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Jurij Vega

 
Jurij Vega

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Jurij Vega



 
 
Baron
Baron

Baron is a specific title of nobility. The word baron comes from Old French baron, itself from Old High German and latin baro meaning " man, warrior"; it merged with cognate Old English language beorn meaning "nobleman."...
 Jurij Bartolomej Vega (also correct Veha; official ; ) (March 23, 1754 – September 26, 1802) was a Slovene mathematician
Mathematician

A mathematician is a person whose primary area of study and/or research is the field of mathematics....
, physicist
Physicist

A physicist is a scientist who studies or practices physics. Physicists study a wide range of physical phenomena in many Physics#Major fields of physics spanning all length scales: from atom particles of which all ordinary matter is made to the behavior of the material Universe as a whole ....
 and artillery
Artillery

Artillery is a military Combat Arms which employs any apparatus, machine, an assortment of tools or instruments, a system or systems used as weapons for the discharge of large projectiles in combat as a major contribution of fire power within the overall military capability of an armed force....
 officer.

in the small village of Zagorica
Zagorica pri Dolskem

Zagorica pri Dolskem is a dispersed settlement in the hills northeast of Dolsko in the Dol pri Ljubljani Municipality in the Upper Carniola region of Slovenia....
 east of Ljubljana
Ljubljana

Ljubljana is the capital city of Slovenia and its largest town. It is located in the center of the country and is a mid-sized city of some 270,000 inhabitants....
 in Slovenia
Slovenia

Slovenia , officially the Republic of Slovenia , is a country in southern Central Europe bordering Italy to the west, the Adriatic Sea to the southwest, Croatia to the south and east, Hungary to the northeast, and Austria to the north....
, Jurij was 6 years old when his father Jernej Veha died. Jurij (or George in English
English language

English is a West Germanic language that originated in Anglo-Saxon England and has lingua franca status in many parts of the world as a result of the military, economic, scientific, political and cultural influence of the British Empire in the 18th, 19th and early 20th centuries and that of the United States from the mid 20th century onwa...
) was educated first in Moravce and later in 1767 attended high school for six years in Ljubljana, studying Latin, Greek
Greek language

Greek is an Indo-European languages native to the southern Balkan peninsula, the language of the Greek people. It forms an independent branch within Indo-European....
, religion
Religion

A religion is an organized approach to human spirituality which usually encompasses a set of myth, symbols, beliefs and practices, often with a supernatural or transcendence quality, that give meaning to the practitioner's experiences of life through reference to a higher power or truth....
, German, history
HIStory

HIStory: Past, Present and Future, Book I is a double album by Michael Jackson, released on June 20, 1995, and is Jackson's ninth. The first disc, named "HIStory Begins" consists of a selection of Jackson's greatest hits from the singer's past fifteen years, while the second, named "HIStory Continues" features new songs, with the...
, geography
Geography

Geography is the study of the Earth and its lands, features, inhabitants, and phenomena. A literal translation would be "to describe or write about the Earth"....
, science
Science

In its broadest sense, science refers to any systematic knowledge or practice. In its more usual restricted sense, science refers to a system of acquiring knowledge based on scientific method, as well as to the organized body of knowledge gained through such research....
, and mathematics
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
.






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Encyclopedia


Baron
Baron

Baron is a specific title of nobility. The word baron comes from Old French baron, itself from Old High German and latin baro meaning " man, warrior"; it merged with cognate Old English language beorn meaning "nobleman."...
 Jurij Bartolomej Vega (also correct Veha; official ; ) (March 23, 1754 – September 26, 1802) was a Slovene mathematician
Mathematician

A mathematician is a person whose primary area of study and/or research is the field of mathematics....
, physicist
Physicist

A physicist is a scientist who studies or practices physics. Physicists study a wide range of physical phenomena in many Physics#Major fields of physics spanning all length scales: from atom particles of which all ordinary matter is made to the behavior of the material Universe as a whole ....
 and artillery
Artillery

Artillery is a military Combat Arms which employs any apparatus, machine, an assortment of tools or instruments, a system or systems used as weapons for the discharge of large projectiles in combat as a major contribution of fire power within the overall military capability of an armed force....
 officer.

