William Emerson (mathematician)
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William Emerson (14 May 1701 – 20 May 1782) was an
English English usually refers to: * English language * English people English may also refer to: Culture, language and peoples * ''English'', an adjective for something of, from, or related to England * ''English'', an Amish ter ...
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
. He was born in Hurworth, near
Darlington Darlington is a market town in the Borough of Darlington, County Durham, England. It lies on the River Skerne, west of Middlesbrough and south of Durham. Darlington had a population of 107,800 at the 2021 Census, making it a "large town" ...
, where his father, Dudley Emerson, also a mathematician, taught a school.


Biography

William himself had a small estate in
Weardale Weardale is a dale, or valley, on the east side of the Pennines in County Durham, England. Large parts of Weardale fall within the North Pennines Area of Outstanding Natural Beauty (AONB) – the second-largest AONB in England and Wales. The u ...
called Castle Gate situated not far from
Eastgate Eastgate may refer to: Places Canada * Eastgate, Alberta, Canada * Eastgate, British Columbia, Canada United Kingdom * Eastgate, Bourne, Lincolnshire * Eastgate, Chester, a gate through the Roman walls, with a clock above * Eastgate, County Du ...
where he would repair to work throughout the summer on projects as disparate as stonemasonry and watchmaking. Unsuccessful as a teacher, he devoted himself entirely to studious retirement. Possessed of remarkable energy and forthrightness of speech, Emerson published many works which are singularly free from errata. In ''The Principles of Mechanics'' (1754) he shows a wind-powered vehicle in which the vertically mounted propeller gives direct power to the front wheels via a system of cogs. In
mechanics Mechanics () is the area of physics concerned with the relationships between force, matter, and motion among Physical object, physical objects. Forces applied to objects may result in Displacement (vector), displacements, which are changes of ...
he never advanced a proposition which he had not previously tested in practice, nor published an invention without first proving its effects by a model. He was skilled in the science of
music Music is the arrangement of sound to create some combination of Musical form, form, harmony, melody, rhythm, or otherwise Musical expression, expressive content. Music is generally agreed to be a cultural universal that is present in all hum ...
, the theory of sounds, and the ancient and modern scales; but he never attained any excellence as a performer. He died on 20 May 1782 at his native village, where his gravestone bears epitaphs in
Latin Latin ( or ) is a classical language belonging to the Italic languages, Italic branch of the Indo-European languages. Latin was originally spoken by the Latins (Italic tribe), Latins in Latium (now known as Lazio), the lower Tiber area aroun ...
and
Hebrew Hebrew (; ''ʿÎbrit'') is a Northwest Semitic languages, Northwest Semitic language within the Afroasiatic languages, Afroasiatic language family. A regional dialect of the Canaanite languages, it was natively spoken by the Israelites and ...
. Emerson dressed in old clothes and his manners were uncouth. He wore his shirt back to front and his legs wrapped in sacking so as not to scorch them as he sat over the fire. He declined an offer to become FRS because it would cost too much after all the expense of farthing candles he had been put to in the course of his life of study. Emerson rode regularly into Darlington on a horse like
Don Quixote , the full title being ''The Ingenious Gentleman Don Quixote of La Mancha'', is a Spanish novel by Miguel de Cervantes. Originally published in two parts in 1605 and 1615, the novel is considered a founding work of Western literature and is of ...
's, led by a hired small boy. In old age, plagued by the stone, he would alternately pray and curse, wishing his soul 'could shake off the rags of mortality without such a clitter-me-clatter.' Like his fellow
County Durham County Durham, officially simply Durham, is a ceremonial county in North East England.UK General Acts 1997 c. 23Lieutenancies Act 1997 Schedule 1(3). From legislation.gov.uk, retrieved 6 April 2022. The county borders Northumberland and Tyne an ...
savant John Bird, Emerson makes an appearance in ''
Mason and Dixon ''Mason & Dixon'' is a postmodernist novel by the American author Thomas Pynchon, published in 1997. It presents a fictionalized account of the collaboration between Charles Mason and Jeremiah Dixon in their astronomical and surveying exploits ...
'' by
Thomas Pynchon Thomas Ruggles Pynchon Jr. ( , ; born May 8, 1937) is an American novelist noted for his dense and complex novels. His fiction and non-fiction writings encompass a vast array of subject matter, Literary genre, genres and Theme (narrative), th ...
.


Works

Emerson's works include: * ''The Doctrine of Fluxions'' (1748)
3rd edition
(1768) * ''The Projection of the Sphere, Orthographic, Stereographic and Gnomical'' (1749) * ''The Elements of Trigonometry'' (1749)
3rd edition
(1788) * ''The Principles of Mechanics'' (1754)
3rd edition
(1773) * ''A Treatise of Navigation'' (1755) * ''A Treatise of Algebra'', in two books (1764) * ''The Arithmetic of Infinites, and the Differential Method, illustrated by Examples'' (1767) * ''Mechanics, or the Doctrine of Motion'' (1769) * ''The Elements of Optics'', in four books (1768)
''A System of Astronomy''
(1769) * ''The Laws of Centripetal and Centrifugal Force'' (1769) * ''The Mathematical Principles of Geography'' (1770) * ''Tracts'' (1770) * ''Cyclomathesis, or an Easy Introduction to the several branches of the Mathematics'' (1770), in ten volumes * ''A Short Comment on Sir Isaac Newton's Principia; to which is added, A Defence of Sir Isaac against the objections that have been made to several parts of his works'' (1770) * ''A Miscellaneous Treatise containing several Mathematical Subjects'' (1776). It is notable to remark that in "The Doctrine of Proportionality" Emerson was first to introduce ∝ as the symbol for proportionality.


References

*


Bibliography

*


External links

*William Emerson (1768
''The elements of optics in four books''
- digital facsimile from the
Linda Hall Library The Linda Hall Library is a privately endowed American library of science, engineering and technology located in Kansas City, Missouri, on the grounds of a urban arboretum. It claims to be the "largest independently funded public library of sc ...
{{DEFAULTSORT:Emerson, William 1701 births 1782 deaths 18th-century English mathematicians People from the Borough of Darlington