Ehrenfried Walther von Tschirnhaus (or Tschirnhauß, ; 10 April 1651 – 11 October 1708) was a German mathematician, physicist, physician, and philosopher. He introduced the
Tschirnhaus transformation
In mathematics, a Tschirnhaus transformation, also known as Tschirnhausen transformation, is a type of mapping on polynomials developed by Ehrenfried Walther von Tschirnhaus in 1683.
Simply, it is a method for transforming a polynomial equatio ...
and is considered by some to have been the inventor of European
porcelain
Porcelain () is a ceramic material made by heating substances, generally including materials such as kaolinite, in a kiln to temperatures between . The strength and translucence of porcelain, relative to other types of pottery, arises mainl ...
, an invention long accredited to
Johann Friedrich Böttger
Johann Friedrich Böttger (also Böttcher or Böttiger; 4 February 1682 – 13 March 1719) was a German alchemist. Böttger was born in Schleiz and died in Dresden. He is normally credited with being the first European to discover the secret of th ...
but others claim porcelain had been made by English manufacturers at an even earlier date.
Biography
Von Tschirnhaus was born in
Kieslingswalde (now Sławnikowice in western
Poland
Poland, officially the Republic of Poland, is a country in Central Europe. It is divided into 16 administrative provinces called voivodeships, covering an area of . Poland has a population of over 38 million and is the fifth-most populous ...
) and died in
Dresden
Dresden (, ; Upper Saxon: ''Dräsdn''; wen, label=Upper Sorbian, Drježdźany) is the capital city of the German state of Saxony and its second most populous city, after Leipzig. It is the 12th most populous city of Germany, the fourth larg ...
,
Saxony
Saxony (german: Sachsen ; Upper Saxon: ''Saggsn''; hsb, Sakska), officially the Free State of Saxony (german: Freistaat Sachsen, links=no ; Upper Saxon: ''Freischdaad Saggsn''; hsb, Swobodny stat Sakska, links=no), is a landlocked state of ...
.
Education
Von Tschirnhaus attended the
Gymnasium at
Görlitz
Görlitz (; pl, Zgorzelec, hsb, Zhorjelc, cz, Zhořelec, :de:Ostlausitzer Mundart, East Lusatian dialect: ''Gerlz'', ''Gerltz'', ''Gerltsch'') is a town in the Germany, German state of Saxony. It is located on the Lusatian Neisse River, and ...
. Thereafter he studied
mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
,
philosophy
Philosophy (from , ) is the systematized study of general and fundamental questions, such as those about existence, reason, knowledge, values, mind, and language. Such questions are often posed as problems to be studied or resolved. Some ...
, and
medicine
Medicine is the science and practice of caring for a patient, managing the diagnosis, prognosis, prevention, treatment, palliation of their injury or disease, and promoting their health. Medicine encompasses a variety of health care pract ...
[See Jacob Adler, "The Education of Ehrenfried Walther von Tschirnhaus (1651–1708)," ''Journal of Medical Biography'' 23(1) (2015): 27-35] at the
University of Leiden
Leiden University (abbreviated as ''LEI''; nl, Universiteit Leiden) is a public research university in Leiden, Netherlands. The university was founded as a Protestant university in 1575 by William, Prince of Orange, as a reward to the city of Le ...
. He traveled considerably in
France
France (), officially the French Republic ( ), is a country primarily located in Western Europe. It also comprises of Overseas France, overseas regions and territories in the Americas and the Atlantic Ocean, Atlantic, Pacific Ocean, Pac ...
,
Italy
Italy ( it, Italia ), officially the Italian Republic, ) or the Republic of Italy, is a country in Southern Europe. It is located in the middle of the Mediterranean Sea, and its territory largely coincides with the homonymous geographical re ...
, and
Switzerland
). Swiss law does not designate a ''capital'' as such, but the federal parliament and government are installed in Bern, while other federal institutions, such as the federal courts, are in other cities (Bellinzona, Lausanne, Luzern, Neuchâtel ...
