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Peter Barlow (13 October 1776 – 1 March 1862)Encyclopædia Britannica Online: Peter Barlow
/ref>Lance Day and Ian McNeil, ''Biographical dictionary of the history of technology'', Routledge, 1995, page 42. was an English
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, structure, space, models, and change. History On ...
and
physicist A physicist is a scientist who specializes in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe. Physicists generally are interested in the root or ultimate caus ...
.


Work in mathematics

In 1801, Barlow was appointed assistant mathematics master at the
Royal Military Academy, Woolwich The Royal Military Academy (RMA) at Woolwich, in south-east London, was a British Army military academy for the training of commissioned officers of the Royal Artillery and Royal Engineers. It later also trained officers of the Royal Corps of Sig ...
,MacTutor Biography: Peter Barlow
/ref> and retained this post until 1847. He contributed articles on mathematics to ''
The Ladies' Diary ''The Ladies' Diary: or, Woman's Almanack'' appeared annually in London from 1704 to 1841 after which it was succeeded by ''The Lady's and Gentleman's Diary''. It featured material relating to calendars etc. including sunrise and sunset times an ...
'' as well as publishing books such as:
''An Elementary Investigation of the Theory of Numbers''
(1811);
''A New Mathematical and Philosophical Dictionary''
(1814); and
''New Mathematical Tables''
(1814). The latter became known as ''Barlow's Tables'' and gives squares, cubes, square roots, cube roots, and reciprocals of all integer numbers from 1 to 10,000. These tables were regularly reprinted until 1965, when computers rendered them obsolete. He contributed to ''
Rees's Cyclopædia Rees's ''Cyclopædia'', in full ''The Cyclopædia; or, Universal Dictionary of Arts, Sciences, and Literature'' was an important 19th-century British encyclopaedia edited by Rev. Abraham Rees (1743–1825), a Presbyterian minister and scholar w ...
'' articles on Algebra, Analysis, Geometry and Strength of Materials. Barlow also contributed largely to the ''
Encyclopædia Metropolitana ''The Encyclopædia Metropolitana'' was an encyclopedic work published in London, from 1817 to 1845, by part publication. In all it came to quarto, 30 vols., having been issued in 59 parts (22,426 pages, 565 plates). Origins Initially the proje ...
''.


