita*.

Some other works, as his *Commentaries on the Geometry of Peter Ramus*, and *Remarks on the Treatise of Longomontanus respecting the Quadrature of the Circle* have not been published.

## See also

## References

- David C. Lindberg, Ronald L. Numbers (1986). "God and Nature", p. 201.
- Cedric Clive Brown (1993), "Patronage, Politics, and Literary Traditions in England, 1558-1658", Wayne State University Press. p. 153:
*"Henry Briggs, the professor of mathematics, was a close friend of William Crashaw, and a committed Puritan venturer in the Virginia Company.* - Reijer Hooykaas (1974). "Scientific progress and religious dissent", Open University Press. p. 19:
*Like most Londoners, the founders and supervisors, as well as most of the professors, were in favour of Puritanism which in those days was the parallel 'modern' movement in politics and religion. The first professor of geometry (from 1599 to 1620) was Henry Briggs. Briggs numbered among his friends practically all the scientists of the day: Edward Wright, William Oughtred, Mark Ridley, and Lord Napier, to name but a few. Theologically, he was strongly puritan, having close relations with James Ussher...* - "Briggs, Henry (BRGS577H)".
*A Cambridge Alumni Database*. University of Cambridge. - Keith Thomas (2003). "Religion and the Decline of Magic". Penguin UK.
*"Henry Briggs, who had abandoned the study of astrology, partly because he found no certainty in its rules, but also because he feared that 'to those who addicted themselves to the practice of divining astrology, the Devil did at first secretly lend his assistance, and at length gradatim (unless God graciously prevented) entince them into contract."* - The National Cyclopaedia of Useful Knowledge, Vol III, (1847), London, Charles Knight, p.808
- Menso Folkerts, Dieter Launert, Andreas Thom (2015). "Jost Bürgi's Method for Calculating Sines". arXiv:1510.03180.CS1 maint: uses authors parameter (link)
- Boddie,
*Southside Virginia Families*p 104. - Bruce, I. (2002). "The Agony and the Ecstasy: The Development of Logarithms by Henry Briggs".
*The Mathematical Gazette*.**86**(506): 216–227. doi:10.2307/3621843. JSTOR 3621843. - "The Difference Method of Henry Briggs". Archived from the original on 29 March 2012. Retrieved 24 April 2012.
- "Some Mathematical Works of the 17th & 18th Centuries Translated mainly from Latin into English". 17centurymaths.com. Retrieved 24 April 2012.

This article incorporates text from a publication now in the public domain: Chisholm, Hugh, ed. (1911). "Briggs, Henry". *Encyclopædia Britannica*(11th ed.). Cambridge University Press.- Article at Encyclopædia Britannica

## External links

- '400 Years of Geometry at Gresham College, lecture by Robin Wilson on Henry Briggs, given at Gresham College, 14 May 2008 (available for video, audio and text download)
- O'Connor, John J.; Robertson, Edmund F., "Henry Briggs",
*MacTutor History of Mathematics archive*, University of St Andrews.