, and served in the army of Holland (1672–1673). During his travels he met
Baruch de Spinoza
Baruch (de) Spinoza (born Bento de Espinosa; later as an author and a correspondent ''Benedictus de Spinoza'', anglicized to ''Benedict de Spinoza''; 24 November 1632 – 21 February 1677) was a Dutch philosopher of Portuguese-Jewish origin, b ...
and
Christiaan Huygens
Christiaan Huygens, Lord of Zeelhem, ( , , ; also spelled Huyghens; la, Hugenius; 14 April 1629 – 8 July 1695) was a Dutch mathematician, physicist, engineer, astronomer, and inventor, who is regarded as one of the greatest scientists of ...
in the Netherlands,
Isaac Newton
Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English mathematician, physicist, astronomer, alchemist, theologian, and author (described in his time as a "natural philosopher"), widely recognised as one of the grea ...
in England, and
Gottfried Wilhelm Leibniz
Gottfried Wilhelm (von) Leibniz . ( – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat. He is one of the most prominent figures in both the history of philosophy and the history of mathema ...
(with whom he maintained a lifelong correspondence) in Paris. He became a member of the
Académie Royale des 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 the ...
in Paris.
The mathematician
The
Tschirnhaus transformation
In mathematics, a Tschirnhaus transformation, also known as Tschirnhausen transformation, is a type of mapping on polynomials developed by Ehrenfried Walther von Tschirnhaus in 1683.
Simply, it is a method for transforming a polynomial equatio ...
, by which he removed certain intermediate terms from a given
algebraic equation
In mathematics, an algebraic equation or polynomial equation is an equation of the form
:P = 0
where ''P'' is a polynomial with coefficients in some field, often the field of the rational numbers. For many authors, the term ''algebraic equation'' ...
, is well known. It was published in the scientific journal ''
Acta Eruditorum
(from Latin: ''Acts of the Erudite'') was the first scientific journal of the German-speaking lands of Europe, published from 1682 to 1782.
History
''Acta Eruditorum'' was founded in 1682 in Leipzig by Otto Mencke, who became its first editor, ...
'' in 1683.
In 1682, Von Tschirnhaus worked out the theory of
catacaustic
In differential geometry, a caustic is the envelope of rays either reflected or refracted by a manifold. It is related to the concept of caustics in geometric optics. The ray's source may be a point (called the radiant) or parallel rays from a ...
s and showed that they were
rectifiable. This was the second case in which the
envelope
An envelope is a common packaging item, usually made of thin, flat material. It is designed to contain a flat object, such as a letter or card.
Traditional envelopes are made from sheets of paper cut to one of three shapes: a rhombus, a shor ...
of a moving line was determined. One of the catacaustics of a
parabola
In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.
One descript ...
still is known as
Tschirnhausen cubic
In algebraic geometry, the Tschirnhausen cubic, or Tschirnhaus' cubic is a plane curve defined, in its left-opening form, by the polar equation
:r = a\sec^3 \left(\frac\right)
where is the secant function.
History
The curve was studied by Ehrenf ...
.
In 1696, Johann Bernoulli posed the problem of the
brachistochrone
In physics and mathematics, a brachistochrone curve (), or curve of fastest descent, is the one lying on the plane between a point ''A'' and a lower point ''B'', where ''B'' is not directly below ''A'', on which a bead slides frictionlessly under ...
to the readers of Acta Eruditorum. Tschirnhaus was one of only five mathematicians to submit a solution. Bernoulli published these contributions (including Tschirnhaus') along with his own in the journal in May of the following year.
Von Tschirnhaus produced various types of lenses and mirrors, some of them are displayed in museums. He erected a large glass works in
Saxony
Saxony (german: Sachsen ; Upper Saxon: ''Saggsn''; hsb, Sakska), officially the Free State of Saxony (german: Freistaat Sachsen, links=no ; Upper Saxon: ''Freischdaad Saggsn''; hsb, Swobodny stat Sakska, links=no), is a landlocked state of ...
, where he constructed burning glasses of unusual perfection and carried on his experiments (1687–1688).
