Vanishing Point
A vanishing point is a point on the image plane of a perspective drawing where the two-dimensional perspective projections of mutually parallel lines in three-dimensional space appear to converge. When the set of parallel lines is perpendicular to a picture plane, the construction is known as one-point perspective, and their vanishing point corresponds to the oculus, or "eye point", from which the image should be viewed for correct perspective geometry.Kirsti Andersen (2007) ''Geometry of an Art'', p. xxx, Springer, Traditional linear drawings use objects with one to three sets of parallels, defining one to three vanishing points. Italian humanist polymath and architect Leon Battista Alberti first introduced the concept in his treatise on perspective in art, '' De pictura'', written in 1435. Vector notation The vanishing point may also be referred to as the "direction point", as lines having the same directional vector, say ''D'', will have the same vanishing point. Mathem ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Railroad In Northumberland County, Pennsylvania
Rail transport (also known as train transport) is a means of transport that transfers passengers and goods on wheeled vehicles running on rails, which are incorporated in tracks. In contrast to road transport, where the vehicles run on a prepared flat surface, rail vehicles (rolling stock) are directionally guided by the tracks on which they run. Tracks usually consist of steel rails, installed on sleepers (ties) set in ballast, on which the rolling stock, usually fitted with metal wheels, moves. Other variations are also possible, such as "slab track", in which the rails are fastened to a concrete foundation resting on a prepared subsurface. Rolling stock in a rail transport system generally encounters lower frictional resistance than rubber-tyred road vehicles, so passenger and freight cars (carriages and wagons) can be coupled into longer trains. The operation is carried out by a railway company, providing transport between train stations or freight customer faciliti ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Humphry Ditton
Humphry Ditton (29 May 1675 – 15 October 1715) was an English mathematician. He was the author of several influential works. Life Ditton was born on 29 May 1675 in Salisbury, the only son of Humphry Ditton, gentleman and ardent nonconformist, and Miss Luttrell of Dunster Castle, near Taunton. He studied theology privately, and was for some time also a dissenting minister, at Tonbridge, where he married a Miss Ball.Raymond Flood: "Ditton, Humphry umphrey, ODNBRetrieved 29 May 2021./ref> On his father's death, Ditton devoted himself mainly to the study of mathematics. Through the influence of Isaac Newton he was elected mathematical master in Christ's Hospital. He produced also a theological work, ''A Discourse Concerning the Resurrection of Jesus Christ'', which sought to take a mathematical, deductive approach to the subject. The first of its four editions appeared in 1712 and it was translated into French and German. He was unable to complete his response to various criticis ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Gaussian Surface
A Gaussian surface is a closed surface in three-dimensional space through which the flux of a vector field is calculated; usually the gravitational field, electric field, or magnetic field. It is an arbitrary closed surface (the boundary of a 3-dimensional region ) used in conjunction with Gauss's law for the corresponding field (Gauss's law, Gauss's law for magnetism, or Gauss's law for gravity) by performing a surface integral, in order to calculate the total amount of the source quantity enclosed; e.g., amount of gravitational mass as the source of the gravitational field or amount of electric charge as the source of the electrostatic field, or vice versa: calculate the fields for the source distribution. For concreteness, the electric field is considered in this article, as this is the most frequent type of field the surface concept is used for. Gaussian surfaces are usually carefully chosen to exploit symmetries of a situation to simplify the calculation of the surface inte ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Renaissance
The Renaissance ( , ) , from , with the same meanings. is a period in European history marking the transition from the Middle Ages to modernity and covering the 15th and 16th centuries, characterized by an effort to revive and surpass ideas and achievements of classical antiquity. It occurred after the Crisis of the Late Middle Ages and was associated with great social change. In addition to the standard periodization, proponents of a "long Renaissance" may put its beginning in the 14th century and its end in the 17th century. The traditional view focuses more on the early modern aspects of the Renaissance and argues that it was a break from the past, but many historians today focus more on its medieval aspects and argue that it was an extension of the Middle Ages. However, the beginnings of the period – the early Renaissance of the 15th century and the Italian Proto-Renaissance from around 1250 or 1300 – overlap considerably with the Late Middle Ages, conventionally da ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Sistine Chapel
The Sistine Chapel (; la, Sacellum Sixtinum; it, Cappella Sistina ) is a chapel in the Apostolic Palace, the official residence of the pope in Vatican City. Originally known as the ''Cappella Magna'' ('Great Chapel'), the chapel takes its name from Pope Sixtus IV, who had it built between 1473 and 1481. Since that time, the chapel has served as a place of both religious and functionary papal activity. Today, it is the site of the papal conclave, the process by which a new pope is selected. The fame of the Sistine Chapel lies mainly in the frescoes that decorate the interior, most particularly the Sistine Chapel ceiling and ''The Last Judgment (Michelangelo), The Last Judgment'', both by Michelangelo. During the reign of Sixtus IV, a team of Italian Renaissance painting, Renaissance painters that included Sandro Botticelli, Pietro Perugino, Pinturicchio, Domenico Ghirlandaio and Cosimo Rosselli, created a series of frescos depicting the ''Life of Moses'' and the ''Life of Christ ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Fresco
