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 destribution...
7 KB (1,193 words) - 14:35, 22 December 2022
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...
12 KB (1,528 words) - 17:01, 17 March 2023
\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...
27 KB (3,763 words) - 06:48, 29 February 2024
Jacques Ozanam in Recreation mathematiques et physiques, vol. IV. Pierre Varignon's Nouvelle Méchanique ou Statique, published posthumously in Paris, includes...
3 KB (275 words) - 16:46, 16 June 2024
Faille, Paul Guldin, John Wallis, Christiaan Huygens, Louis Carré, Pierre Varignon, and Alexis Clairaut expanded the concept further. Newton's second law...
35 KB (4,887 words) - 00:02, 23 June 2024
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...
45 KB (6,342 words) - 14:22, 20 August 2024
1725 introduction of the force polygon and funicular polygon by Pierre Varignon. Giovanni Poleni used the graphical calculations (and Robert Hooke's analogy...
4 KB (532 words) - 18:33, 16 February 2024
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...
6 KB (949 words) - 00:04, 20 June 2024
_{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)...
31 KB (4,358 words) - 15:55, 22 August 2024
geometry to solve structural problems. In 1717 Jean Bernoulli wrote to Pierre Varignon explaining the principle of virtual work, while in 1726 Daniel Bernoulli...
25 KB (3,172 words) - 07:15, 16 August 2024