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Viviani Theorem
Viviani is a surname. Notable people with the surname include: * Anselmo Viviani (born 1915), Italian cross-country skier * Antonio Viviani (1560–1620), painter * Attilio Viviani (born 1996), Italian cyclist * Elia Viviani (born 1989), cyclist * Fabio Viviani (chef) (born 1978) * Fabio Viviani (footballer) (born 1966) * Federico Viviani (footballer born 1981) * Federico Viviani (footballer born 1992) * Guillermo Viviani (1893–1964), Chilean Roman Catholic priest and trade unionist * Giovanni Buonaventura Viviani (1638–1693), composer and violinist * Jody Viviani (born 1982), footballer * Luigi Viviani (other), multiple people * Ottavio Viviani (c. 1579–c. 1641), painter * Raffaele Viviani (1888–1950), author, playwright, and actor * René Viviani (1863–1925), French politician and prime minister * Vincenzo Viviani (1622–1703), mathematician and scientist * Tanios Viviani (born 1961), entrepreneur See also * Square René Viviani * Stadio Alfredo Viviani * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Viviani's Theorem
Viviani's theorem, named after Vincenzo Viviani, states that the sum of the distances from ''any'' interior point to the sides of an equilateral triangle equals the length of the triangle's altitude. It is a theorem commonly employed in various math competitions, secondary school mathematics examinations, and has wide applicability to many problems in the real world. Proof This proof depends on the readily-proved proposition that the area of a triangle is half its base times its height—that is, half the product of one side with the altitude from that side.Claudi Alsina, Roger B. Nelsen: ''Charming Proofs: A Journey Into Elegant Mathematics''. MAA 2010, , p. 96 () Let ABC be an equilateral triangle whose height is ''h'' and whose side is ''a''. Let P be any point inside the triangle, and ''u, s, t'' the distances of P from the sides. Draw a line from P to each of A, B, and C, forming three triangles PAB, PBC, and PCA. Now, the areas of these triangles are \frac, \frac, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ottavio Viviani
Ottavio Viviani (c. 1579-c. 1641) was an Italian painter of the Baroque period. Viviani was born in Brescia. He was initially a pupil of Tommaso Sandrino. He painted for the royal palace of Monaco and in the Ducal palace of Sassuolo. He specialized in quadratura Illusionistic ceiling painting, which includes the techniques of perspective ''di sotto in sù'' and ''quadratura'', is the tradition in Renaissance, Baroque and Rococo art in which ''trompe-l'œil'', perspective tools such as foreshortening, an .... References * 16th-century Italian painters Italian male painters 17th-century Italian painters Painters from Brescia Italian Baroque painters Quadratura painters Year of birth uncertain Year of death unknown {{Italy-painter-16thC-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Viviani's Curve
In mathematics, Viviani's curve, also known as Viviani's window, is a figure eight shaped space curve named after the Italian mathematician Vincenzo Viviani. It is the intersection of a sphere with a cylinder that is tangent to the sphere and passes through two poles (a diameter) of the sphere (see diagram). Before Viviani this curve was studied by Simon de La Loubère and Gilles de Roberval. The orthographic projection of Viviani's curve onto a plane perpendicular to the line through the crossing point and the sphere center is the lemniscate of Gerono, while the stereographic projection is a hyperbola or the lemniscate of Bernoulli, depending on which point on the same line is used to project. . In 1692 Viviani solved the following task: Cut out of a half sphere (radius r) two windows, such that the remaining surface (of the half sphere) can be ''squared'', i.e. a square with the same area can be constructed using only compasses and ruler. His solution has an area of 4r^2 (se ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Viviani (crater)
Viviani is a small lunar impact crater that lies on the far side of the Moon. It was named after Italian mathematician and physicist Vincenzo Viviani. It is located due west of the prominent crater King King is the title given to a male monarch in a variety of contexts. The female equivalent is queen, which title is also given to the consort of a king. *In the context of prehistory, antiquity and contemporary indigenous peoples, the tit ..., and just to the southeast of Katchalsky. This is a roughly circular, bowl-shaped crater with a well-defined rim edge and an inner wall that is wider along the southeastern half. A small crater has cut into the southern rim edge, and another small crater is attached to the exterior along the east. The inner walls are simple slopes that run down to the relatively level and featureless floor. Satellite craters By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stadio Alfredo Viviani
Stadio Alfredo Viviani is a multi-use stadium in Potenza, Italy. It is currently used mostly for football matches and is the home ground of Potenza Calcio Potenza Calcio S.r.l., formerly A.S.D. Rossoblù Potenza F.C. or just Potenza F.C., is an Italian football club based in Potenza, Basilicata. It currently plays in the Serie C. Potenza Calcio was founded in June 2012 as F.C.D. Rossoblu Pot .... The stadium holds 6,000 people. Notable events Alfredo Viviani Potenza SC Potenza Calcio Sports venues in Basilicata Buildings and structures in the Province of Potenza {{Italy-sports-venue-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Square René Viviani
In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90- degree angles, π/2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length adjacent sides. It is the only regular polygon whose internal angle, central angle, and external angle are all equal (90°), and whose diagonals are all equal in length. A square with vertices ''ABCD'' would be denoted . Characterizations A convex quadrilateral is a square if and only if it is any one of the following: * A rectangle with two adjacent equal sides * A rhombus with a right vertex angle * A rhombus with all angles equal * A parallelogram with one right vertex angle and two adjacent equal sides * A quadrilateral with four equal sides and four right angles * A quadrilateral where the diagonals are equal, and are the perpendicular bisectors of each other (i.e., a rhombus with equal diagonals) * A convex quadrilateral with succ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vincenzo Viviani
Vincenzo Viviani (April 5, 1622 – September 22, 1703) was an Italian mathematician and scientist. He was a pupil of Torricelli and a disciple of Galileo."Viviani" article in the Biography Vincenzo Viviani was born in Florence to the nobles Jacopo di Michelangelo Viviani and Maria Alamanno del Nente. While attending a Jesuit school Viviani studied the . Following the study of humanities, Viviani turned to mathematics. He ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
René Viviani
Jean Raphaël Adrien René Viviani (; 8 November 18637 September 1925) was a French politician of the Third Republic, who served as Prime Minister for the first year of World War I. He was born in Sidi Bel Abbès, in French Algeria. In France he sought to protect the rights of socialists and trade union workers. Biography René Viviani was born in Algeria in a family of Italian immigrants. His parliamentary career began in 1893, when he was elected deputy of the fifth ward in Paris. He retained this office until 1902, when he failed to be reelected, but four years later he was elected deputy of the Department of Creuse. In the same year he entered the cabinet of Georges Clemenceau. At an early age he associated himself with the Socialist party, soon becoming one of its most brilliant orators and prominent leaders. When the party was reorganized in 1904 into the Unified Socialist party, Viviani, like fellow Socialist Aristide Briand, stayed outside, and thenceforth called ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Raffaele Viviani
Raffaele Viviani (10 January 1888 in Castellammare di Stabia, Province of Naples – 22 March 1950) was an Italian author, playwright, actor and musician. Viviani belongs to the turn-of-the-century school of Literary realism, realism in Italian literature, and his works touch on seamier elements of the lives of the poor in Naples of that period, such as petty crime and prostitution. Critics have termed Viviani "an autodidact realist," meaning that he acquired his skills through personal experience and not academic education. Viviani appeared at age 4 on the stage, and by age 20 he had acquired a solid nationwide reputation as an actor and playwright. He also played in Budapest, Paris, Tripoli, Libya, Tripoli, and throughout South America during his career. His plays are in the "anti-Luigi Pirandello, Pirandello" style, less concerned with the psychology of people than with the lives they lead. Viviani's best known-work is ''L'ultimo scugnizzo'' (The Last Urchin) (1931), ''s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anselmo Viviani
Anselmo Viviani (born 1915, date of death unknown) was an Italian cross-country skier who competed in the 1930s and 1940s. In 1937, in the rank of an Alpino (Soldier E-1), together in team with Tenente Giuseppe Fabre and Sergente Luigi Perenni he won Gold at the Trofeo Mezzalama race. In the same year, he finished second in the 40 km event of the Italian men's championships of cross-country skiing. A photograph showing Viviani during his participation at the ''Giro delle Dolomiti'' in Cortina d'Ampezzo demonstrates that he served in the ''IV Legione / Milizia Forestale'' in Turin in 1940. The '' Milizia Forestale'' was an arm of the Blackshirts devoted to forestry Forestry is the science and craft of creating, managing, planting, using, conserving and repairing forests, woodlands, and associated resources for human and environmental benefits. Forestry is practiced in plantations and natural stands. .... Together with three friends, he founded the central scho ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Antonio Viviani
Antonio Viviani (1560–1620) was an Italian painter of the late Renaissance and early Baroque. He was also called ''il Sordo di Urbino'' ("the Deaf of Urbino"), because of his self-absorption while painting frescoes. He was born in Urbino, and there became a follower of Federigo Barocci, said to have been his uncle. He left some pictures at Urbino, in the style of Barocci, various frescoes in Rome, and a vast work in the ''Chiesa de' Filippini'' (San Pietro in Valle) at Fano (1618–1620), consisting of scenes from the lives of those apostles to whom the church was dedicated. These works are now in the Pinacoteca Civica of Fano. He also painted for the Oratory of the Santissima Annunziata in Urbino. In Rome, he is said to have gravitated to the syle of Cesare D'Arpino. After 1585, he traveled to Rome, where he helped fresco the Vatican library and the Scala Santa (1585–1590). He also helped fresco for the loggia of the Palazzo Altemps and for the Palazzo Barberini; the latter ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