His work ''Medicina mentis sive artis inveniendi praecepta generali'' (1687) combines methods of
deduction with
empiricism
In philosophy, empiricism is an epistemological theory that holds that knowledge or justification comes only or primarily from sensory experience. It is one of several views within epistemology, along with rationalism and skepticism. Empir ...
and shows him to be philosophically connected to the
Enlightenment.
Philosophy
Tschirnhaus was for many years forgotten as a philosopher and the studies treating the subject often discuss Tschirnhaus' connection to other philosophers and scientists at the time. During his time at the University of Leiden he started correspondence with Spinoza and later also Leibniz. Tschirnhaus was one of the first to get a copy of Spinoza's masterpiece
Ethics
Ethics or moral philosophy is a branch of philosophy that "involves systematizing, defending, and recommending concepts of right and wrong behavior".''Internet Encyclopedia of Philosophy'' The field of ethics, along with aesthetics, concerns m ...
.
Inventor of porcelain
After he returned home to
Saxony
Saxony (german: Sachsen ; Upper Saxon: ''Saggsn''; hsb, Sakska), officially the Free State of Saxony (german: Freistaat Sachsen, links=no ; Upper Saxon: ''Freischdaad Saggsn''; hsb, Swobodny stat Sakska, links=no), is a landlocked state of ...
, von Tschirnhaus initiated systematic experiments, using mixtures of various
silicate
In chemistry, a silicate is any member of a family of polyatomic anions consisting of silicon and oxygen, usually with the general formula , where . The family includes orthosilicate (), metasilicate (), and pyrosilicate (, ). The name is al ...
s and earths at different temperatures to develop
porcelain
Porcelain () is a ceramic material made by heating substances, generally including materials such as kaolinite, in a kiln to temperatures between . The strength and translucence of porcelain, relative to other types of pottery, arises mainl ...
, which at the time was available only as a costly import from
China
China, officially the People's Republic of China (PRC), is a country in East Asia. It is the world's most populous country, with a population exceeding 1.4 billion, slightly ahead of India. China spans the equivalent of five time zones and ...
and
Japan
Japan ( ja, 日本, or , and formally , ''Nihonkoku'') is an island country in East Asia. It is situated in the northwest Pacific Ocean, and is bordered on the west by the Sea of Japan, while extending from the Sea of Okhotsk in the north ...
. As early as 1704, he showed “porcelan” to Leibniz's secretary. He proposed the establishment of a porcelain factory to
Augustus II of Poland
Augustus II; german: August der Starke; lt, Augustas II; in Saxony also known as Frederick Augustus I – Friedrich August I (12 May 16701 February 1733), most commonly known as Augustus the Strong, was Elector of Saxony from 1694 as well as Ki ...
, Elector of Saxony, but was denied. Also in 1704, von Tschirnhaus became the supervisor of
Johann Friedrich Böttger
Johann Friedrich Böttger (also Böttcher or Böttiger; 4 February 1682 – 13 March 1719) was a German alchemist. Böttger was born in Schleiz and died in Dresden. He is normally credited with being the first European to discover the secret of th ...
, a nineteen-year-old
alchemist
Alchemy (from Arabic: ''al-kīmiyā''; from Ancient Greek: χυμεία, ''khumeía'') is an ancient branch of natural philosophy, a philosophical and protoscience, protoscientific tradition that was historically practiced in Chinese alchemy, C ...
who claimed to be able to make gold. Böttger only reluctantly and under pressure started to participate in Tschirnhaus’ work by 1707. The use of
kaolin
Kaolinite ( ) is a clay mineral, with the chemical composition Al2 Si2 O5( OH)4. It is an important industrial mineral. It is a layered silicate mineral, with one tetrahedral sheet of silica () linked through oxygen atoms to one octahedral ...
(from
Schneeberg, Saxony
Schneeberg is a town in Saxony’s district of Erzgebirgskreis. It has roughly 16,400 inhabitants and belongs to the Town League of Silberberg (''Städtebund Silberberg''). It lies 4 km west of Aue, and southeast of Zwickau.
Geography
L ...
