Mathematical Bridge
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Mathematical Bridge
The Mathematical Bridge is the popular name of a wooden footbridge in the southwest of central Cambridge, England. It bridges the River Cam about one hundred feet northwest of Silver Street Bridge and connects two parts of Queens' College. Its official name is simply the Wooden Bridge or Queens' Bridge. It is a Grade II listed building. The bridge was designed by William Etheridge, and built by James Essex in 1749. It has been rebuilt on two occasions, in 1866 and in 1905, but has kept the same overall design. Although it appears to be an arch, it is composed entirely of straight timbers built to an unusually sophisticated engineering design, hence the name. A replica of the bridge was built in 1923 near the Iffley Lock in Oxford. The original "mathematical bridge" was another bridge of the same design, also commissioned by James Essex, crossing the Cam between Trinity and Trinity Hall colleges, where Garret Hostel Bridge now stands. Mathematical explanation The arrangem ...
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River Cam
The River Cam () is the main river flowing through Cambridge in eastern England. After leaving Cambridge, it flows north and east before joining the River Great Ouse to the south of Ely, at Pope's Corner. The total distance from Cambridge to the sea is about and is navigable for punts, small boats, and rowing craft. The Great Ouse also connects to England's canal system via the Middle Level Navigations and the River Nene. In total, the Cam runs for around from its furthest source (near Debden in Essex) to its confluence with the Great Ouse. Name The original name of the river was the ''Granta'' and (unusually) its present name derives from the city of Cambridge ( ang, Grantebrycge) rather than the other way around: After the city's present name developed in Middle English, the river's name was backformed to match. This was not universally applied, however, and the upper stretch of the river continues to be informally known as the Granta. It has been said''Bedders, Bulldo ...
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Tangent
In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve. More precisely, a straight line is said to be a tangent of a curve at a point if the line passes through the point on the curve and has slope , where ''f'' is the derivative of ''f''. A similar definition applies to space curves and curves in ''n''-dimensional Euclidean space. As it passes through the point where the tangent line and the curve meet, called the point of tangency, the tangent line is "going in the same direction" as the curve, and is thus the best straight-line approximation to the curve at that point. The tangent line to a point on a differentiable curve can also be thought of as a '' tangent line approximation'', the graph of the affine function that best approximates the original function at the given point. Similarly, t ...
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Truss Bridges
A truss bridge is a bridge whose load-bearing superstructure is composed of a truss, a structure of connected elements, usually forming triangular units. The connected elements (typically straight) may be stressed from tension, compression, or sometimes both in response to dynamic loads. The basic types of truss bridges shown in this article have simple designs which could be easily analyzed by 19th and early 20th-century engineers. A truss bridge is economical to construct because it uses materials efficiently. Design The nature of a truss allows the analysis of its structure using a few assumptions and the application of Newton's laws of motion according to the branch of physics known as statics. For purposes of analysis, trusses are assumed to be pin jointed where the straight components meet, meaning that taken alone, every joint on the structure is functionally considered to be a flexible joint as opposed to a rigid joint with strength to maintain its own shape, and the ...
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Wooden Bridges In The United Kingdom
Wood is a porous and fibrous structural tissue found in the stems and roots of trees and other woody plants. It is an organic materiala natural composite of cellulose fibers that are strong in tension and embedded in a matrix of lignin that resists compression. Wood is sometimes defined as only the secondary xylem in the stems of trees, or it is defined more broadly to include the same type of tissue elsewhere such as in the roots of trees or shrubs. In a living tree it performs a support function, enabling woody plants to grow large or to stand up by themselves. It also conveys water and nutrients between the leaves, other growing tissues, and the roots. Wood may also refer to other plant materials with comparable properties, and to material engineered from wood, or woodchips or fiber. Wood has been used for thousands of years for fuel, as a construction material, for making tools and weapons, furniture and paper. More recently it emerged as a feedstock for the produ ...
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Pedestrian Bridges In England
A pedestrian is a person traveling on foot, whether walking or running. In modern times, the term usually refers to someone walking on a road or pavement, but this was not the case historically. The meaning of pedestrian is displayed with the morphemes ''ped-'' ('foot') and ''-ian'' ('characteristic of'). This word is derived from the Latin term ''pedester'' ('going on foot') and was first used (in English language) during the 18th century. It was originally used, and can still be used today, as an adjective meaning plain or dull. However, in this article it takes on its noun form and refers to someone who walks. The word pedestrian may have been used in middle French in the Recueil des Croniques et Anchiennes Istories de la Grant Bretaigne, à présent nommé Engleterre. In California the definition of a pedestrian has been broadened to include anyone on any human powered vehicle that is not a bicycle, as well as people operating self-propelled wheelchairs by reason of ph ...
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Bridges Across The River Cam
A bridge is a structure built to span a physical obstacle (such as a body of water, valley, road, or rail) without blocking the way underneath. It is constructed for the purpose of providing passage over the obstacle, which is usually something that is otherwise difficult or impossible to cross. There are many different designs of bridges, each serving a particular purpose and applicable to different situations. Designs of bridges vary depending on factors such as the function of the bridge, the nature of the terrain where the bridge is constructed and anchored, and the material used to make it, and the funds available to build it. The earliest bridges were likely made with fallen trees and stepping stones. The Neolithic people built boardwalk bridges across marshland. The Arkadiko Bridge (dating from the 13th century BC, in the Peloponnese) is one of the oldest arch bridges still in existence and use. Etymology The ''Oxford English Dictionary'' traces the origin of the ...