Work in physics and engineering

In collaboration (1827–1832) with optician
George Dollond George Dollond (10 June 1774 – 30 November 1852) was an English optician who constructed precision optical instruments used in astronomy, geodesy and also in navigation. Together with Peter Barlow, he also invented an afocal system to extend ...
, Barlow built an
achromatic lens An achromatic lens or achromat is a lens that is designed to limit the effects of chromatic and spherical aberration. Achromatic lenses are corrected to bring two wavelengths (typically red and blue) into focus on the same plane. The most comm ...
that utilized liquid
carbon disulfide Carbon disulfide (also spelled as carbon disulphide) is a neurotoxic, colorless, volatile liquid with the formula and structure . The compound is used frequently as a building block in organic chemistry as well as an industrial and chemical non ...
. (
Achromatic lens An achromatic lens or achromat is a lens that is designed to limit the effects of chromatic and spherical aberration. Achromatic lenses are corrected to bring two wavelengths (typically red and blue) into focus on the same plane. The most comm ...
es were important optical elements of improved
telescope A telescope is a device used to observe distant objects by their emission, absorption, or reflection of electromagnetic radiation. Originally meaning only an optical instrument using lenses, curved mirrors, or a combination of both to observe ...
s.) In 1833, Barlow built an achromatic doublet lens of joined
flint glass Flint glass is optical glass that has relatively high refractive index and low Abbe number (high Dispersion (optics), dispersion). Flint glasses are arbitrarily defined as having an Abbe number of 50 to 55 or less. The currently known flint gl ...
and crown glass. A derivative of this design, named a ''
Barlow lens The Barlow lens, named after Peter Barlow, is a diverging lens which, used in series with other optics in an optical system, increases the effective focal length of an optical system as perceived by all components that are after it in the system. ...
'', is widely used in modern
astronomy Astronomy () is a natural science that studies astronomical object, celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and chronology of the Universe, evolution. Objects of interest ...
and
photography Photography is the art, application, and practice of creating durable images by recording light, either electronically by means of an image sensor, or chemically by means of a light-sensitive material such as photographic film. It is employed ...
as an optical element to increase both achromatism and magnification. In 1823, he was made a fellow of the
Royal Society The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, re ...
. Two years later, he received its
Copley Medal The Copley Medal is an award given by the Royal Society, for "outstanding achievements in research in any branch of science". It alternates between the physical sciences or mathematics and the biological sciences. Given every year, the medal is t ...
for his work on correcting the deviation in ship
compass A compass is a device that shows the cardinal directions used for navigation and geographic orientation. It commonly consists of a magnetized needle or other element, such as a compass card or compass rose, which can pivot to align itself with ...
es caused by the presence of iron in the hull. Some of his magnetic research was done in collaboration with
Samuel Hunter Christie Samuel Hunter Christie FRS (22 March 1784 – 24 January 1865) was a British physicist and mathematician. Life He studied mathematics at Trinity College, Cambridge, where he won the Smith's Prize and was second wrangler. He was particularly i ...
. He conducted early experimental and observational studies on the origins of
terrestrial magnetism Earth's magnetic field, also known as the geomagnetic field, is the magnetic field that extends from Earth's interior out into space, where it interacts with the solar wind, a stream of charged particles emanating from the Sun. The magnetic fi ...
. He is credited with the eponymous ''
Barlow's wheel An 1842 diagram of Barlow's wheel Barlow's wheel was an early demonstration of a homopolar motor, designed and built by English mathematician and physicist, Peter Barlow in 1822. It consists of a star-shaped wheel free to turn suspended over a ...
'' (an early homopolar
electric motor An electric motor is an Electric machine, electrical machine that converts electrical energy into mechanical energy. Most electric motors operate through the interaction between the motor's magnetic field and electric current in a Electromagneti ...
) and with ''
Barlow's law Barlow's law was an incorrect physical law proposed by Peter Barlow in 1825 to describe the ability of wires to conduct electricity. It said that the strength of the effect of electricity passing through a wire varies inversely with the square root ...
'' (an incorrect formula of electrical conductance). Barlow investigated a suggestion made by
André-Marie Ampère André-Marie Ampère (, ; ; 20 January 177510 June 1836) was a French physicist and mathematician who was one of the founders of the science of classical electromagnetism, which he referred to as "electrodynamics". He is also the inventor of nu ...
in 1820 that an
electromagnetic telegraph Electrical telegraphs were point-to-point text messaging systems, primarily used from the 1840s until the late 20th century. It was the first electrical telecommunications system and the most widely used of a number of early messaging systems ...
could be made by deflecting a compass needle with an electric current. In 1824 Barlow proclaimed the idea impractical after he found that the effect on the compass seriously diminished "with only 200 feet of wire". Barlow, and other eminent scientists of the time who agreed with him, are criticised for retarding the development of the telegraph. A decade passed between Ampère's paper being read at the
Paris Academy of Sciences The French Academy of Sciences (French: ''Académie des sciences'') is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French scientific research. It was at th ...
and William Ritchie building the first demonstration electromagnetic telegraph. In Barlow's defence, Ampère's design did not enclose the compass in a multiplying coil, as Ritchie's demonstrator did, so the effect would have been very weak at a distance. Steam locomotion received much attention at Barlow's hands and he sat on the railway commissions of 1836, 1839, 1842 and 1845. He also conducted several investigations for the newly formed
Railway Inspectorate Established in 1840, His Majesty's Railway Inspectorate (HMRI) is the organisation responsible for overseeing safety on Britain's railways and tramways. It was previously a separate non-departmental public body, but from 1990 to April 2006 it ...
in the early 1840s. Barlow made several contributions to the theory of
strength of materials The field of strength of materials, also called mechanics of materials, typically refers to various methods of calculating the stresses and strains in structural members, such as beams, columns, and shafts. The methods employed to predict the re ...
, including ''Essay on the strength and stress of timber'' (1817) which contains experimental data collected at Woolwich. The sixth edition (1867) of this work was prepared by Barlow's two sons after his death and contains a biography of their father. Barlow also applied his knowledge of materials to the design of bridges. His sons
Peter W. Barlow Peter William Barlow (1 February 1809 – 19 May 1885) was an English civil engineer, particularly associated with railways, bridges (he designed the first Lambeth Bridge, a crossing of the River Thames in London), the design of tunnels and the ...
and
William Henry Barlow William Henry Barlow FRS FRSE FICE MIMechE (10 May 1812 – 12 November 1902) was an English civil engineer of the 19th century, particularly associated with railway engineering projects. Barlow was involved in many engineering ent ...
became notable
civil engineer A civil engineer is a person who practices civil engineering – the application of planning, designing, constructing, maintaining, and operating infrastructure while protecting the public and environmental health, as well as improving existing ...
s of the 19th century. He was elected a Foreign Honorary Member of the
American Academy of Arts and Sciences The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and ...
in 1832. Following his death in 1862 at his home in Charlton, he was buried in Charlton Cemetery.


See also

* 2147483647, Barlow commented on this
Mersenne prime In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17t ...


References


External links


Barlow's Formula Calculator
{{DEFAULTSORT:Barlow, Peter 1776 births 1862 deaths Fellows of the Royal Society 19th-century English mathematicians English scientists Recipients of the Copley Medal Scientists from Norwich 18th-century English people Fellows of the American Academy of Arts and Sciences