Giulio Carlo, Count Fagnano, and Marquis de Toschi, (December 6, 1682 Sinigaglia - September 26, 1766) was an Italian mathematician. He was probably the first to direct attention to the theory of elliptic functions. December 6 is the 340th day (341st on leap years) of the year in the Gregorian calendar. ... Events March 11 – Chelsea hospital for soldiers is founded in England May 6 - Louis XIV of France moves his court to Versailles. ... Senigallia (or Sinigaglia, probably from a later Roman corruption of a name referring to the tribe of the Senones) is a comune and port town on Italys Adriatic coast, in Ancona Province (43°43′ N 13°13′ E). ... September 26 is the 269th day of the year (270th in leap years) in the Gregorian Calendar, with 96 days remaining. ... 1766 was a common year starting on Wednesday (see link for calendar). ... This article is in need of attention from an expert on the subject. ... In complex analysis, an elliptic function is, roughly speaking , a function defined on the complex plane which is periodic in two directions. ...

Work

He is best known for investigations on the length and division of arcs of certain curves, especially the lemniscate; this seems also to have been in his own estimation his most important work, since he had the figure of the lemniscate with the inscription: "Multifariam divisa atque dimensa Deo veritatis gloria", engraved on the title-page of his Produzioni Matematiche, which he published in two volumes (Pesaro, 1750), and dedicated to Pope Benedict XIV. The same figure and words "Deo veritatis gloria" also appear on his tomb A lemniscate In mathematics, a lemniscate is a type of curve described by a Cartesian equation of the form: Graphing this equation produces a curve similar to . ... Benedict XIV, born Prospero Lorenzo Lambertini (Bologna, March 31, 1675 – Rome, May 3, 1758), was Pope from 1740 to 1758. ...

Failing to rectify the ellipse or hyperbola, Fagnano attempted to determine arcs whose difference should be rectifiable. He also pointed out the remarkable analogy existing between the integrals which represent the arc of a circle and the arc of a lemniscate. Finally he proved the formula The ellipse and some of its mathematical properties. ... A graph of a hyperbola, where h = k = 0 and a = b = 2. ... The term Arc is derived from the Latin word arcus meaning bow. Look up arc in Wiktionary, the free dictionary. ... In calculus, the integral of a function is a generalization of area, mass, volume, sum, and total. ... A circle, in Euclidean geometry, is the set of all points at a fixed distance, called the radius, from a fixed point, the centre. ... A lemniscate In mathematics, a lemniscate is a type of curve described by a Cartesian equation of the form: Graphing this equation produces a curve similar to . ...

where i stands for .

His works were collected and published in two volumes at Pesaro in 1750. Pesaro (in Antiquity, Pisaurum) is a town and comune in the Italian region of the Marche, capital of the Pesaro e Urbino province, 43°55N 12°55E; on the Adriatic, at sea-level. ... Events March 2 - Small earthquake in London, England April 4 - Small earthquake in Warrington, England August 23 - Small earthquake in Spalding, England September 30 - Small earthquake in Northampton, England November 16 – Westminster Bridge officially opened Jonas Hanway is the first Englishman to use an umbrella James Gray reveals her sex...

Some mathematicians objected to his methods of analysis founded on the infinitesimal calculus. The most prominent of these were Viviani, De la Hire, and Rolle. Infinitesimal calculus is an area of mathematics pioneered by Gottfried Leibniz based on the concept of infinitesimals, as opposed to the calculus of Isaac Newton, which is based upon the concept of the limit. ... Vinceno Viviani (April 5, 1622 - September 22, 1703) was a pupil of Torricelli and a disciple of Galileo. ... Rolle is a small town in the Vaud canton of Switzerland, situated near Geneva, Switzerland. ...

Life

He made his higher studies at the Collegio Clementino in Rome and there won great distinction, exception in the one subject which has made him famous. His aversion to mathematics was extreme, and it was only after his college course that he took up its study. Then, without the help of any teacher, he mastered it from its foundations. Most of his important researches were published in the current numbers of the Giornale de' Letterati d'Italia. The Collegio Clementino, sited between the Strada delOrso and the banks of the Tiber in Rome, was founded by Pope Clement VIII in 1595, to to host Slavonian refugees, but it was a stylish venue from the outset. ... City motto: Senatus Populusque Romanus – SPQR (The Senate and the People of Rome) Founded 21 April 753 BC mythical, 1st millennium BC Region Latium Mayor Walter Veltroni (Left-Wing Democrats) Area  - City Proper  1285 km² Population  - City (2004)  - Metropolitan  - Density (city proper) 2,553,873 almost 4,300,000 1. ... Euclid, detail from The School of Athens by Raphael. ...

Practical piety characterized his life; his attachment to his religion was warm and sincere, and of his twelve children one became archdeacon of the cathedral of Sinigaglia and another a Benedictine nun. An archdeacon is a senior position in some Christian churches, above that of most clergy and below a bishop. ... A Benedictine is a person who follows the Rule of St Benedict. ...

As a writer he is praised by his contemporaries for his mildness in controversy, as well as for his clearness and accuracy of thought and diction.

An original entry was based on the Rouse History of Mathematics

This article incorporates text from the public domain Catholic Encyclopedia. See also: wikipedia:history One of Wikipedias public domain resources! There are a series of articles transcribed by Dr. David R. Wilkins (dwilkins@maths. ... The public domain comprises the body of all creative works and other knowledge—writing, artwork, music, science, inventions, and others—in which no person or organization has any proprietary interest. ... The Catholic Encyclopedia (also referred to as the Old Catholic Encyclopedia today) is an English-language encyclopedia published in 1913 by the The Encyclopedia Press, designed to give authoritative information on the entire cycle of Catholic interests, action and doctrine. // History The writing of the encyclopedia began on January 11...