Fresco (plural ''frescos'' or ''frescoes'') is a technique of mural painting executed upon freshly laid ("wet") lime plaster. Water is used as the vehicle for the dry-powder pigment to merge with the plaster, and with the setting of the plaster, the painting becomes an integral part of the wall. The word ''fresco'' ( it, affresco) is derived from the Italian adjective ''fresco'' meaning "fresh", and may thus be contrasted with fresco-secco or secco mural painting techniques, which are applied to dried plaster, to supplement painting in fresco. The fresco technique has been employed since antiquity and is closely associated with Italian Renaissance painting. The word ''fresco'' is commonly and inaccurately used in English to refer to any wall painting regardless of the plaster technology or binding medium. This, in part, contributes to a misconception that the most geographically and temporally common wall painting technology was the painting into wet lime plaster. Even in appar ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Delivery Of The Keys (Perugino)
The ''Delivery of the Keys'', or ''Christ Giving the Keys to St. Peter'' is a fresco by the Italian Renaissance painter Pietro Perugino which was produced in 1481–1482 and is located in the Sistine Chapel, Rome. History The commission of the work originated in 1480, when Perugino was decorating a chapel in the Old St. Peter's Basilica in Rome. Pope Sixtus IV was pleased by his work, and decided to commission him also the decoration of the new Chapel he had built in the Vatican Palace. Due to the size of the work, Perugino was later joined by a group of painters from Florence, including Botticelli, Ghirlandaio and others. While the work was still being created, a visit from Alfonso II of Naples resulted in his addition to the far left of the group of foreground figures. To balance out the image, an apostle was added above St. Peter. Description The scene, part of the series of the ''Stories of Jesus'' on the chapel's northern wall, is a reference to Matthew 16 in which Jesus ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Pietro Perugino
Pietro Perugino (, ; – 1523), born Pietro Vannucci, was an Italian Renaissance Painting, painter of the Umbrian school, who developed some of the qualities that found classic expression in the High Renaissance. Raphael was his most famous pupil. Early years He was born Pietro Vannucci in Città della Pieve, Umbria, the son of Cristoforo Maria Vannucci. His nickname characterizes him as from Perugia, the chief city of Umbria. Scholars continue to dispute the socioeconomic status of the Vannucci family. While certain academics maintain that Vannucci worked his way out of poverty, others argue that his family was among the wealthiest in the town. His exact date of birth is not known, but based on his age at death that was mentioned by Giorgio Vasari, Vasari and Giovanni Santi, it is believed that he was born between 1446 and 1452. Pietro most likely began studying painting in local workshops in Perugia such as those of Bartolomeo Caporali or Fiorenzo di Lorenzo. The date of th ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Reverse Perspective
Reverse perspective, also called inverse perspective,. inverted perspective, divergent perspective, or Byzantine perspective, is a form of perspective drawing in which the objects depicted in a scene are placed between the projective point and the viewing plane. Objects farther away from the viewing plane are drawn as larger, and closer objects are drawn as smaller, in contrast to the more conventional linear perspective for which closer objects appear larger.. Lines that are parallel in three-dimensional space are drawn as diverging against the horizon, rather than converging as they do in linear perspective. Technically, the vanishing points are placed outside the painting with the illusion that they are "in front of" the painting. The name Byzantine perspective comes from the use of this perspective in Byzantine and Russian Orthodox icons; it is also found in the art of many pre-Renaissance cultures, and was sometimes used in Cubism and other movements of modern art, as well ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Curvilinear Perspective
Curvilinear perspective, also five-point perspective, is a graphical projection used to draw 3D objects on 2D surfaces. It was formally codified in 1968 by the artists and art historians André Barre and Albert Flocon in the book ''La Perspective curviligne'',Albert Flocon and André Barre, ''La Perspective curviligne'', Flammarion, Éditeur, Paris, 1968 which was translated into English in 1987 as ''Curvilinear Perspective: From Visual Space to the Constructed Image'' and published by the University of California Press.Albert Flocon and André Barre, ''Curvilinear Perspective: From Visual Space to the Constructed Image'', (Robert Hansen, translator), University of California Press, Berkeley and Los Angeles, California, 1987 Curvilinear perspective is sometimes colloquially called fisheye perspective, by analogy to a fisheye lens. History Earlier, less mathematically precise versions can be seen in the work of the miniaturist Jean Fouquet. Leonardo da Vinci in a lost notebook sp ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Horizon
The horizon is the apparent line that separates the surface of a celestial body from its sky when viewed from the perspective of an observer on or near the surface of the relevant body. This line divides all viewing directions based on whether it intersects the relevant body's surface or not. The ''true horizon'' is a theoretical line, which can only be observed to any degree of accuracy when it lies along a relatively smooth surface such as that of Earth's oceans. At many locations, this line is obscured by terrain, and on Earth it can also be obscured by life forms such as trees and/or human constructs such as buildings. The resulting intersection of such obstructions with the sky is called the ''visible horizon''. On Earth, when looking at a sea from a shore, the part of the sea closest to the horizon is called the offing. Pronounced, "Hor-I-zon". The true horizon surrounds the observer and it is typically assumed to be a circle, drawn on the surface of a perfectly spherica ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Sightline
In architecture, sightlines are a particularly important consideration in the design of civic structures, such as a stage, arena, or monument. They determine the configuration of such items as theater and stadium design, road junction layout and urban planning. In cities such as London, construction within sightlines is restricted to protect the key views of famous landmarks Subjects that have a line of sight with one another are said to be intervisible, where intervisibility is the ability of viewers at separate places to see each other without any landform blocking their view. C-Value Good sightlines allow spectators to see all areas of a venue stage or field of play. To ensure this designers utilize the C-value, defined as the vertical distance from a spectator's eyes to sightline of the spectator directly behind. The C-value is determined in part by the rake, that is, the upward slope of the seating. The stadium bowl rake if based on consistent C-values will follow half ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |