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Ogive
An ogive ( ) is the roundly tapered end of a two-dimensional or three-dimensional object. Ogive curves and surfaces are used in engineering, architecture and woodworking. Etymology The earliest use of the word ''ogive'' is found in the 13th century sketchbook of Villard de Honnecourt, from Picardy in northern France. The ''Oxford English Dictionary'' considers the French term's origin obscure; it might come from the Late Latin , the feminine perfect passive participle of , meaning the one who has met or encountered the other. However, Merriam-Webster's dictionary says it is from the "Middle English stone comprising an arch, from Middle French diagonal arch". Types and use in applied physical science and engineering In ballistics or aerodynamics, an ogive is a pointed, curved surface mainly used to form the approximately streamlined nose of a bullet or other projectile, reducing air resistance or the drag of air. In fact the French word ''ogive'' can be translated as "nose ...
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Nose Cone Design
Given the problem of the aerodynamic design of the nose cone section of any vehicle or body meant to travel through a compressible fluid medium (such as a rocket or aircraft, missile, shell or bullet), an important problem is the determination of the nose cone geometrical shape for optimum performance. For many applications, such a task requires the definition of a solid of revolution shape that experiences minimal resistance to rapid motion through such a fluid medium. Nose cone shapes and equations General dimensions In all of the following nose cone shape equations, is the overall length of the nose cone and is the radius of the base of the nose cone. is the radius at any point , as varies from , at the tip of the nose cone, to . The equations define the two-dimensional profile of the nose shape. The full body of revolution of the nose cone is formed by rotating the profile around the centerline . While the equations describe the 'perfect' shape, practical nose cones ...
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Spitzer (bullet)
The spitzer bullet (or spire point) is a pointed projectile that is primarily used in small-arms. The pointed nose shape, which was developed for military purposes in the late 19th and early 20th century, was a major design improvement compared to earlier rounder or flatter-tipped bullets because pointed nose shapes were less susceptible to external ballistic factors like drag. By adding a point, projectiles made for fully-powered and intermediate rifle cartridges, obtain a lower drag coefficient which makes them decelerate less rapidly. Lowering the drag coefficient leads to improved external ballistic behaviour. The development of spitzer bullets and long-range volley sights for service rifles changed military doctrines. Area targets at ranges up to could be subject to rifle fire. With improvements in machine guns at the turn of the 20th Century, the addition of clinometers meant that fixed machine gun squads could deliver plunging fire or indirect fire at more than . ...
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Gothic Architecture
Gothic architecture (or pointed architecture) is an architectural style that was prevalent in Europe from the late 12th to the 16th century, during the High and Late Middle Ages, surviving into the 17th and 18th centuries in some areas. It evolved from Romanesque architecture and was succeeded by Renaissance architecture. It originated in the Île-de-France and Picardy regions of northern France. The style at the time was sometimes known as ''opus Francigenum'' (lit. French work); the term ''Gothic'' was first applied contemptuously during the later Renaissance, by those ambitious to revive the architecture of classical antiquity. The defining design element of Gothic architecture is the pointed or ogival arch. The use of the pointed arch in turn led to the development of the pointed rib vault and flying buttresses, combined with elaborate tracery and stained glass windows. At the Abbey of Saint-Denis, near Paris, the choir was reconstructed between 1140 and 114 ...
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Secant Ogive
Secant is a term in mathematics derived from the Latin ''secare'' ("to cut"). It may refer to: * a secant line, in geometry * the secant variety, in algebraic geometry * secant (trigonometry) (Latin: secans), the multiplicative inverse (or reciprocal) trigonometric function of the cosine * the secant method In numerical analysis, the secant method is a root-finding algorithm that uses a succession of roots of secant lines to better approximate a root of a function ''f''. The secant method can be thought of as a finite-difference approximation ..., a root-finding algorithm in numerical analysis, based on secant lines to graphs of functions * a secant ogive in nose cone design {{mathdab sr:Секанс ...
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Pointed Arch (architecture)
A pointed arch, ogival arch, or Gothic arch is an arch with a pointed crown, whose two curving sides meet at a relatively sharp angle at the top of the arch. This architectural element was particularly important in Gothic architecture. The earliest use of a pointed arch dates back to bronze-age Nippur. As a structural feature, it was first used in Islamic architecture, but in the 12th century it began to be used in France and England as an important structural element, in combination with other elements, such as the rib vault and later the flying buttress. These allowed the construction of cathedrals, palaces and other buildings with dramatically greater height and larger windows which filled them with light. Early arches Crude arches pointed in shape have been discovered from the Bronze Age site of Nippur dated earlier than 2700 BC. The palace of Nineveh also has pointed arched drains but they have no true keystone. File:Trivikram Temple Ter 1.jpg, Temple of Trivikrama i ...
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Supersonic
Supersonic speed is the speed of an object that exceeds the speed of sound (Mach 1). For objects traveling in dry air of a temperature of 20 °C (68 °F) at sea level, this speed is approximately . Speeds greater than five times the speed of sound (Mach 5) are often referred to as hypersonic. Flights during which only some parts of the air surrounding an object, such as the ends of rotor blades, reach supersonic speeds are called transonic. This occurs typically somewhere between Mach 0.8 and Mach 1.2. Sounds are traveling vibrations in the form of pressure waves in an elastic medium. Objects move at supersonic speed when the objects move faster than the speed at which sound propagates through the medium. In gases, sound travels longitudinally at different speeds, mostly depending on the molecular mass and temperature of the gas, and pressure has little effect. Since air temperature and composition varies significantly with altitude, the speed of ...