) and
alabaster
Alabaster is a mineral or rock that is soft, often used for carving, and is processed for plaster powder. Archaeologists and the stone processing industry use the word differently from geologists. The former use it in a wider sense that includes ...
advanced the work, so that August II named him the director of the porcelain factory he intended to establish. The Elector ordered payment of 2,561 thalers to von Tschirnhaus, but the recipient requested postponement until the factory was producing. When Von Tschirnhaus died suddenly, on 11 October 1708, the project came to a halt.
Three days after Von Tschirnhaus's death, there was a burglary at his house and, according to a report by Böttger, a small piece of porcelain was stolen. This report suggests that Böttger himself recognized that Von Tschirnhaus already knew how to make porcelain, a key piece of evidence that Von Tschirnhaus and not Böttger was the inventor. Work resumed on 20 March 1709, by which time Melchior Steinbrück had arrived to assess the dead man's estate, which included the notes about making porcelain, and had met with Böttger. On 28 March 1709, Böttger went to August II and announced the invention of porcelain. Böttger now was nominated to head the first European manufactory for porcelain. Steinbrück became an inspector and married Böttger's sister.
Contemporary testimonies of knowledgeable people indicate that Tschirnhaus invented porcelain. In 1719, for example, Samuel Stölzel of the porcelain factory of
Meissen
Meissen (in German orthography: ''Meißen'', ) is a town of approximately 30,000 about northwest of Dresden on both banks of the Elbe river in the Free State of Saxony, in eastern Germany. Meissen is the home of Meissen porcelain, the Albrecht ...
went to
Vienna
en, Viennese
, iso_code = AT-9
, registration_plate = W
, postal_code_type = Postal code
, postal_code =
, timezone = CET
, utc_offset = +1
, timezone_DST ...
with the still-secret recipe and confirmed that it had been invented by Von Tschirnhaus and not by Böttger. In that same year, the General Secretary of the Meissen factory also indicated that the invention was not Böttger's “but by the late Herr von Tschirnhaus
whose written science” was handed to Böttger “by the inspector Steinbrück.” Nevertheless, Böttger's name became closely associated with the invention.
Works
* ''Medicina corporis'', Amsterdam, 1686.
* ''Medicina mentis'', Amsterdam, 1687.
* ''Medicina mentis et corporis'', with an Introduction by Wilhelm Risse. (Anastatic reprint) Hildesheim: Georg Olms, 1964.
See also
*
List of German inventors and discoverers
----
__NOTOC__
This is a list of German inventors and discoverers. The following list comprises people from Germany or German-speaking Europe, and also people of predominantly German heritage, in alphabetical order of the surname.
For the li ...
*
Generalized conic In mathematics, a generalized conic is a geometrical object defined by a property which is a generalization of sums defining property of the classical conic. For example, in elementary geometry, an ellipse can be defined as the locus of a point wh ...
Notes
References
* This article or a previous version of it is partially based on the public domain ''A Short Account of the History of Mathematics'' (4th edition, 1908) by W.W. Rouse Ball, as transcribed a
Some Contemporaries of Descartes, Fermat, Pascal and Huygens: Tchirnhausen* A significant part of the article is based on the corresponding German Wikipedia website from February 2, 2006 that contains references about the Böttger–Tschirnhaus controversy.
*
*
* Hans-Joachim Böttcher: Ehrenfried Walther von Tschirnhaus - Das bewunderte, bekämpfte und totgeschwiegene Genie. Dresden 2014.
External links
*
*
*
Website of the TschirnhausgesellschaftEhrenfried Walther von Tschirnhaus(site "under construction", with broken image links; not clear that the site has not been abandoned...)
Gunter E. Grimm: Argumentation und Schreibstrategie. Zum Vulkanismus-Diskurs im Werk von Ehrenfried Walther von Tschirnhaus''A method for removing all intermediate terms from a given equation''English translation (by R.F. Green) of his 1683 paper
{{DEFAULTSORT:Tschirnhaus, Ehrenfried Walther Von
1651 births
1708 deaths
17th-century German mathematicians
18th-century German mathematicians
17th-century German inventors
Members of the French Academy of Sciences
People from the Electorate of Saxony
Leiden University alumni
Meissen porcelain
17th-century German writers
17th-century German male writers
People associated with Baruch Spinoza
18th-century German inventors