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Nicolas Fuss (29 January 1755 – 4 January 1826), also known as Nikolai Fuss, was a
Swiss Swiss may refer to: * the adjectival form of Switzerland * Swiss people Places * Swiss, Missouri * Swiss, North Carolina * Swiss, West Virginia *Swiss, Wisconsin Other uses * Swiss-system tournament, in various games and sports *Swiss Internatio ...
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 ...
, living most of his life in
Imperial Russia The Russian Empire was an empire and the final period of the Russian monarchy from 1721 to 1917, ruling across large parts of Eurasia. It succeeded the Tsardom of Russia following the Treaty of Nystad, which ended the Great Northern War. T ...
.


Biography

Fuss was born in
Basel, Switzerland , french: link=no, Bâlois(e), it, Basilese , neighboring_municipalities= Allschwil (BL), Hégenheim (FR-68), Binningen (BL), Birsfelden (BL), Bottmingen (BL), Huningue (FR-68), Münchenstein (BL), Muttenz (BL), Reinach (BL), Riehen (BS) ...
. He moved to
Saint Petersburg Saint Petersburg ( rus, links=no, Санкт-Петербург, a=Ru-Sankt Peterburg Leningrad Petrograd Piter.ogg, r=Sankt-Peterburg, p=ˈsankt pʲɪtʲɪrˈburk), formerly known as Petrograd (1914–1924) and later Leningrad (1924–1991), i ...
to serve as a mathematical assistant to
Leonhard Euler Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries ...
from 1773–1783, and remained there until his death. He contributed to
spherical trigonometry Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles, traditionally expressed using trigonometric functions. On the sphere, geodesics are gre ...
,
differential equation In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, a ...
s, the optics of
microscope A microscope () is a laboratory instrument used to examine objects that are too small to be seen by the naked eye. Microscopy is the science of investigating small objects and structures using a microscope. Microscopic means being invisib ...
s and
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 obs ...
s,
differential geometry Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and mul ...
, and actuarial science. He also contributed to
Euclidean geometry Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry: the '' Elements''. Euclid's approach consists in assuming a small set of intuitively appealing axiom ...
, including the
problem of Apollonius In Euclidean plane geometry, Apollonius's problem is to construct circles that are tangent to three given circles in a plane (Figure 1). Apollonius of Perga (c. 262 190 BC) posed and solved this famous problem in his work (', "Tangencies ...
. In 1797, he was elected a foreign member of the
Royal Swedish Academy of Sciences The Royal Swedish Academy of Sciences ( sv, Kungliga Vetenskapsakademien) is one of the royal academies of Sweden. Founded on 2 June 1739, it is an independent, non-governmental scientific organization that takes special responsibility for prom ...
. From 1800–1826, Fuss served as the permanent secretary to the Academy of Sciences in St. Petersburg. 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, ...
in 1812. He died in St. Petersburg.


Family

Nicolas Fuss was married to Albertine Benedikte Philippine Luise Euler (1766-1822). Albertine Euler was the daughter of Leonhard Euler's eldest son Johann Albrecht Euler (1734-1800) and his wife Anna Sophie Charlotte Hagemeister. Pauline Fuss, a daughter of Nicolas and Albertine, married Russian
chemist A chemist (from Greek ''chēm(ía)'' alchemy; replacing ''chymist'' from Medieval Latin ''alchemist'') is a scientist trained in the study of chemistry. Chemists study the composition of matter and its properties. Chemists carefully describe t ...
Genrikh Struve. Nicolas's son Paul Heinrich von Fuss (1798-1855) edited the first attempt at a collected works of
Euler Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in m ...
. Paul Heinrich was a member of the Academy of Sciences in Petersburg from 1823 and its secretary from 1826. Nicolas's son Georg Albert 1806–54), was from 1839 an astronomer in Pulowa and then from 1848 in Vilnius and also published on magnetism.


See also

*
Catenary In physics and geometry, a catenary (, ) is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends in a uniform gravitational field. The catenary curve has a U-like shape, superficia ...
* Fuss' theorem for bicentric quadrilaterals * Fuss–Catalan number


References

* , 2006 *


External links


MacTutor History of Mathematics
* {{DEFAULTSORT:Fuss, Nicolas 1755 births 1826 deaths 18th-century Swiss mathematicians Members of the Royal Swedish Academy of Sciences Fellows of the American Academy of Arts and Sciences Full members of the Saint Petersburg Academy of Sciences Swiss expatriates in Russia Russian people of Swiss descent 19th-century Swiss mathematicians 18th-century mathematicians from the Russian Empire 19th-century mathematicians from the Russian Empire Members of the Royal Society of Sciences in Uppsala