James Booth (mathematician)
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The Revd The Reverend is an honorific style most often placed before the names of Christian clergy and ministers. There are sometimes differences in the way the style is used in different countries and church traditions. ''The Reverend'' is correctly ...
Dr James Booth, (1806–1878) was an Anglo-Irish clergyman, notable as a mathematician and educationalist.


Life

Born at Lavagh,
County Leitrim County Leitrim ( ; gle, Contae Liatroma) is a county in Ireland. It is in the province of Connacht and is part of the Northern and Western Region. It is named after the village of Leitrim. Leitrim County Council is the local authority for the ...
on 26 August 1806, the son of John Booth (cousin to the
Gore-Booth baronets There have been three baronetcies created for members of the Gore family, all in the Baronetage of Ireland. All three titles are extant. The family also holds two earldoms and a barony. Gore baronets of Magherabegg (1622) The Gore Baronetcy, ...
), he entered
Trinity College, Dublin , name_Latin = Collegium Sanctae et Individuae Trinitatis Reginae Elizabethae juxta Dublin , motto = ''Perpetuis futuris temporibus duraturam'' (Latin) , motto_lang = la , motto_English = It will last i ...
in 1825 and was elected scholar in 1829, graduating B.A. in 1832, M.A. in 1840, and LL.D. in 1842. Booth left Ireland in 1840 to become Principal of Bristol College, where he had
Francis William Newman Francis William Newman (27 June 1805 – 4 October 1897) was an English classical scholar and moral philosopher, prolific miscellaneous writer and activist for vegetarianism and other causes. He was the younger brother of John Henry Newman. ...
and
William Benjamin Carpenter William Benjamin Carpenter CB FRS (29 October 1813 – 19 November 1885) was an English physician, invertebrate zoologist and physiologist. He was instrumental in the early stages of the unified University of London. Life Carpenter was born ...
as colleagues. It had been set up by the
British Institution The British Institution (in full, the British Institution for Promoting the Fine Arts in the United Kingdom; founded 1805, disbanded 1867) was a private 19th-century society in London formed to exhibit the works of living and dead artists; it w ...
in 1830, to provide non-denominational education. It closed in 1841, however, having suffered some opposition from
James Henry Monk James Henry Monk (12 December 1784 – 6 June 1856) was an English divine and classical scholar. Life He was born at Buntingford, Hertfordshire. He was educated at Norwich School, Charterhouse School and Trinity College, Cambridge, and in 1 ...
. Booth then set up a short-lived private school, where
Edward Fry Sir Edward Fry, (4 November 1827 – 19 October 1918) was an English Lord Justice of Appeal (1883–1892) and an arbitrator on the Permanent Court of Arbitration. Biography Joseph Fry (1795-1879) and Mary Ann Swaine were his parents. He was ...
was a pupil. In 1843 he was appointed vice-principal of the
Liverpool Collegiate Institution Liverpool Collegiate School was an all-boys grammar school, later a comprehensive school, in the Everton, Liverpool, Everton area of Liverpool. Foundations The Collegiate is a striking, Grade II listed building, with a facade of pink Woolton sa ...
; he had been ordained at Bristol in 1842, and acted there as curate till he moved. In 1848 he gave up his Liverpool post, and moved to London. He taught geography and astronomy at
Bedford College, London file:Bedford College in York place - photographer is unknown but guess 1908.png, Bedford College was in York Place after 1874 Bedford College was founded in London in 1849 as the first higher education college for education of women, women in th ...
in 1849 and 1850. In 1854 he was appointed minister of St. Anne's, Wandsworth, and in 1859 was presented to the vicarage of
Stone, Buckinghamshire Stone is a village in Buckinghamshire, England. It is located southwest of the town of Aylesbury, on the A418 road that links Aylesbury to Thame. Stone with Bishopstone and Hartwell is a civil parish within Buckinghamshire district and also in ...
, by the
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, to which the
advowson Advowson () or patronage is the right in English law of a patron (avowee) to present to the diocesan bishop (or in some cases the ordinary if not the same person) a nominee for appointment to a vacant ecclesiastical benefice or church living, ...
had been given in 1844 by Dr Lee. He was also chaplain to the
Marquess of Lansdowne Marquess of Lansdowne is a title in the Peerage of Great Britain created in 1784, and held by the head of the Petty-Fitzmaurice family. The first Marquess served as Prime Minister of Great Britain. Origins This branch of the Fitzmaurice famil ...
, and a
Justice of the Peace A justice of the peace (JP) is a judicial officer of a lower or ''puisne'' court, elected or appointed by means of a commission ( letters patent) to keep the peace. In past centuries the term commissioner of the peace was often used with the sa ...
for Buckinghamshire. Booth was elected
Fellow of the Royal Society Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the judges of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural science, natural knowledge, incl ...
in 1846, and
Fellow of the Royal Astronomical Society (Whatever shines should be observed) , predecessor = , successor = , formation = , founder = , extinction = , merger = , merged = , type = NGO ...
in 1859. He was
President President most commonly refers to: *President (corporate title) *President (education), a leader of a college or university *President (government title) President may also refer to: Automobiles * Nissan President, a 1966–2010 Japanese ful ...
of the Liverpool Literary and Philosophical Society from 1846 to 1849. In 1852 he joined the
Society of Arts The Royal Society for the Encouragement of Arts, Manufactures and Commerce (RSA), also known as the Royal Society of Arts, is a London-based organisation committed to finding practical solutions to social challenges. The RSA acronym is used m ...
, and at his suggestion its weekly ''Journal'' of the society was begun. He was treasurer and chairman of the council of the society from 1855 to 1857. He was central in the organisation of the Society of Arts examinations, a system later developed by Harry Chester. Dr Booth died at his vicarage at Stone, 15 April 1878, aged 71 years.


