Born on Anglesey, the man who invented pi went from humble origins to become one of the giants of maths
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And although that little symbol used to calculate the circumference and area of a circle is known to generations the world over, considerably less people know about the life and times William Jones himself.
He was born sometime around 1675 on the island Anglesey in the parish of Llanfihangel Tre’r Beirdd, about four miles west of the town which is now Benllech.
He had a humble up-bringing and was raised on a small farmstead by his parents Siôn Siôr (John George Jones) and Elizabeth Rowland.
However his talent for mathematics quickly became apparent when he attended a charity school at Llanfechell. It was to be his only formal education.
His aptitude for the subject ensured that he would not follow in the family footsteps. A local squires and landlords, the distinguished Bulkeley family , heard of his skill and took him under their patronage.
They arranged for him to work in a merchant’s counting house in London.
It was only the first of many journeys. Between 1695 and 1702 he served in the Royal Navy, sailing to the West Indies during which time he taught mathematics on board a man-of-war, en route learning about navigation.
He was present at the battle of Vigo in October 1702 when the English successfully captured the Spanish treasure fleet as it was returning to the port in north-west Spain under French escort.
Ignoring the obvious riches of silver to be had, he went in search of other booty according to an 1807 memoir by Baron Teignmouth, ‘... literary treasures were the sole plunder that he coveted.’
On his return he published A New Compendium of the Whole Art of Navigation which he dedicated to a benefactor John Harris, a writer, scientist and Anglican priest who had taken him under his wing.
Back in the capital, his voyages over, he became a mathematics teacher in coffee houses and as a private tutor to the son of the future Earl of Macclesfield. He also became tutor to Philip Yorke, later 1st Earl of Hardwicke (1690-1764), who became lord chancellor and provided an invaluable source of introductions for his tutor.
It was around this time that Jones first came to the attention of that giant of 17th Century mathematics Isaac Newton. The great mathematician’s attention was grabbed after reading Jones’s Synopsis, in which the younger man explained Newton’s methods for calculus as well as other mathematical innovations.
In was in this book that Jones first used the Greek symbol ‘π’ to denote the pi, more significantly he used it as a constant number - 3.141...
Before Jones , approximations such as 22/7 and 355/113 had also been used to express the ratio.
Explaining its used, he wrote: ‘... the exact proportion between the diameter and the circumference can never be expressed in numbers...’. Hence, a symbol was required to represent an ideal that can be approached but never reached. For this Jones recognised that only a pure platonic symbol would suffice.
In 1708 Jones was able to acquired an extensive library and archive, which contained several of Newton’s letters and papers written in the 1670s.
The following year he applied for the mastership of Christ’s Hospital Mathematical School, despite references from Newton and Edmund Halley, the astronomer who calculated the orbit of the comet, now named after him, he was turned down.
Jones went back into private teaching but thanks to the papers he had acquired he was able to help his old mentor Newton resolving a dispute with German mathematician Gottfried Leibniz, over which of the men first invented calculus.
In 1712 Jones joined the committee set up by the Royal Society to determine which of them invented calculus. He was now firmly in the mathematical establishment.
He married twice, firstly the widow of his counting-house employer, whose property he inherited on her death.
He remarried in 1731, to Mary, the 22-year-old daughter (30 years his junior) of cabinet-maker George Nix, with whom he had three children.
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