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Bridges Completed In 1749
A bridge is a structure built to span a physical obstacle (such as a body of water, valley, road, or rail) without blocking the way underneath. It is constructed for the purpose of providing passage over the obstacle, which is usually something that is otherwise difficult or impossible to cross. There are many different designs of bridges, each serving a particular purpose and applicable to different situations. Designs of bridges vary depending on factors such as the function of the bridge, the nature of the terrain where the bridge is constructed and anchored, and the material used to make it, and the funds available to build it. The earliest bridges were likely made with fallen trees and stepping stones. The Neolithic people built boardwalk bridges across marshland. The Arkadiko Bridge (dating from the 13th century BC, in the Peloponnese) is one of the oldest arch bridges still in existence and use. Etymology The ''Oxford English Dictionary'' traces the origin of the ...
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Bridges In Cambridge
The following is a list and brief history of the bridges in Cambridge, England, principally those over the River Cam of which there are 25, soon to be 26. The River Cam enters Cambridge from the south west of the city and heads north past many of the historic colleges of the University of Cambridge along the open area known as The Backs. After passing St John's College, it turns sharply and runs east, passing the weir at Jesus Green and the boathouses alongside Midsummer Common. Passing Chesterton, it turns north again and leaves the city, running a further before merging with the Great Ouse at Pope's Corner to the south of Ely. Bridges over the River Cam (south to north) Upper River (upstream of mill pond weir) Trumpington Bridge (1790) The most upstream bridge in Cambridge (UK Parliament constituency) lies along Grantchester Road between Grantchester and Trumpington. Also known as Brasel Bridge, this 1790 brick bridge replaced a wooden bridge at the site of a ford ...
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Clare College, Cambridge
Clare College is a constituent college of the University of Cambridge in Cambridge, England. The college was founded in 1326 as University Hall, making it the second-oldest surviving college of the University after Peterhouse. It was refounded in 1338 as ''Clare Hall'' by an endowment from Elizabeth de Clare, and took on its current name in 1856. Clare is famous for its chapel choir and for its gardens on "The Backs" (the back of the colleges that overlook the River Cam). Clare is consistently one of the most popular Cambridge colleges amongst prospective applicants. History The college was founded in 1326 by the university's Chancellor, Richard Badew, and was originally named ''University Hall''. Providing maintenance for only two fellows, it soon hit financial hardship. In 1338, the college was refounded as ''Clare Hall'' by an endowment from Elizabeth de Clare, a granddaughter of Edward I, which provided for twenty fellows and ten students.
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Old Walton Bridge
Old Walton Bridge is the name given to the first Walton Bridge built across the River Thames between Walton-on-Thames and Shepperton in Surrey, England (the latter then in Middlesex). The wooden bridge was completed in 1750, was painted by Canaletto and stood until 1783 when, in decay, it was dismantled to make way for a stone-clad brickwork replacement, later painted by Turner. History Construction of the bridge by a Mr White of Weybridge was started in 1748 and was completed in 1750. The construction was paid for by Samuel Dicker who was the MP for Plymouth and owned property in Walton on Thames. By paying for its construction Dicker also obtained the right to collect tolls from users of the bridge under the statute. Opponents to its construction comprised ferry operators, who foresaw an impact their livelihoods; the bargees who thought it would make the river unnavigable; and a minority of residents of Walton-on-Thames who were worried about an influx of undesirable element ...
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Isaac Newton
Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English mathematician, physicist, astronomer, alchemist, theologian, and author (described in his time as a "natural philosopher"), widely recognised as one of the greatest mathematicians and physicists and among the most influential scientists of all time. He was a key figure in the philosophical revolution known as the Enlightenment. His book (''Mathematical Principles of Natural Philosophy''), first published in 1687, established classical mechanics. Newton also made seminal contributions to optics, and shares credit with German mathematician Gottfried Wilhelm Leibniz for developing infinitesimal calculus. In the , Newton formulated the laws of motion and universal gravitation that formed the dominant scientific viewpoint for centuries until it was superseded by the theory of relativity. Newton used his mathematical description of gravity to derive Kepler's laws of planetary motion, account for ...
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Centring
Centring, centre, centering"Centering 2, Centring 2" def. 1. Whitney, William Dwight, and Benjamin E. Smith. ''The Century dictionary and cyclopedia''. vol. 2. New York: Century Co., 1901. p. 885., or center is a type of formwork: the temporary structure upon which the stones of an arch or vault are laid during construction. Until the keystone is inserted an arch has no strength and needs the centring to keep the voussoirs in their correct relative positions. A simple centring without a truss is called a common centring. A cross piece connecting centring frames is called a lag or bolst.Ching, Frank (1995). ''A visual dictionary of architecture''. New York: Van Nostrand Reinhold. p. 3. . Centring is normally made of wood timbers, a relatively straightforward structure in a simple arch or vault; but with more complex shapes involving double curvature, such as a dome or the bottle-shaped flue in a Norman-period kitchen, clay or sand bound by a weak lime mortar would be used. Shaping ...
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