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Mechanical device
The Varignon frame, named after Pierre Varignon, is a mechanical device which can be used to determine an optimal location of a warehouse for the distribution
Varignon_frame
Point minimizing sum of distances to given points
be solved in polynomial time using common optimization solvers. The Varignon frame is an analog computing device that (ignoring real-world issues such
Geometric_median
Working from a model akin to a physical frame adapted from some ideas by Pierre Varignon (a Varignon frame), Weber applies freight rates of resources
Location_theory
Problem of minimizing sum of transport costs
\sum _{i=1}^{n}{\frac {w_{i}}{|x_{i}-y_{j}|}}}}} The Varignon frame provides an experimental solution of the Weber problem. For the attraction–repulsion
Weber_problem
Optimization problem
context of Weber). Previously the only mechanical methods such as a Varignon frame could solve these problems. At the same time, work was being done on
Optimal_facility_location
Architectural method
1725 introduction of the force polygon and funicular polygon by Pierre Varignon. Giovanni Poleni used the graphical calculations (and Robert Hooke's analogy
Graphic_statics
Unique point where the weighted relative position of the distributed mass sums to zero
Faille, Paul Guldin, John Wallis, Christiaan Huygens, Louis Carré, Pierre Varignon, and Alexis Clairaut expanded the concept further. Newton's second law
Center_of_mass
Branch of mechanics concerned with balance of forces in nonmoving systems
&f_{0j}\\f_{01}&...&f_{1j}\\...&...&...\\f_{i0}&...&f_{ij}\\\end{array}}\right)} Varignon's theorem states that the moment of a force about any point is equal to
Statics
Pair of equal magnitude but opposite direction forces
unlike any more general moments, is a "free vector". (This fact is called Varignon's Second Moment Theorem.) The proof of this claim is as follows: Suppose
Couple_(mechanics)
Turning force around an axis
_{2}}\tau \,\mathrm {d} \theta } The principle of moments, also known as Varignon's theorem (not to be confused with the geometrical theorem of the same name)
Torque
List of scientists who are Christians
in hopes of a reunification between Catholicism and Lutheranism. Pierre Varignon (1654–1722): French mathematician and Catholic priest known for his contributions
List of Christians in science and technology
List_of_Christians_in_science_and_technology
geometry to solve structural problems. In 1717 Jean Bernoulli wrote to Pierre Varignon explaining the principle of virtual work, while in 1726 Daniel Bernoulli
History of structural engineering
History_of_structural_engineering
Jacques Ozanam in Recreation mathematiques et physiques, vol. IV. Pierre Varignon's Nouvelle Méchanique ou Statique, published posthumously in Paris, includes
1725_in_science
Work done by a force to move a particle along a virtual displacement
virtual work law appeared in his letter to Pierre Varignon in 1715, which was later published in Varignon's second volume of Nouvelle mécanique ou Statique
Virtual_work
Day of the year
duc de Choiseul, French general and diplomat (born 1602) 1722 – Pierre Varignon, French mathematician and academic (born 1654) 1761 – Alastair Ruadh MacDonnell
December_23
developed ways to find volumes and centers of gravity of solid bodies Pierre Varignon (1654–1722) – priest and mathematician whose principle contributions were
List of Catholic clergy scientists
List_of_Catholic_clergy_scientists
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