Evangelista Torricelli
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Evangelista Torricelli
Evangelista Torricelli ( , also , ; 15 October 160825 October 1647) was an Italian physicist and mathematician, and a student of Galileo. He is best known for his invention of the barometer, but is also known for his advances in optics and work on the method of indivisibles. The Torr is also named after him. Biography Early life Torricelli was born on 15 October 1608 in Rome, the firstborn child of Gaspare Torricelli and Caterina Angetti. His family was from Faenza in the Province of Ravenna, then part of the Papal States. His father was a textile worker and the family was very poor. Seeing his talents, his parents sent him to be educated in Faenza, under the care of his uncle, Giacomo (James), a Camaldolese monk, who first ensured that his nephew was given a sound basic education. He then entered young Torricelli into a Jesuit College in 1624, possibly the one in Faenza itself, to study mathematics and philosophy until 1626, by which time his father, Gaspare, had died. The uncl ...
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Lorenzo Lippi
Lorenzo Lippi (3 May 1606 – 15 April 1665) was an Italian painter and poet. Biography Born in Florence, he studied painting under Matteo Rosselli. Both Baldassare Franceschini and Francesco Furini were also apprenticed with Rosselli, the influence of whose style, and more especially of that of Santi di Tito, is to be traced in Lippi's works, which are marked by taste, delicacy and a strong turn for portrait-like naturalism. His maxim was to poetize as he spoke, and to paint as he saw. His biography was recounted by Filippo Baldinucci. After painting for some time in Florence, and having married at the age of forty the daughter of the rich sculptor named Giovanni Francesco Susini, Lippi went as court painter to Innsbruck, where he has left many excellent portraits. In Innsbruck, he wrote his humorous poem named ''Malmantile Racquistato'', which was published under the anagrammatic pseudonym of Perlone Zipoli. The ''Malmantile Racquistato'' is a mock-heroic romance, mo ...
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Gabriel's Horn
Gabriel's horn (also called Torricelli's trumpet) is a particular geometric figure that has infinite surface area but finite volume. The name refers to the Christian tradition where the archangel Gabriel blows the horn to announce Judgment Day. The properties of this figure were first studied by Italian physicist and mathematician Evangelista Torricelli in the 17th century. These colourful informal names and the allusion to religion came along later. Torricelli's own name for it is to be found in the Latin title of his paper , written in 1643, a truncated acute hyperbolic solid, cut by a plane. Volume 1, part 1 of his published the following year included that paper and a second more orthodox (for the time) Archimedean proof of its theorem about the volume of a truncated acute hyperbolic solid. This name was used in mathematical dictionaries of the 18th century (including "Hyperbolicum Acutum" in Harris' 1704 dictionary and in Stone's 1726 one, and the Fr ...
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Province Of Ravenna
The province of Ravenna ( it, provincia di Ravenna; ) is a province in the Emilia-Romagna region of Italy. Its capital is the city of Ravenna. As of 2015, it has a population of 391,997 inhabitants over an area of , giving it a population density of 210.81 inhabitants per square kilometre. Its provincial president is Claudio Casadio. History Ravenna was first inhabited by Italic tribes from northern regions, and was conquered in 191 BCE by the Roman Republic. A port was constructed near Classe, and the Adriatic fleet was based in Ravenna. In 402 CE, Ravenna became the capital of the Western Roman Empire, which endured until the collapse of the empire and the fall of Rome in 476. Following this, the Barbarian Kings Odoacer and then Theodoric controlled Ravenna until it was conquered by the Byzantine Empire in 540; the Byzantines announced it to be their Exarchate. It continued to be under Byzantine rule until it was invaded by the Lombards in 751, and it was then annexed by King o ...
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Faenza
Faenza (, , ; rgn, Fènza or ; la, Faventia) is an Italian city and comune of 59,063 inhabitants in the province of Ravenna, Emilia-Romagna, situated southeast of Bologna. Faenza is home to a historical manufacture of majolica-ware glazed earthenware pottery, known from the French name of the town as ''faience''. Geography Faenza, at the foot of the first sub-apennine hills, is surrounded by an agricultural region including vineyards in the hills, and cultivated land with traces of the ancient Roman land-division system, and fertile market gardens in the plains. In the nearby green valleys of the rivers Samoggia and Lamone there are great number of 18th and 19th century stately homes, set in extensive grounds or preceded by long cypress-lined driveways. History According to mythology, the name of the first settlement, ''Faoentia'', had Etruscan and Celtic roots, meaning in Latin "Splendeo inter deos" or "I shine among the gods," in modern English. The very name, coming from t ...
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Torr
The torr (symbol: Torr) is a unit of pressure based on an absolute scale, defined as exactly of a standard atmosphere (). Thus one torr is exactly (≈ ). Historically, one torr was intended to be the same as one "millimeter of mercury", but subsequent redefinitions of the two units made them slightly different (by less than ). The torr is not part of the International System of Units (SI). It is often combined with the metric prefix milli to name one millitorr (mTorr) or 0.001 Torr. The unit was named after Evangelista Torricelli, an Italian physicist and mathematician who discovered the principle of the barometer in 1644. Nomenclature and common errors The unit name ''torr'' is written in lower case, while its symbol ("Torr") is always written with upper-case initial; including in combinations with prefixes and other unit symbols, as in "mTorr" (millitorr) or "Torr⋅L/s" (torr-litres per second). The symbol (uppercase) should be used with prefix symbols (thus, ...
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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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