Overhead lines - Wikipedia, the free encyclopedia
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Overhead lines or overhead wires are used to transmit electrical energy to trams, trolleybuses or trains at a distance from the energy supply point. These overhead lines are known variously as • O...
en.wikipedia.org/wiki/Overhead_lines
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The word catenary is derived from the Latin word for "chain." In 1669, Jungius disproved Galileo's claim that the curve of a chain hanging under gravity ...
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mathworld.wolfram.com/Catenary.html
mathworld.wolfram.com/Catenary.html
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Huygens was the first to use the term catenary in a letter to Leibniz in 1690 and David Gregory wrote a treatise on the catenary in 1690. Jungius (1669) disproved Galileo's claim that the curve of a chain hanging under gravity would be a parabola.
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www-history.mcs.st-and.ac.uk/Curves/Catenary.html
www-history.mcs.st-and.ac.uk/Curves/Catenary.html
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Image processing programs, application notes, and source code in C/C++, C#, Visual Basic, Java. Use Victor to create your image applications in C/C++, C#, VB, ASP.NET, VB.NET, Java, ASP. ... Catenary Systems, Image Processing Specialists...
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www.catenary.com/
www.catenary.com/
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The curve described by a uniform, flexible chain hanging under the influence of gravity is called the catenary. Let us choose the coordinates to describe the curve as shown in the Figure, with the origin at the lowest point of the chain, x to the right, and y upwards.
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mysite.du.edu/~jcalvert/math/catenary.htm
mysite.du.edu/~jcalvert/math/catenary.htm
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Galileo's suggestion that a heavy rope would hang in the shape of a parabola was disproved by Jungius in 1669, but the true shape of the “chain-curve”, the catenary, was not found until 1690/91, when Huygens, Leibniz and John Bernoulli replied to a challenge by James Bernoulli.
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xahlee.org/SpecialPlaneCurves_dir/Catenary_dir/catenary...
xahlee.org/SpecialPlaneCurves_dir/Catenary_dir/catenary.html
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Correct! - Catenary ... The catenary equation is where a is determined by the linear density and tension of the chain. This is a transcendental curve rather than an algebraic curve like the parabola. The catenary is a hyperbolic function: .
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teachers.sduhsd.k12.ca.us/abrown/Activities/Matching/an...
teachers.sduhsd.k12.ca.us/abrown/Activities/Matching/answers/Catenary.htm
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A catenary is the curve formed by a flexible cable of uniform density hanging from two points under its own weigh. Cables of suspension bridges and attached to telephone poles hang in this shape. If the lowest point of the catenary is at , then the equation of the catenary is ;
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math.fullerton.edu/mathews/n2003/CatenaryMod.html
math.fullerton.edu/mathews/n2003/CatenaryMod.html
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Figure 2 shows the graph of a catenary. Note that f gives the height of the cable as a function of position x. ... Figure 3. The graph of the catenary is shown in blue. The poles have height h and the minimum value of the catenary function is c + a. In the context of the utility pole problem, the minimum value corresponds...
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mathdemos.gcsu.edu/mathdemos/catenary/catenary.html
mathdemos.gcsu.edu/mathdemos/catenary/catenary.html
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