Thomas Baker (mathematician)
Encyclopedia
'Thomas Baker was an English mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

 notable for producing a solution of biquadratic equations.

Biography

Baker is said to have been fifteen years old when he became a battler at Magdalen Hall, Oxford, in 1640. In spite of the puritanical education which, according to Wood, he received at the hall, 'he did some little petite service for his majesty within the garrison of Oxon.' It does not appear what was the nature of the 'little employments' through which, according to the same authority, he became 'minister' of Bishop's Nympton
Bishop's Nympton
Bishop's Nympton is a village and civil parish in the North Devon district of Devon, England, about three miles east of South Molton. According to the 2001 census it had population of 932....

, in Devon
Devon
Devon is a large county in southwestern England. The county is sometimes referred to as Devonshire, although the term is rarely used inside the county itself as the county has never been officially "shired", it often indicates a traditional or historical context.The county shares borders with...

shire, He was collated to the vicarage of Bishop's Nympton in 1681; but he seems to have lived for some years previously in that retired spot (perhaps as curate). His secluded life—as much of it at least as could be spared from professional occupations and the cares of a family—was devoted to mathematical studies. He speaks of himself as one 'who pretend(s) not to learning nor to the profession of the mathematic art, but one who(m) at some subcisive hours for diversion sake its study much delights.' He published in 1684 the 'Geometrical Key, or Gate of Equations Unlocked.' Montucla remembers having 'read somewhere' that Baker was imprisoned for debt at Newgate
Newgate
Newgate at the west end of Newgate Street was one of the historic seven gates of London Wall round the City of London and one of the six which date back to Roman times. From it a Roman road led west to Silchester...

; upon which it was facetiously remarked that it would have been better for him to have had the key of Newgate than that of equations.

The leading idea of Baker's work is the solution of biquadratic equations (and those of a lower degree) by a geometrical construction, a parabola
Parabola
In mathematics, the parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating straight line of that surface...

 intersected by a circle. The method is distinguished from that of Descartes by not requiring the equation to be previously deprived of its second term. The general principle is worked out in great detail; the author being of opinion that conciseness, like 'a watch contrived within the narrow sphere of the signet of a ring,' is rather admirable than useful. Some account of the work is given in the 'Transactions of the Royal Society' (referred to below).

There exists a 'catalogue of the mathematical works of the learned Mr. Thomas Baker, with a proposal about printing the same.' The proposal was 'approved and agreed to by the council of the Royal Society
Royal Society
The Royal Society of London for Improving Natural Knowledge, known simply as the Royal Society, is a learned society for science, and is possibly the oldest such society in existence. Founded in November 1660, it was granted a Royal Charter by King Charles II as the "Royal Society of London"...

,' but was not carried out.
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