Peter Barlow (mathematician)
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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, mathematical structure, structure, space, Mathematica ...
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 cau ...
.


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 Officer (armed forces), commissioned officers of the Royal Artillery and Royal Engineers. It later also trained officers o ...
,MacTutor Biography: Peter Barlow
/ref> and retained this post until 1847. He contributed articles on mathematics to '' The Ladies' Diary'' 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 people, British encyclopaedia edited by Rev. Abraham Rees (1743–1825), a Presbyterian minis ...
'' 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 pro ...
''.


Work in physics and engineering

In collaboration (1827–1832) with optician George Dollond, Barlow built an
achromatic lens An achromatic lens or achromat is a lens (optics), lens that is designed to limit the effects of chromatic aberration, chromatic and spherical aberration. Achromatic lenses are corrected to bring two wavelengths (typically red and blue) into ...
that utilized liquid
carbon disulfide Carbon disulfide (also spelled as carbon disulphide) is an inorganic compound with the chemical formula and structure . It is also considered as the anhydride of thiocarbonic acid. It is a colorless, flammable, neurotoxic liquid that is used as ...
. (
Achromatic lens An achromatic lens or achromat is a lens (optics), lens that is designed to limit the effects of chromatic aberration, chromatic and spherical aberration. Achromatic lenses are corrected to bring two wavelengths (typically red and blue) into ...
es were important optical elements of improved
telescope A telescope is a device used to observe distant objects by their emission, Absorption (electromagnetic radiation), absorption, or Reflection (physics), reflection of electromagnetic radiation. Originally, it was an optical instrument using len ...
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). Flint glasses are arbitrarily defined as having an Abbe number of 50 to 55 or less. The currently known flint glasses have refractiv ...
and crown glass. A derivative of this design, named a ''
Barlow lens The Barlow lens, named after Peter Barlow, is a type of 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 ...
'', is widely used in modern
astronomy Astronomy is a natural science that studies celestial objects and the phenomena that occur in the cosmos. It uses mathematics, physics, and chemistry in order to explain their origin and their overall evolution. Objects of interest includ ...
and
photography Photography is the visual arts, art, application, and practice of creating 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 empl ...
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 the most prestigious award of the Royal Society of the United Kingdom, conferred "for sustained, outstanding achievements in any field of science". The award alternates between the physical sciences or mathematics and the bio ...
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 No ...
es caused by the presence of iron in the hull. Some of his magnetic research was done in collaboration with Samuel Hunter Christie. He conducted early experimental and observational studies on the origins of
terrestrial magnetism The ''Journal of Geophysical Research'' is a peer-reviewed scientific journal. It is the flagship journal of the American Geophysical Union. It contains original research on the physical, chemical, and biological processes that contribute to the u ...
. He is credited with the eponymous '' Barlow's wheel'' (an early homopolar
electric motor An electric motor is a 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 electromagnetic coil, wire winding to gene ...
) and with '' Barlow's law'' (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 ...
in 1820 that an
electromagnetic telegraph Electrical telegraphy is point-to-point distance communicating via sending electric signals over wire, a system primarily used from the 1840s until the late 20th century. It was the first electrical telecommunications system and the most wide ...
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 (, ) 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 the forefront of scientific d ...
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 United Kingdom, Britain's railways and light rail, tramways. It was previously a separate non-departmental public body, but ...
in the early 1840s. Barlow made several contributions to the theory of
strength of materials Strength may refer to: Personal trait *Physical strength, as in people or animals *Character strengths like those listed in the Values in Action Inventory *The exercise of willpower Physics * Mechanical strength, the ability to withstand ...
, 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 and William Henry Barlow 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 i ...
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 (The Academy) 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 other ...
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 1 ...


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