Early life

Born in the small village of Zagorica
Zagorica pri Dolskem

Zagorica pri Dolskem is a dispersed settlement in the hills northeast of Dolsko in the Dol pri Ljubljani Municipality in the Upper Carniola region of Slovenia....
 east of Ljubljana
Ljubljana

Ljubljana is the capital city of Slovenia and its largest town. It is located in the center of the country and is a mid-sized city of some 270,000 inhabitants....
 in Slovenia
Slovenia

Slovenia , officially the Republic of Slovenia , is a country in southern Central Europe bordering Italy to the west, the Adriatic Sea to the southwest, Croatia to the south and east, Hungary to the northeast, and Austria to the north....
, Jurij was 6 years old when his father Jernej Veha died. Jurij (or George in English
English language

English is a West Germanic language that originated in Anglo-Saxon England and has lingua franca status in many parts of the world as a result of the military, economic, scientific, political and cultural influence of the British Empire in the 18th, 19th and early 20th centuries and that of the United States from the mid 20th century onwa...
) was educated first in Moravce and later in 1767 attended high school for six years in Ljubljana, studying Latin, Greek
Greek language

Greek is an Indo-European languages native to the southern Balkan peninsula, the language of the Greek people. It forms an independent branch within Indo-European....
, religion
Religion

A religion is an organized approach to human spirituality which usually encompasses a set of myth, symbols, beliefs and practices, often with a supernatural or transcendence quality, that give meaning to the practitioner's experiences of life through reference to a higher power or truth....
, German, history
HIStory

HIStory: Past, Present and Future, Book I is a double album by Michael Jackson, released on June 20, 1995, and is Jackson's ninth. The first disc, named "HIStory Begins" consists of a selection of Jackson's greatest hits from the singer's past fifteen years, while the second, named "HIStory Continues" features new songs, with the...
, geography
Geography

Geography is the study of the Earth and its lands, features, inhabitants, and phenomena. A literal translation would be "to describe or write about the Earth"....
, science
Science

In its broadest sense, science refers to any systematic knowledge or practice. In its more usual restricted sense, science refers to a system of acquiring knowledge based on scientific method, as well as to the organized body of knowledge gained through such research....
, and mathematics
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
. At that time there were about 500 students there. He was a schoolfellow of Anton Tomaž Linhart
Anton Tomaž Linhart

Anton Toma? Linhart was a Slovenes playwright and historian, best known as the author of the first comedy in Slovene language, ?upanova Micka ....
, a Slovenian writer and historian. Jurij completed high school when he was 19, in 1773. After completing Lyceum
Lyceum

A Lyceum can be*an educational institution , or*a public hall used for cultural events like concerts.*Mount Lyceum . The holy mount of the Arcadians....
 in Ljubljana he became a navigational engineer. Tentamen philosophicum, a list of questions for his comprehensive examination, was preserved and is available in the Mathematical Library in Ljubljana. The problems cover logic
Logic

Logic is the study of the principles of valid demonstration and inference. Logic is a branch of philosophy, a part of the classical Trivium . The word derives from Greek language ?????? , fem....
, algebra
Algebra

Algebra is a branch of mathematics concerning the study of structure , relation , and quantity. Together with geometry, mathematical analysis, combinatorics, and number theory, algebra is one of the main branches of mathematics....
, metaphysics
Metaphysics

Metaphysics investigates principles of reality transcending those of any particular science. cosmology and ontology are traditional branches of metaphysics....
, geometry
Geometry

Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers....
, trigonometry
Trigonometry

Trigonometry is a branch of mathematics that deals with triangle s, particularly those plane triangles in which one angle has 90 degrees . Trigonometry deals with relationships between the sides and the angles of triangles and with the trigonometric functions, which describe those relationships....
, geodesy
Geodesy

Geodesy , also called geodetics, a branch of earth sciences, is the scientific discipline that deals with the measurement and representation of the Earth, including its gravitational field, in a three-dimensional time-varying space....
, stereometry, geometry
Geometry

Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers....
 of curve
Curve

In mathematics, a curve consists of the points through which a continuous function moving point passes. This notion captures the intuitive idea of a geometrical dimension object, which furthermore is connectedness in the sense of having no continuous function or continuum ....
s, ballistics
Ballistics

Ballistics is the science of mechanics that deals with the flight, behavior, and effects of projectiles, especially bullets, gravity bombs, rockets, or the like; the science or art of designing and accelerating projectiles so as to achieve a desired performance....
, and general and special physics
Physics

Physics is the natural science which examines basic concepts such as energy, force, and spacetime and all that derives from these, such as mass, charge, matter and its Motion ....
.

