Ehrenfried Walther von Tschirnhaus
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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 and is considered by some to have been the inventor of European
porcelain Porcelain (), also called china, is a ceramic material made by heating Industrial mineral, raw materials, generally including kaolinite, in a kiln to temperatures between . The greater strength and translucence of porcelain, relative to oth ...
, an invention long accredited to Johann Friedrich Böttger 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 extends from the Baltic Sea in the north to the Sudetes and Carpathian Mountains in the south, bordered by Lithuania and Russia to the northeast, Belarus and Ukrai ...
) and died in
Dresden Dresden (; ; Upper Saxon German, Upper Saxon: ''Dräsdn''; , ) is the capital city of the States of Germany, German state of Saxony and its second most populous city after Leipzig. It is the List of cities in Germany by population, 12th most p ...
,
Saxony Saxony, officially the Free State of Saxony, is a landlocked state of Germany, bordering the states of Brandenburg, Saxony-Anhalt, Thuringia, and Bavaria, as well as the countries of Poland and the Czech Republic. Its capital is Dresden, and ...
.


Education

Von Tschirnhaus attended the Gymnasium at
Görlitz Görlitz (; ; ; ; ; Lusatian dialects, East Lusatian: , , ) is a town in the Germany, German state of Saxony. It is on the river Lusatian Neisse and is the largest town in Upper Lusatia, the second-largest town in the region of Lusatia after ...
. Thereafter he studied
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
,
philosophy Philosophy ('love of wisdom' in Ancient Greek) is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, Value (ethics and social sciences), value, mind, and language. It is a rational an ...
, and
medicine Medicine is the science and Praxis (process), practice of caring for patients, managing the Medical diagnosis, diagnosis, prognosis, Preventive medicine, prevention, therapy, treatment, Palliative care, palliation of their injury or disease, ...
at the
University of Leiden Leiden University (abbreviated as ''LEI''; ) is a public research university in Leiden, Netherlands. Established in 1575 by William, Prince of Orange as a Protestant institution, it holds the distinction of being the oldest university in the Neth ...
. He travelled considerably in
France France, officially the French Republic, is a country located primarily in Western Europe. Overseas France, Its overseas regions and territories include French Guiana in South America, Saint Pierre and Miquelon in the Atlantic Ocean#North Atlan ...
,
Italy Italy, officially the Italian Republic, is a country in Southern Europe, Southern and Western Europe, Western Europe. It consists of Italian Peninsula, a peninsula that extends into the Mediterranean Sea, with the Alps on its northern land b ...
, and
Switzerland Switzerland, officially the Swiss Confederation, is a landlocked country located in west-central Europe. It is bordered by Italy to the south, France to the west, Germany to the north, and Austria and Liechtenstein to the east. Switzerland ...
, and served in the army of Holland (1672–1673). During his travels he met Baruch de Spinoza and
Christiaan Huygens Christiaan Huygens, Halen, Lord of Zeelhem, ( , ; ; also spelled Huyghens; ; 14 April 1629 – 8 July 1695) was a Dutch mathematician, physicist, engineer, astronomer, and inventor who is regarded as a key figure in the Scientific Revolution ...
in the Netherlands,
Isaac Newton Sir Isaac Newton () was an English polymath active as a mathematician, physicist, astronomer, alchemist, theologian, and author. Newton was a key figure in the Scientific Revolution and the Age of Enlightenment, Enlightenment that followed ...
in England, and
Gottfried Wilhelm Leibniz Gottfried Wilhelm Leibniz (or Leibnitz; – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Sir Isaac Newton, with the creation of calculus in addition to ...
(with whom he maintained a lifelong correspondence) in Paris. He became a member of the
Académie Royale des 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 ...
in Paris.


