Antonio Nardi
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Antonio Nardi
Antonio Nardi (1598-1648?) was a Tuscan man of letters known for his geometrical work with Galileo Galilei and his disciples, Michelangelo Ricci and Evangelista Torricelli. He is also the author of the ''Scene'' (sometimes referred to as the ''Scene Toscane'' or ''Accademiche''), a sprawling manuscript work that covers philosophy, physics, ethics, and literature in addition to mathematics. Biography The Early Years Very little is known of Nardi's early life. Indeed, until recently his date and place of baptism (November 8, 1598 at Santa Maria della Pieve in Arezzo) were uncertain. His parents, Lazzaro Nardi and Caterina Tondinelli, were of minor provincial nobility originating from Florence. Nardi received his degree in '' utroque iure'' at the University of Pisa in 1621. It was there that he likely came into contact with Galileans like Benedetto Castelli, who held a chair in mathematics at Pisa and was a longtime friend and supporter of Galileo. The Rome Years In the 1630s, Nar ...
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Tuscany
Tuscany ( ; it, Toscana ) is a Regions of Italy, region in central Italy with an area of about and a population of about 3.8 million inhabitants. The regional capital is Florence (''Firenze''). Tuscany is known for its landscapes, history, artistic legacy, and its influence on high culture. It is regarded as the birthplace of the Italian Renaissance and of the foundations of the Italian language. The prestige established by the Tuscan dialect's use in literature by Dante Alighieri, Petrarch, Giovanni Boccaccio, Niccolò Machiavelli and Francesco Guicciardini led to its subsequent elaboration as the language of culture throughout Italy. It has been home to many figures influential in the history of art and science, and contains well-known museums such as the Uffizi and the Palazzo Pitti. Tuscany is also known for its wines, including Chianti, Vino Nobile di Montepulciano, Morellino di Scansano, Brunello di Montalcino and white Vernaccia di San Gimignano. Having a strong linguisti ...
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Raffaello Magiotti
Raffaello Magiotti (1597–1656) was an Italian astronomer, mathematician and physicist. Born at Montevarchi, he studied at Florence, and, having taken his vows, moved to Rome, following Cardinal Sacchetti. In 1636, he began to work at the Vatican Library. A pupil of Castelli in Rome, in 1638 he was Castelli's tip to Galileo as the candidate for the chair of Mathematics at Pisa. Well at home in the scientific community in the Papal city, Magiotti actively participated in Roman scientific debates, on which he provided detailed information to Galileo, with whom he was often in touch. During his life, Magiotti published only one work, entitled Renitenza dell’acqua alla compressione (Water's Resistance to Compression), which came out in 1648. The text was the first report of the practical resistance to compression - which Magiotti mistakenly claimed to be absolute - of water at constant temperature, as well as the expansion and contraction of fluid media (water and air) subjected t ...
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Tuscan Dialect
Tuscan ( it, dialetto toscano ; it, vernacolo, label=locally) is a set of Italo-Dalmatian varieties of Romance mainly spoken in Tuscany, Italy. Standard Italian is based on Tuscan, specifically on its Florentine dialect, and it became the language of culture throughout Italy due to the prestige of the works by Dante Alighieri, Petrarch, Giovanni Boccaccio, Niccolò Machiavelli, and Francesco Guicciardini. It would later become the official language of all the Italian states and of the Kingdom of Italy when it was formed. Subdialects In ''De vulgari eloquentia'' ( 1300), Dante Alighieri distinguishes four main subdialects: ''fiorentino'' (Florence), ''senese'' (Siena), ''lucchese'' (Lucca) and ''aretino'' (Arezzo). Tuscan is a dialect complex composed of many local variants, with minor differences among them. The main subdivisions are between Northern Tuscan dialects, the Southern Tuscan dialects, and Corsican. The Northern Tuscan dialects are (from east to west): * Fioren ...
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Philology
Philology () is the study of language in oral and writing, written historical sources; it is the intersection of textual criticism, literary criticism, history, and linguistics (with especially strong ties to etymology). Philology is also defined as the study of literary texts as well as oral and written records, the establishment of their authenticity and their original form, and the determination of their meaning. A person who pursues this kind of study is known as a philologist. In older usage, especially British, philology is more general, covering comparative linguistics, comparative and historical linguistics. Classical philology studies classical languages. Classical philology principally originated from the Library of Pergamum and the Library of Alexandria around the fourth century BC, continued by Greeks and Romans throughout the Roman Empire, Roman/Byzantine Empire. It was eventually resumed by European scholars of the Renaissance humanism, Renaissance, where it was s ...
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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 the supernatural, but also deals with religious epistemology, asks and seeks to answer the question of revelation. Revelation pertains to the acceptance of God, gods, or deities, as not only transcendent or above the natural world, but also willing and able to interact with the natural world and, in particular, to reveal themselves to humankind. While theology has turned into a secular field , religious adherents still consider theology to be a discipline that helps them live and understand concepts such as life and love and that helps them lead lives of obedience to the deities they follow or worship. Theologians use various forms of analysis and argument ( experiential, philosophical, ethnographic, historical, and others) to help understa ...
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Geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a ''geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied ''intrinsically'', that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geometries ...
