Vincenzo Riccati (

Castelfranco Veneto Castelfranco Veneto ( vec, Casteło) is a town and '' comune'' of Veneto, northern Italy, in the province of Treviso, by rail from the town of Treviso. It is approximately inland from Venice. History The town originates from a castle built he ...

, 11 January 1707 –

Treviso Treviso ( , ; vec, Trevixo) is a city and '' comune'' in the Veneto region of northern Italy. It is the capital of the province of Treviso and the municipality has 84,669 inhabitants (as of September 2017). Some 3,000 live within the Vene ...

, 17 January 1775) was a

Venetian Venetian often means from or related to: * Venice, a city in Italy * Veneto, a region of Italy * Republic of Venice (697–1797), a historical nation in that area Venetian and the like may also refer to: * Venetian language, a Romance language s ...

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 On ...

and

physicist A physicist is a scientist who specializes in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe. Physicists generally are interested in the root or ultimate cau ...

Life

Vincenzo Riccati was the brother of

Giordano Riccati Giordano Riccati or Jordan Riccati (25 February 1709 – 20 July 1790) was the first experimental mechanician to study material elastic moduli as we understand them today. His 1782 paper on determining the relative Young's moduli of steel and br ...

, and the second son of

Jacopo Riccati Jacopo Francesco Riccati (28 May 1676 – 15 April 1754) was a Venetian mathematician and jurist from Venice. He is best known for having studied the equation which bears his name. Education Riccati was educated first at the Jesuit school for t ...

. He entered the

Society of Jesus , image = Ihs-logo.svg , image_size = 175px , caption = ChristogramOfficial seal of the Jesuits , abbreviation = SJ , nickname = Jesuits , formation = , founders ...

on December 20, 1726. He taught ''

belles lettres is a category of writing, originally meaning beautiful or fine writing. In the modern narrow sense, it is a label for literary works that do not fall into the major categories such as fiction, poetry, or drama. The phrase is sometimes used pejora ...

'' in the colleges of the Order in

Piacenza Piacenza (; egl, label= Piacentino, Piaṡëinsa ; ) is a city and in the Emilia-Romagna region of northern Italy, and the capital of the eponymous province. As of 2022, Piacenza is the ninth largest city in the region by population, with over ...

(1728),

Padua Padua ( ; it, Padova ; vec, Pàdova) is a city and ''comune'' in Veneto, northern Italy. Padua is on the river Bacchiglione, west of Venice. It is the capital of the province of Padua. It is also the economic and communications hub of the ...

(1729), and

Parma Parma (; egl, Pärma, ) is a city in the northern Italian region of Emilia-Romagna known for its architecture, music, art, prosciutto (ham), cheese and surrounding countryside. With a population of 198,292 inhabitants, Parma is the second m ...

(1734). He then went to

Rome , established_title = Founded , established_date = 753 BC , founder = King Romulus ( legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...

to study

theology Theology is the systematic study of the nature of the divine and, more broadly, of religious belief. It is taught as an academic discipline, typically in universities and seminaries. It occupies itself with the unique content of analyzing th ...

. In 1739 he was assigned to the Collegio di San Francesco Saverio of

Bologna Bologna (, , ; egl, label= Emilian, Bulåggna ; lat, Bononia) is the capital and largest city of the Emilia-Romagna region in Northern Italy. It is the seventh most populous city in Italy with about 400,000 inhabitants and 150 different na ...

, where he taught

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 ...

for thirty years. He was among the first members of the Italian

National Academy of Sciences The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the Nat ...

. Riccati's main research continued the work of his father in

mathematical analysis Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions. These theories are usually studied ...

, especially in the fields of the

differential equations 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, an ...

and

physics Physics is the natural science that studies matter, its 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 which ...

. In 1757 he published the first volume of ''Opusculorum ad res physicas et mathematicas pertinentium'' introducing

hyperbolic function In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points form a circle with a unit radius, the points form the right half of the u ...

s, the second volume appearing in 1762. In collaboration with Hieronymo Saldino he contributed to ''Institutiones Analyticae'', volume one in 1765, volume two in 1767.Vincenzo Riccati & Hieronymo Saladino (1767
Institutiones Analyticae, Tomus Secundus
link from

Google Books Google Books (previously known as Google Book Search, Google Print, and by its code-name Project Ocean) is a service from Google Inc. that searches the full text of books and magazines that Google has scanned, converted to text using optical ...

Riccati - De usu motus tractorii in constructione aequationum differentialium, 1752 - 1373559

Works

* * * * * * * * ''Dialogo, dove ne' congressi di più giornate delle forze vive e dell'azioni delle forze morte si tien discorso'',

, 1749

References

* Danilo Capecchi (2012). ''History of Virtual Work Laws: A History of Mechanics Prospective''. Springer. .

External links

* * 1707 births 1775 deaths People from Castelfranco Veneto 18th-century Italian mathematicians Catholic clergy scientists Honorary members of the Saint Petersburg Academy of Sciences Jesuit scientists {{Italy-mathematician-stub

Life

Works

See also

References

External links