Henry Briggs (mathematician)

Lore & Background

Henry Briggs, born at Daisy Bank in Sowerby Bridge, near Halifax, Yorkshire, was a committed Puritan and an influential professor. He studied Latin and Greek at a local grammar school before entering St John's College, Cambridge, where he graduated in 1581 and became a Fellow in 1588. At Cambridge, he served as a reader of the Linacre physical lecture and also taught mathematics, developing a strong interest in navigation and astronomy through collaboration with Edward Wright. In 1596, Briggs became the first professor of geometry at the newly founded Gresham College in London, where he lectured for nearly 23 years, also teaching astronomy and navigation, and turning the college into a centre for English mathematics that supported the ideas of Johannes Kepler. He was a friend of astrologer Christopher Heydon but rejected astrology on religious grounds, calling it "a mere system of groundless conceits." Briggs is most notable for transforming John Napier’s original logarithms into base-10 logarithms, now often called Briggsian logarithms. He also introduced the specific algorithm for long division still used today. His 1617 work *Logarithmorum Chilias Prima* gave common logarithms of integers 1 to 1000 to fourteen decimal places, and his 1624 *Arithmetica Logarithmica* extended this to 30,000 numbers. He later produced a table of logarithmic sines and tangents, published posthumously as *Trigonometria Britannica*. Briggs was also the origin of the cartographic myth of the Island of California, based on a Dutch map he described in a 1622 tract on the Northwest Passage. He died in 1630 and was buried in Merton College, Oxford; the lunar crater Briggs is named in his honour.

Reader's Guide

Henry Briggs's lasting significance stems from his pivotal role in transforming John Napier's original logarithms into the base-10 system, known as common or Briggsian logarithms. This change, agreed upon during visits to Napier in Edinburgh, made logarithms far more practical for calculation. His 1617 publication provided the first thousand integers' logarithms to fourteen decimal places, and his 1624 *Arithmetica Logarithmica* extended this to thirty thousand numbers. He also produced tables of logarithmic sines and tangents. Beyond logarithms, Briggs introduced the specific algorithm for long division still used today. As the first professor of geometry at Gresham College, he lectured for nearly 23 years, making it a center for English mathematics and supporting the ideas of Johannes Kepler. His expertise was sought in astronomy, surveying, navigation, and mining. A committed Puritan, he rejected astrology as groundless. He also authored a tract on the Northwest Passage, which unfortunately propagated the cartographic myth of the Island of California. His work at Oxford as Savilian Professor of Geometry and his use of finite-difference methods for table computation further cemented his influence. The lunar crater Briggs commemorates his name, while his base-10 logarithms and long division method remain in common use.

Did You Know?

• The modern long division algorithm predates Briggs and was not invented by him.
• The lunar crater Briggs is named in his honor.

Academic Journey and Institutional Influence

Henry Briggs was born on 1 February 1561 at Daisy Bank in Sowerby Bridge, near Halifax in Yorkshire. His early grounding in Latin and Greek at a local grammar school carried him to St John's College, Cambridge, where he matriculated in 1577 and took his degree in 1581. Elected a Fellow of St John's in 1588, he was appointed reader of the physical lecture established by Thomas Linacre in 1592, while also delivering portions of the mathematical lectures. During those Cambridge years he cultivated interests in navigation and astronomy, working alongside Edward Wright. In 1596 he relocated to London to assume the inaugural chair of geometry at the newly founded Gresham College, where he simultaneously taught astronomy and navigation. Over nearly twenty-three years he turned Gresham into a centre for English mathematics and actively championed the emerging ideas of Johannes Kepler. In 1619 he was named Savilian Professor of Geometry at Oxford, and he resigned his Gresham post in July 1620 to settle into his new role.

Transforming Napier's Logarithms

Upon obtaining a copy of Napier's Mirifici Logarithmorum Canonis Descriptio, Briggs found the original formulation cumbersome yet was deeply stimulated by the underlying concept. He envisioned a more practical system: base-10 logarithms in which the logarithm of 10 would equal 1. He presented this proposal in his Gresham College lectures and promptly wrote to Napier. In 1616 he travelled to Edinburgh to discuss the modification with the inventor, and returned the following year for further deliberation. The conferences produced a mutual agreement on the alteration. Back in England after the second visit, Briggs published the first chiliad of his logarithms in 1617, offering 14-digit common logarithms of the integers from 1 to 1000. His landmark Arithmetica Logarithmica followed in 1624 in folio format, tabulating thirty thousand natural numbers to fourteen decimal places. The remaining values were later supplied by Adriaan Vlacq. The base-10 system became so central to computation that it is still referred to as Briggsian logarithms in his honour.

Broader Mathematical Contributions and Enduring Legacy

Beyond his celebrated logarithmic tables, Briggs contributed to practical mathematics in ways that persist to this day. Around 1600 he introduced the specific long-division algorithm still employed in modern arithmetic. He was also among the earliest to apply finite-difference methods for computing tables of functions. His Trigonometria Britannica, printed at Gouda in 1631 and published in 1633, provided logarithmic sines and tangents for the hundredth part of every degree to fourteen decimal places, alongside tables of natural sines to fifteen places and tangents and secants to ten. His wider bibliography spans navigation aids, a commentary on Euclid's first six books, and a 1622 tract on the Northwest Passage that inadvertently seeded the cartographic myth of the Island of California. He advised on surveying, mining, and navigation, and his influence is commemorated in the lunar crater named Briggs.

Character, Faith, and Personal Life

Briggs was a devoted Puritan whose religious convictions shaped both his intellectual stances and his private conduct. He kept a friendship with Christopher Heydon, a writer on astrology, yet firmly rejected the practice on theological grounds, dismissing it as a mere system of groundless conceits. Dr. Smith, in his Lives of the Gresham Professors, portrayed Briggs as a man of great probity who condemned the pursuit of riches and preferred a studious retirement over the splendid circumstances of life. In 1619 he invested in the London Company, and his household included two sons: Henry, who later emigrated to Virginia, and Thomas, who stayed in England. Briggs died on 26 January 1630 and was interred in the chapel of Merton College, Oxford. His life, spanning nearly seven decades, carried him from a Yorkshire village to the very heart of English mathematical learning, leaving a body of work that fundamentally reshaped how the world performed calculation.

Gallery