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Typhus
Typhus, also known as typhus fever, is a group of infectious diseases that include epidemic typhus, scrub typhus, and murine typhus. Common symptoms include fever, headache, and a rash. Typically these begin one to two weeks after exposure. The diseases are caused by specific types of bacterial infection. Epidemic typhus is due to ''Rickettsia prowazekii'' spread by body lice, scrub typhus is due to ''Orientia tsutsugamushi'' spread by chiggers, and murine typhus is due to ''Rickettsia typhi'' spread by fleas. Vaccines have been developed, but none are commercially available. Prevention is achieved by reducing exposure to the organisms that spread the disease. Treatment is with the antibiotic doxycycline. Epidemic typhus generally occurs in outbreaks when poor sanitary conditions and crowding are present. While once common, it is now rare. Scrub typhus occurs in Southeast Asia, Japan, and northern Australia. Murine typhus occurs in tropical and subtropical areas of the worl ...
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National Central Library (Florence)
The National Central Library of Florence ( it, Biblioteca Nazionale Centrale di Firenze, BNCF) is a public national library in Florence, the largest in Italy and one of the most important in Europe, one of the two central libraries of Italy, along with the Biblioteca Nazionale Centrale di Roma. History The library was founded in 1714 when scholar Antonio Magliabechi bequeathed his entire collection of books, encompassing approximately 30,000 volumes, to the city of Florence. By 1743, it was required that a copy of every work published in Tuscany be submitted to the library. Originally known as the Magliabechiana, the library was opened to the public in 1747. Its holdings were combined with those of the in 1861, and by 1885, the library had been renamed as the National Central Library of Florence, or the BNCF. Since 1870, the library has collected copies of all Italian publications. Since 1935, the collections have been housed in a building designed by Cesare Bazzani and V. Maz ...
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Marin Mersenne
Marin Mersenne, OM (also known as Marinus Mersennus or ''le Père'' Mersenne; ; 8 September 1588 – 1 September 1648) was a French polymath whose works touched a wide variety of fields. He is perhaps best known today among mathematicians for Mersenne prime numbers, those which can be written in the form for some integer . He also developed Mersenne's laws, which describe the harmonics of a vibrating string (such as may be found on guitars and pianos), and his seminal work on music theory, ''Harmonie universelle'', for which he is referred to as the "father of acoustics". Mersenne, an ordained Catholic priest, had many contacts in the scientific world and has been called "the center of the world of science and mathematics during the first half of the 1600s" and, because of his ability to make connections between people and ideas, "the post-box of Europe". He was also a member of the Minim religious order and wrote and lectured on theology and philosophy. Life Mersenne was ...
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Bonaventura Cavalieri
Bonaventura Francesco Cavalieri ( la, Bonaventura Cavalerius; 1598 – 30 November 1647) was an Italian mathematician and a Jesuate. He is known for his work on the problems of optics and motion, work on indivisibles, the precursors of infinitesimal calculus, and the introduction of logarithms to Italy. Cavalieri's principle in geometry partially anticipated integral calculus. Life Born in Milan, Cavalieri joined the Jesuates order (not to be confused with the Jesuits) at the age of fifteen, taking the name Bonaventura upon becoming a novice of the order, and remained a member until his death. He took his vows as a full member of the order in 1615, at the age of seventeen, and shortly after joined the Jesuat house in Pisa. By 1616 he was a student of geometry at the University of Pisa. There he came under the tutelage of Benedetto Castelli, who probably introduced him to Galileo Galilei. In 1617 he briefly joined the Medici court in Florence, under the patronage of Cardi ...
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Method Of Indivisibles
In geometry, Cavalieri's principle, a modern implementation of the method of indivisibles, named after Bonaventura Cavalieri, is as follows: * 2-dimensional case: Suppose two regions in a plane are included between two parallel lines in that plane. If every line parallel to these two lines intersects both regions in line segments of equal length, then the two regions have equal areas. * 3-dimensional case: Suppose two regions in three-space (solids) are included between two parallel planes. If every plane parallel to these two planes intersects both regions in cross-sections of equal area, then the two regions have equal volumes. Today Cavalieri's principle is seen as an early step towards integral calculus, and while it is used in some forms, such as its generalization in Fubini's theorem, results using Cavalieri's principle can often be shown more directly via integration. In the other direction, Cavalieri's principle grew out of the ancient Greek method of exhaustion, which ...
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Archimedes
Archimedes of Syracuse (;; ) was a Greek mathematician, physicist, engineer, astronomer, and inventor from the ancient city of Syracuse in Sicily. Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. Considered the greatest mathematician of ancient history, and one of the greatest of all time,* * * * * * * * * * Archimedes anticipated modern calculus and analysis by applying the concept of the infinitely small and the method of exhaustion to derive and rigorously prove a range of geometrical theorems. These include the area of a circle, the surface area and volume of a sphere, the area of an ellipse, the area under a parabola, the volume of a segment of a paraboloid of revolution, the volume of a segment of a hyperboloid of revolution, and the area of a spiral. Heath, Thomas L. 1897. ''Works of Archimedes''. Archimedes' other mathematical achievements include deriving an approximation of pi, defining and in ...
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