Military service

Jurij left Ljubljana five years after graduation and entered military service in 1780 as Professor of Mathematics at the Artillery School in Vienna. At that time he started to sign his last name as Vega and no longer Veha. When Jurij was 33 he married Josefa Svoboda (Jožefa Swoboda) (1771–1800), a Czech
Czech Republic

The Czech Republic , is a landlocked country in Central Europe. The country borders Poland to the northeast, Germany to the west, Austria to the south and Slovakia to the east....
 noble from Ceské Budejovice
Ceské Budejovice

Cesk? Budejovice is a city in the Czech Republic. It is the largest city in the South Bohemian Region and is the political and commercial capital of the region and centre of the Roman Catholic Diocese of Cesk? Budejovice and of the University of South Bohemia....
 who was 16 at that time.

Vega participated in several wars. In 1788 he served under Austrian Imperial Field-Marshal Ernst Gideon von Laudon (1717–1790) in a campaign against the Turks
Ottoman Empire

The Ottoman Empire , also known by its contemporaries as the Turkish Empire or Turkey , was an empire that lasted from 1299?1923. It was Treaty of Lausanne by the Republic of Turkey, which was officially proclaimed on October 29, 1923....
 at Belgrade
Belgrade

Belgrade is the capital and largest city of Serbia. The city lies on international waterway, at the confluence of the Sava River and Danube rivers, where the Pannonian Plain meets the Balkan Peninsula....
. His command of several mortar
Mortar (weapon)

A mortar is a Muzzleloader indirect fire weapon that fires shell at low velocities, short ranges, and high-arcing Ballistics trajectories. It typically has a barrel length less than 15 times its caliber....
 batteries contributed considerably to the fall of the Belgrade fortress. Between 1793 and 1797 he fought French Revolution
French Revolution

The French Revolution was a period of political and social upheaval and radical change in the history of France, during which the French governmental structure, previously an absolute monarchy with feudalism for the aristocracy and Roman Catholic Church clergy, underwent radical change to forms based on Age of Enlightenment principles of cit...
aries under the command of Austrian General Dagobert-Sigismond de Wurmser (1724–1797) with the European coalition on the Austrian side. He fought at Fort Louis, Mannheim
Mannheim

Mannheim is a city in Germany. With 327,318 inhabitants it is the second-largest city in the state of Baden-W?rttemberg after the capital Stuttgart....
, Mainz
Mainz

Mainz is a city in Germany and the capital of the Germany States of Germany of Rhineland-Palatinate. It was a politically important seat of the Prince-elector of Mainz under the Holy Roman Empire, and previously was a Roman Empire fort city which commanded the west bank of the Rhine River and formed part of the northernmost frontier of th...
, Wiesbaden
Wiesbaden

Wiesbaden is a city in southwestern Germany and the capital of the States of Germany of Hesse. It has about 300,400 inhabitants, plus approximately 35,000 United States citizens ....
, Kehl
Kehl

Kehl is a town in southwestern Germany in the Ortenaukreis, Baden-W?rttemberg. It is located on the river Rhine, directly opposite Strasbourg....
, and Dietz
Dietz

Dietz is a surname, and may refer to:* Cyrus E. Dietz , Illinois Supreme Court Justice* Danny Dietz , United States Navy SEALs and recipient of the Navy Cross...
. In 1795 he had two 30-pound (14 kilogram) mortars cast, with conically drilled bases and a greater charge, for a firing range up to 3000 metres (3300 yards). The old 60 lb (27 kg) mortars had a range of only 1800 m (2000 yd).

In September 1802 Jurij Vega was reported missing. After a few days' search his body was found. The police report concluded that it was an accident. However, the true cause of his death remains a mystery, but it is believed that he died on 1802-09-26 in Nußdorf
Nußdorf, Vienna

Nu?dorf was a separate municipality until 1892 and is today a suburb of Vienna in the Districts of Vienna of D?bling....
 on the Danube
Danube

The Danube is the longest river in the European Union and Europe's second longest river after the Volga.The river originates in the Black Forest in Germany as the much smaller Brigach and Breg River rivers which join at the eponymously named German town Donaueschingen, after which it is known as the Danube and flows eastwards for a distance...
, near the Austria
Austria

Austria , officially the Republic of Austria , is a landlocked country in Central Europe. It borders both Germany and the Czech Republic to the north, Slovakia and Hungary to the east, Slovenia and Italy to the south, and Switzerland and Liechtenstein to the west....
n capital, Vienna
Vienna

Vienna is the Capital of Republic of Austria and also one of the nine states of Austria. Vienna is Austria's primary city, with a population of about 1.7 million...
. There are suggestions that he had been murdered by the local miller for unknown reasons; one of Jurij's tools (compass) was found in the mill one year after his disappearance and it had "J V" initials on it.

Mathematical accomplishments

Vega published a series of books of logarithm
Logarithm

In mathematics, the logarithm of a number to a given base is the Power or exponent to which the base must be raised in order to produce the number....
 tables. The first one appeared in 1783. Much later, in 1797 it was followed by a second volume that contained a collection of integrals and other useful formulae. His Handbook, which was originally published in 1793, was later translated into several languages and appeared in over 100 issues. His major work was Zakladnica vseh logaritmov (Thesaurus Logarithmorum Completus
Thesaurus Logarithmorum Completus

Thesaurus Logarithmorum Completus, a large logarithm table handbook, was the main work of Slovenes mathematician Jurij Vega. It was first published in 1794 in Leipzig. Its 90th edition was published in 1924....
 or Treasury of all Logarithms) that was first published 1794 in Leipzig
Leipzig

Leipzig is, with a population of over 511,252, the largest city in the States of Germany of Saxony, Germany....
. An engineer, Franc Allmer, honourable senator of the Technical university of Graz
Graz

Graz , with a population of around 290,000 as of 2008 , is the List of cities and towns in Austria#List of cities and towns by population size in Austria after Vienna and the capital of the federal state of Styria ....
, has found Vega's logarithmic tables with 10 decimal
Decimal

The decimal numeral system has 10 as its Base . It is the most widely used numeral system....
 places in the Museum of Carl Friedrich Gauss in Göttingen
Göttingen

G?ttingen is a college town in Lower Saxony, Germany. It is the Capital of the district of G?ttingen . The Leine river runs through the town. In 2006 the population was 129,686....
. Gauss
Carl Friedrich Gauss

Johann Carl Friedrich Gauss. was a Germans mathematician and scientist who contributed significantly to many fields, including number theory, statistics, mathematical analysis, Differential geometry and topology, geodesy, electrostatics, astronomy and optics....
 used this work frequently and he has written in it several calculations. Gauss has also found some of Vega's errors in the calculations in the range of numbers, of which there are more than a million. A copy of Vega's Thesaurus belonging to the private collection of the British mathematician and computing pioneer Charles Babbage
Charles Babbage

Charles Babbage, Royal Society was an England mathematician, philosopher, inventor and mechanical engineer who originated the concept of a programmable computer....
 (1791-1871) is preserved at the Royal Observatory, Edinburgh
Royal Observatory, Edinburgh

The Royal Observatory, Edinburgh is an Astronomy institution located on Blackford Hill in Edinburgh, Scotland. The site is owned by the Science and Technology Facilities Council ....
.

Over the years Vega wrote a four volume textbook Vorlesungen über die Mathematik (Lectures about Mathematics). Volume I appeared in 1782 when he was 28 years old, Volume II in 1784, Volume III in 1788 and Volume IV in 1800. His textbooks also contain interesting tables: for instance, in Volume II one can find closed form expressions for sines of multiples of 3 degrees
Exact trigonometric constants

Exact constant expressions for trigonometric expressions are sometimes useful, mainly for simplifying solutions into Radical forms which allow further simplification....
, written in a form easy to work with.

Vega wrote at least six scientific papers. On August 20, 1789 Vega achieved a world record when he calculated pi
Pi

Pi or p is a mathematical constant whose value is the ratio of any circle's circumference to its diameter in Euclidean geometry; this is the same value as the ratio of a circle's area to the square of its radius....
 to 140 places, of which the first 126 were correct. This calculation he proposed to the Russian Academy of Sciences
Russian Academy of Sciences

The Russian Academy of Sciences consists of the national academy of Russia and a network of scientific research institutes from across the Russian Federation as well as auxiliary scientific and social units like libraries, publishers and hospitals....
 in Saint Petersburg
Saint Petersburg

Saint Petersburg is a types of inhabited localities in Russia and a federal subjects of Russia of Russia located on the Neva River at the head of the Gulf of Finland on the Baltic Sea....
 (????? ?????????) in the booklet V. razprava (The fifth discussion), where he had found with his calculating method an error on the 113th place from the estimation of Thomas Fantet de Lagny (1660–1734) from 1719 of 127 places. Vega retained his record 52 years until 1841 and his method is mentioned still today. His article was not published by the Academy until six years later, in 1795. Vega had improved John Machin
John Machin

John Machin, , a professor of astronomy at Gresham College, London, is best known for developing a quickly converging series for Pi in 1706 and using it to compute Pi to 100 decimal places....
's formula from 1706:

with his formula, which is equal to Euler's
Leonhard Euler

Leonhard Paul Euler was a pioneering Swiss mathematician and physicist who spent most of his life in Russia and Germany.Euler made important discoveries in fields as diverse as calculus and graph theory....
 formula from 1755:

and which converges faster than Machin's formula. He had checked his result with the similar Hutton's formula:

He had developed the second term in the series only once.