The mathematician

The Tschirnhaus transformation, 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 example, x^5-3x+1=0 is an algebraic equati ...
, 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 edit ...
'' in 1683. In 1682, Von Tschirnhaus worked out the theory of catacaustics 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 (message), letter or Greeting card, card. Traditional envelopes are made from sheets of paper cut to one o ...
of a moving line was determined. One of the catacaustics of a
parabola In mathematics, a parabola is a plane curve which is Reflection symmetry, mirror-symmetrical and is approximately U-shaped. It fits several superficially different Mathematics, mathematical descriptions, which can all be proved to define exactl ...
is still 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 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, officially the Free State of Saxony, is a landlocked state of Germany, bordering the states of Brandenburg, Saxony-Anhalt, Thuringia, and Bavaria, as well as the countries of Poland and the Czech Republic. Its capital is Dresden, and ...
, 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 view which holds that true knowledge or justification comes only or primarily from sensory experience and empirical evidence. It is one of several competing views within epistemology, along ...
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 is the philosophy, philosophical study of Morality, moral phenomena. Also called moral philosophy, it investigates Normativity, normative questions about what people ought to do or which behavior is morally right. Its main branches inclu ...
''; it is thought that the copy now in the
Vatican Library The Vatican Apostolic Library (, ), more commonly known as the Vatican Library or informally as the Vat, is the library of the Holy See, located in Vatican City, and is the city-state's national library. It was formally established in 1475, alth ...
, the only extant pre-publication copy, may have been Tschirnhaus's. In his correspondence with Spinoza, which has been preserved, he raises several objections to some of the claims in the ''Ethics'', such as what exactly constitutes the immediate infinite causes of the attributes.


Inventor of porcelain

After he returned home to
Saxony Saxony, officially the Free State of Saxony, is a landlocked state of Germany, bordering the states of Brandenburg, Saxony-Anhalt, Thuringia, and Bavaria, as well as the countries of Poland and the Czech Republic. Its capital is Dresden, and ...
, von Tschirnhaus initiated systematic experiments, using mixtures of various
silicate 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 also used ...
s and earths at different temperatures to develop
porcelain Porcelain (), also called china, is a ceramic material made by heating Industrial mineral, raw materials, generally including kaolinite, in a kiln to temperatures between . The greater strength and translucence of porcelain, relative to oth ...
, 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. With population of China, a population exceeding 1.4 billion, it is the list of countries by population (United Nations), second-most populous country after ...
and
Japan Japan is an island country in East Asia. Located in the Pacific Ocean off the northeast coast of the Asia, Asian mainland, it is bordered on the west by the Sea of Japan and extends from the Sea of Okhotsk in the north to the East China Sea ...
. As early as 1704, he showed “porcelan” to Leibniz's secretary. He proposed the establishment of a porcelain factory to Augustus II of Poland, Elector of Saxony, but was denied. Also in 1704, von Tschirnhaus became the supervisor of Johann Friedrich Böttger, a nineteen-year-old
alchemist Alchemy (from the Arabic word , ) is an ancient branch of natural philosophy, a philosophical and protoscientific tradition that was historically practised in China, India, the Muslim world, and Europe. In its Western form, alchemy is first ...
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 ( ; also called kaolin) is a clay mineral, with the chemical composition Al2 Si2 O5( OH)4. It is a layered silicate mineral, with one tetrahedral sheet of silica () linked through oxygen atoms to one octahedral sheet of alumina (). ...
(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 ...
) and
alabaster Alabaster is a mineral and a soft Rock (geology), rock used for carvings and as a source of plaster powder. Archaeologists, geologists, and the stone industry have different definitions for the word ''alabaster''. In archaeology, the term ''alab ...
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 Tschirnhaus died suddenly, on 11 October 1708, the project came to a halt. Three days after 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 Tschirnhaus already knew how to make porcelain, a key piece of evidence that 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 ( ), is a town of approximately 30,000 about northwest of Dresden and 75 km (46 mi) west of Bautzen on both banks of the Elbe river in the Free State of Saxony, in eastern Germany. Meissen is the home of Meissen porcelain, th ...
went to
Vienna Vienna ( ; ; ) is the capital city, capital, List of largest cities in Austria, most populous city, and one of Federal states of Austria, nine federal states of Austria. It is Austria's primate city, with just over two million inhabitants. ...
with the still-secret recipe and confirmed that it had been invented by 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 * Generalized conic


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 Tschirnhausgesellschaft

Ehrenfried 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