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Secant Ogive
Secant is a term in mathematics derived from the Latin ''secare'' ("to cut"). It may refer to: * a secant line, in geometry * the secant variety, in algebraic geometry * secant (trigonometry) (Latin: secans), the multiplicative inverse (or reciprocal) trigonometric function of the cosine * the secant method In numerical analysis, the secant method is a root-finding algorithm that uses a succession of roots of secant lines to better approximate a root of a function ''f''. The secant method can be thought of as a finite-difference approximation ..., a root-finding algorithm in numerical analysis, based on secant lines to graphs of functions * a secant ogive in nose cone design {{mathdab sr:Секанс ...
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Ballistics
Ballistics is the field of mechanics concerned with the launching, flight behaviour and impact effects of projectiles, especially ranged weapon munitions such as bullets, unguided bombs, rockets or the like; the science or art of designing and accelerating projectiles so as to achieve a desired performance. A ballistic body is a free-moving body with momentum which can be subject to forces such as the forces exerted by pressurized gases from a gun barrel or a propelling nozzle, normal force by rifling, and gravity and air drag during flight. A ballistic missile is a missile that is guided only during the relatively brief initial phase of powered flight and the trajectory is subsequently governed by the laws of classical mechanics; in contrast to (for example) a cruise missile which is aerodynamically guided in powered flight like a fixed-wing aircraft. History and prehistory The earliest known ballistic projectiles were stones and spears, and the throwing stic ...
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Sphere
A sphere () is a Geometry, geometrical object that is a solid geometry, three-dimensional analogue to a two-dimensional circle. A sphere is the Locus (mathematics), set of points that are all at the same distance from a given point in three-dimensional space.. That given point is the centre (geometry), centre of the sphere, and is the sphere's radius. The earliest known mentions of spheres appear in the work of the Greek mathematics, ancient Greek mathematicians. The sphere is a fundamental object in many fields of mathematics. Spheres and nearly-spherical shapes also appear in nature and industry. Bubble (physics), Bubbles such as soap bubbles take a spherical shape in equilibrium. spherical Earth, The Earth is often approximated as a sphere in geography, and the celestial sphere is an important concept in astronomy. Manufactured items including pressure vessels and most curved mirrors and lenses are based on spheres. Spheres rolling, roll smoothly in any direction, so mos ...
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Kosambi
Kosambi (Pali) or Kaushambi (Sanskrit) was an important city in ancient India. It was the capital of the Vatsa kingdom, one of the sixteen mahajanapadas. It was located on the Yamuna River about southwest of its confluence with the Ganges at Prayaga (modern Prayagraj). History During 2nd millennium BCE Ochre Coloured Pottery culture spread in the region. Kosambi was one of the greatest cities in India from the late Vedic period until the end of Maurya Empire with occupation continuing until the Gupta Empire. As a small town, it was established in the late Vedic period, by the rulers of Kuru Kingdom as their new capital. The initial Kuru capital Hastinapur was destroyed by floods, and the Kuru King transferred his entire capital with the subjects to a new capital that he built near the Ganga-Jamuma confluence, which was 56 km away from the southernmost part of the Kuru Kingdom now as Prayagraj previously called Allahabad.During the period prior the Maurya Empir ...
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Archaeological Survey Of India
The Archaeological Survey of India (ASI) is an Indian government agency that is responsible for archaeological research and the conservation and preservation of cultural historical monuments in the country. It was founded in 1861 by Alexander Cunningham who also became its first Director-General. History ASI was founded in 1861 by Alexander Cunningham who also became its first Director-General. The first systematic research into the subcontinent's history was conducted by the Asiatic Society, which was founded by the British Indologist William Jones on 15 January 1784. Based in Calcutta, the society promoted the study of ancient Sanskrit and Persian texts and published an annual journal titled ''Asiatic Researches''. Notable among its early members was Charles Wilkins who published the first English translation of the '' Bhagavad Gita'' in 1785 with the patronage of the then Governor-General of Bengal, Warren Hastings. However, the most important of the society's ach ...
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Corbel
In architecture, a corbel is a structural piece of stone, wood or metal jutting from a wall to carry a superincumbent weight, a type of bracket. A corbel is a solid piece of material in the wall, whereas a console is a piece applied to the structure. A piece of timber projecting in the same way was called a "tassel" or a "bragger" in England. The technique of corbelling, where rows of corbels deeply keyed inside a wall support a projecting wall or parapet, has been used since Neolithic (New Stone Age) times. It is common in medieval architecture and in the Scottish baronial style as well as in the vocabulary of classical architecture, such as the modillions of a Corinthian cornice. The corbel arch and corbel vault use the technique systematically to make openings in walls and to form ceilings. These are found in the early architecture of most cultures, from Eurasia to Pre-Columbian architecture. A console is more specifically an "S"-shaped scroll bracket in the classical ...
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