Adam Adamandy Kochański (5 August 1631 – 17 May 1700) was a Polish

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 ...

, physicist, clock-maker,

pedagogue Pedagogy (), most commonly understood as the approach to teaching, is the theory and practice of learning, and how this process influences, and is influenced by, the social, political, and psychological development of learners. Pedagogy, taken ...

and librarian. He was the Court Mathematician of

John III Sobieski John III Sobieski ( (); (); () 17 August 1629 – 17 June 1696) was King of Poland and Grand Duke of Lithuania from 1674 until his death in 1696. Born into Polish nobility, Sobieski was educated at the Jagiellonian University and toured Eur ...

. Kochański was born in Dobrzyń nad Wisłą. He began his education in

Toruń Toruń is a city on the Vistula River in north-central Poland and a World Heritage Sites of Poland, UNESCO World Heritage Site. Its population was 196,935 as of December 2021. Previously, it was the capital of the Toruń Voivodeship (1975–199 ...

, and in 1652 he entered the

Society of Jesus The Society of Jesus (; abbreviation: S.J. or SJ), also known as the Jesuit Order or the Jesuits ( ; ), is a religious order of clerics regular of pontifical right for men in the Catholic Church headquartered in Rome. It was founded in 1540 ...

Vilnius Vilnius ( , ) is the capital of and List of cities in Lithuania#Cities, largest city in Lithuania and the List of cities in the Baltic states by population, most-populous city in the Baltic states. The city's estimated January 2025 population w ...

. He studied

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 ...

at Vilnius University (then called ''Vilnius Academy''). He also 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 ...

physics Physics is the scientific study of matter, its Elementary particle, fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge whi ...

and

theology Theology is the study of religious belief from a Religion, religious perspective, with a focus on the nature of divinity. It is taught as an Discipline (academia), academic discipline, typically in universities and seminaries. It occupies itse ...

. He went on to lecture on those subjects at several European universities: in

Florence Florence ( ; ) is the capital city of the Italy, Italian region of Tuscany. It is also the most populated city in Tuscany, with 362,353 inhabitants, and 989,460 in Metropolitan City of Florence, its metropolitan province as of 2025. Florence ...

Prague Prague ( ; ) is the capital and List of cities and towns in the Czech Republic, largest city of the Czech Republic and the historical capital of Bohemia. Prague, located on the Vltava River, has a population of about 1.4 million, while its P ...

Olomouc Olomouc (; ) is a city in the Czech Republic. It has about 103,000 inhabitants, making it the Statutory city (Czech Republic), sixth largest city in the country. It is the administrative centre of the Olomouc Region. Located on the Morava (rive ...

Wrocław Wrocław is a city in southwestern Poland, and the capital of the Lower Silesian Voivodeship. It is the largest city and historical capital of the region of Silesia. It lies on the banks of the Oder River in the Silesian Lowlands of Central Eu ...

Mainz Mainz (; #Names and etymology, see below) is the capital and largest city of the German state of Rhineland-Palatinate, and with around 223,000 inhabitants, it is List of cities in Germany by population, Germany's 35th-largest city. It lies in ...

and

Würzburg Würzburg (; Main-Franconian: ) is, after Nuremberg and Fürth, the Franconia#Towns and cities, third-largest city in Franconia located in the north of Bavaria. Würzburg is the administrative seat of the Regierungsbezirk Lower Franconia. It sp ...

. In 1680 he accepted an offer from John III Sobieski, the king of Poland, returning to Poland and taking the position of the king's chaplain, mathematician, clock maker, librarian, and tutor of the king's son, Jakub. He wrote many scientific papers, mainly on mathematics and mechanics, but also on physics, astronomy and philosophy. The best known of his works, ''Observationes Cyclometricae ad facilitandam Praxin accommodatae'', is devoted to the

squaring the circle Squaring the circle is a problem in geometry first proposed in Greek mathematics. It is the challenge of constructing a square (geometry), square with the area of a circle, area of a given circle by using only a finite number of steps with a ...

(or alternatively, ''the quadrature of the circle'') and was published in 1685 in the leading scientific periodical of the time, ''

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 ...

''. He also found a famous approximation of π today called Kochański's approximation: :

\sqrt = 3.14153333870509461863 \dots

Kochański cooperated and corresponded with many scientists, Johannes Hevelius and

Gottfried 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 Isaac Newton, Sir Isaac Newton, with the creation of calculus in ad ...

among them. He was apparently the only one of the contemporary Poles to know elements of the newly invented

calculus Calculus is the mathematics, mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the ...

. As a mechanic he was a renowned clock maker. He suggested replacing the clock's pendulum with a spring, and standardizing the number of

escapement An escapement is a mechanical linkage in mechanical watches and clocks that gives impulses to the timekeeping element and periodically releases the gear train to move forward, advancing the clock's hands. The impulse action transfers energy to t ...

s per hour. He died in

Teplice Teplice (, until 1948 Teplice-Šanov; , ''Teplitz-Schönau'') is a city in the Ústí nad Labem Region of the Czech Republic. It has about 51,000 inhabitants. It is the most populous Czech spa town, followed by Karlovy Vary. The historic city cen ...

Bohemia Bohemia ( ; ; ) is the westernmost and largest historical region of the Czech Republic. In a narrow, geographic sense, it roughly encompasses the territories of present-day Czechia that fall within the Elbe River's drainage basin, but historic ...

References

* * {{DEFAULTSORT:Kochanski, Adam Adamandy 1631 births 1700 deaths 17th-century Polish Jesuits 17th-century Polish mathematicians Squaring the circle Polish expatriates in Germany People from the Kingdom of Bohemia Polish expatriates People from Lipno County Vilnius University alumni Jesuit scientists Academic staff of Palacký University Olomouc 17th-century Polish philosophers