Although he worked in the subjects of ballistics, physics and astronomy
Astronomy

Astronomy is the science of Astronomical object and Phenomenon that originate outside the Earth's atmosphere . It is concerned with the evolution, physics, chemistry, meteorology, and motion of celestial objects, as well as the physical cosmology....
, his major contributions are to the mathematics of the second half of the 18th century.

In 1781 Vega tried to push further his idea in the Austrian Habsburg monarchy
Habsburg

The House of Habsburg was an important royal house of Europe and is best known as supplying all of the formally elected Holy Roman Emperors between 1452 and 1740, as well as rulers of Spanish Empire and the Austrian Empire....
 about the usage of the decimal metric system
Metric system

The metric system is an international decimalised systems of measurement, founded by France in 1791, that is the common system of Unit of measurement used by most of the world....
 of units. His idea was not accepted, but it was introduced later under the emperor Franz Josef I in 1871.

Jurij Vega was a member of the Academy of Practical Sciences in Mainz, the Physical and Mathematical Society of Erfurt
Erfurt

Erfurt is a city in central Germany. It is the Capital of the state of Thuringia with a population of 202,929 . Erfurt is located 100 km SW of Leipzig, 150 km N of N?rnberg and 180 km SE of Hannover....
, the Bohemian Scientific Society in Prague
Prague

Prague is the Capital and World's largest cities of the Czech Republic. Its official name is Hlavn? mesto Praha, meaning Prague, the Capital City....
, and the Prussian Academy of Sciences in Berlin
Berlin

Berlin is the Capital of Germany city and one of sixteen States of Germany of Germany. With a population of 3.4 million within its city limits, Berlin is the country's largest city....
. He was also an associate member of the British Scientific Society in Göttingen
Göttingen

G?ttingen is a college town in Lower Saxony, Germany. It is the Capital of the district of G?ttingen . The Leine river runs through the town. In 2006 the population was 129,686....
. He was awarded the Order of Maria Theresa
Maria Theresa of Austria

Maria Theresa was the List of rulers of Austria, List of rulers of Hungary, List of rulers of Croatia, Queen of Bohemia, Grand Duchy of Tuscany and a Holy Roman Emperor by marriage to Francis I, Holy Roman Emperor....
 on May 11, 1796. In 1800 Jurij Vega obtained a title of hereditary baron including the right to his own coat of arms.

Post of Slovenia has issued a stamp honouring Jurij Vega and the National Bank of Slovenia has issued a 50 tolar
Slovenian tolar

The tolar was the currency of Slovenia from 1991 until the introduction of the euro on December 31, 2006. It was subdivided into 100 stotinov....
 banknote in his honour.

An asteroid
Asteroid

Asteroids, sometimes called minor planets or planetoids, are small Solar System bodies in orbit around the Sun, smaller than planets but larger than meteoroids....
 14966 Jurijvega
14966 Jurijvega

14966 Jurijvega is a Main-belt Asteroid discovered on July 30, 1997 by Herman Miku? at Crni Vrh Observatory.Since May 9, 2001 it is named after Jurij Vega, a Slovene mathematician....
, discovered on July 30, 1997, is named after him.

See also


  • Logarithm
    Logarithm

    In mathematics, the logarithm of a number to a given base is the Power or exponent to which the base must be raised in order to produce the number....
  • Mathematical table
    Mathematical table

    Before calculators were cheap and plentiful, people would use mathematical tables —lists of numbers showing the results of calculation with varying arguments— to simplify and drastically speed up computation....
  • Ballistics
    Ballistics

    Ballistics is the science of mechanics that deals with the flight, behavior, and effects of projectiles, especially bullets, gravity bombs, rockets, or the like; the science or art of designing and accelerating projectiles so as to achieve a desired performance....
  • Vega (crater)
    Vega (crater)

    Vega is an eroded Moon Impact crater that is located in the southeastern part of the Moon. It lies on the near side and so can be viewed from the Earth....


External links

  • University of St Andrews
    University of St Andrews

    The University of St Andrews is the List of oldest universities in continuous operation university in Scotland and third oldest in the English-speaking world, having been founded between 1410 and 1413....
    ' page on Vega: http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Vega.html