Giovanni Fagnano Dei Toschi
   HOME
*





Giovanni Fagnano Dei Toschi
Giovanni Francesco Fagnano dei Toschi (born 31 January 1715 in Senigallia, died 14 May 1797 in Senigallia) was an Italian churchman and mathematician, the son of Giulio Carlo de' Toschi di Fagnano, also a mathematician. Religious career Fagnano was ordained as a priest. In 1752 he became canon, and in 1755 he was appointed archdeacon of the cathedral of Senigallia. Mathematics Fagnano is known for Fagnano's problem, the problem of inscribing a minimum- perimeter triangle within an acute triangle. As Fagnano showed, the solution is the orthic triangle, whose vertices are the points where the altitudes of the original triangle cross its sides. Another property of the orthic triangle, also proven by Fagnano, is that its angle bisectors are the altitudes of the original triangle. Fagnano also partially solved the problem of finding the geometric median of sets of four points in the Euclidean plane In mathematics, the Euclidean plane is a Euclidean space of dimension two. Th ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Senigallia
Senigallia (or Sinigaglia in Old Italian, Romagnol: ''S’nigaja'') is a ''comune'' and port town on Italy's Adriatic coast. It is situated in the province of Ancona in the Marche region and lies approximately 30 kilometers north-west of the provincial capital city Ancona. Senigallia's small port is located at the mouth of the river Misa. It is one of the endpoints of the Massa-Senigallia Line, one of the most important dividing lines (isoglosses) in the classification of the Romance languages. History Senigallia was first settled in the 4th century BC by the gallic tribe of the Senones who first settled this coastal area. In 284 BC, the settlement was taken over by Romans, who established the colony ''Sena Gallica'' there''. "''Sena''"'' is probably a corrupted form of "Senones" and "Gallica''"'' (meaning "Gaulish") distinguished it from ''Saena'' (Siena) in Etruria. In the prelude to the Battle of the Metaurus between Romans and Carthaginians in 207 BC, ''Sena Gallica'' was ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Euclidean Plane
In mathematics, the Euclidean plane is a Euclidean space of dimension two. That is, a geometric setting in which two real quantities are required to determine the position of each point ( element of the plane), which includes affine notions of parallel lines, and also metrical notions of distance, circles, and angle measurement. The set \mathbb^2 of pairs of real numbers (the real coordinate plane) augmented by appropriate structure often serves as the canonical example. History Books I through IV and VI of Euclid's Elements dealt with two-dimensional geometry, developing such notions as similarity of shapes, the Pythagorean theorem (Proposition 47), equality of angles and areas, parallelism, the sum of the angles in a triangle, and the three cases in which triangles are "equal" (have the same area), among many other topics. Later, the plane was described in a so-called '' Cartesian coordinate system'', a coordinate system that specifies each point uniquely in a plane by a ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

18th-century Italian Mathematicians
The 18th century lasted from January 1, 1701 ( MDCCI) to December 31, 1800 ( MDCCC). During the 18th century, elements of Enlightenment thinking culminated in the American, French, and Haitian Revolutions. During the century, slave trading and human trafficking expanded across the shores of the Atlantic, while declining in Russia, China, and Korea. Revolutions began to challenge the legitimacy of monarchical and aristocratic power structures, including the structures and beliefs that supported slavery. The Industrial Revolution began during mid-century, leading to radical changes in human society and the environment. Western historians have occasionally defined the 18th century otherwise for the purposes of their work. For example, the "short" 18th century may be defined as 1715–1789, denoting the period of time between the death of Louis XIV of France and the start of the French Revolution, with an emphasis on directly interconnected events. To historians who expan ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Italian Mathematicians
Italian(s) may refer to: * Anything of, from, or related to the people of Italy over the centuries ** Italians, an ethnic group or simply a citizen of the Italian Republic or Italian Kingdom ** Italian language, a Romance language *** Regional Italian, regional variants of the Italian language ** Languages of Italy, languages and dialects spoken in Italy ** Italian culture, cultural features of Italy ** Italian cuisine, traditional foods ** Folklore of Italy, the folklore and urban legends of Italy ** Mythology of Italy, traditional religion and beliefs Other uses * Italian dressing, a vinaigrette-type salad dressing or marinade * Italian or Italian-A, alternative names for the Ping-Pong virus, an extinct computer virus See also * * * Italia (other) * Italic (other) * Italo (other) * The Italian (other) * Italian people (other) Italian people may refer to: * in terms of ethnicity: all ethnic Italians, in and outside of Italy * in ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

1797 Deaths
Events January–March * January 3 – The Treaty of Tripoli, a peace treaty between the United States and Ottoman Tripolitania, is signed at Algiers (''see also'' 1796). * January 7 – The parliament of the Cisalpine Republic adopts the Italian green-white-red tricolour as the official flag (this is considered the birth of the flag of Italy). * January 13 – Action of 13 January 1797, part of the War of the First Coalition: Two British Royal Navy frigates, HMS ''Indefatigable'' and HMS ''Amazon'', drive the French 74-gun ship of the line '' Droits de l'Homme'' aground on the coast of Brittany, with over 900 deaths. * January 14 – War of the First Coalition – Battle of Rivoli: French forces under General Napoleon Bonaparte defeat an Austrian army of 28,000 men, under ''Feldzeugmeister'' József Alvinczi, near Rivoli (modern-day Italy), ending Austria's fourth and final attempt to relieve the fortress city of Mantua. * January 26 & ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  



MORE