Works

Booth wrote mathematical papers, and his earliest publication seems to have been a tract ''On the Application of a New Analytic Method to the Theory of Curves and Curved Surfaces'', published at Dublin in 1840. Titles of 29 works were given in the ''Royal Society Catalogue of Scientific Papers''. They were republished, with additions, as ''A Treatise on Some New Geometrical Methods''. The first volume, relating mainly to tangential coordinates and reciprocal polars, was issued in 1873; the second, containing papers on
elliptic integral In integral calculus, an elliptic integral is one of a number of related functions defined as the value of certain integrals, which were first studied by Giulio Fagnano and Leonhard Euler (). Their name originates from their originally arising in ...
s and one on
conic section In mathematics, a conic section, quadratic curve or conic is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a specia ...
s, came out in 1877. Booth was the independent inventor of the tangential coordinates that became known as "Boothian co-ordinates", which, however, were previously introduced by
Julius Plücker Julius Plücker (16 June 1801 – 22 May 1868) was a German mathematician and physicist. He made fundamental contributions to the field of analytical geometry and was a pioneer in the investigations of cathode rays that led eventually to the dis ...
in 1830 in a paper in ''
Crelle's Journal ''Crelle's Journal'', or just ''Crelle'', is the common name for a mathematics journal, the ''Journal für die reine und angewandte Mathematik'' (in English: ''Journal for Pure and Applied Mathematics''). History The journal was founded by Augus ...
''. The
lemniscate of Booth In geometry, a hippopede () is a plane curve determined by an equation of the form :(x^2+y^2)^2=cx^2+dy^2, where it is assumed that and since the remaining cases either reduce to a single point or can be put into the given form with a rotation. ...
, a figure-eight shaped curve, and the
oval of Booth In geometry, a hippopede () is a plane curve determined by an equation of the form :(x^2+y^2)^2=cx^2+dy^2, where it is assumed that and since the remaining cases either reduce to a single point or can be put into the given form with a rotation. ...
, another curve with a similar defining equation, are named after Booth, who studied them both. In 1846 Booth published a paper on ''Education and Educational Institutions considered with reference to the Industrial Professions and the Present Aspect of Society'' (Liverpool, pp. 108), and in the following year ''Examination the Province of the State, or the Outlines of a Practical System for the Extension of National Education''. Addresses which he delivered were published by the Society of Arts: ''How to Learn and What to Learn; two lectures advocating the system of examinations established by the Society of Arts'' (1856); and ''Systematic Instruction and Periodical Examination'' (1857). He was also instrumental in preparing the reports on ''Middle Class Education'', issued in 1857 by the society, and in that year he annotated and edited for them ''Speeches and Addresses of His Royal Highness the Prince Albert''. He published also: * ''On the Female Education of the Industrial Classes'' (1855); * ''On the Self-Improvement of the Working Classes'' (1858). * ''The Bible and its Interpreters, three sermons'' (1861); * ''A Sermon on the Death of Admiral W. H. Smyth, D.C.L., F.R.S.'' (1865); * ''The Lord's Supper, a Feast after Sacrifice'' (1870).


Family

Dr Booth's wife, Mary, daughter of Daniel Watney of Wandsworth, died in 1874.


Notes

Attribution {{DEFAULTSORT:Booth, James 1806 births 1878 deaths Alumni of Trinity College Dublin Irish Anglicans Irish astronomers Irish educators Irish mathematicians Fellows of the Royal Society Fellows of the Royal Astronomical Society Scholars of Trinity College Dublin