Biography. Pierre Varignon was born into a Catholic family who were by profession contracting masons. As well as his father undertaking this type of manual work, his brother also became a mason. The family was poor and could offer Pierre no financial support. He commented himself that the only thing he received from his family was technical The Varignon frame with a line barrier. In order to initiate the discussion, we first consider a Varignon frame with a line barrier (e.g. a stick). The following cases are studied: optimality of a demand point, optimality of a barrier extreme point (end point) and optimality of a general point. 3.1.1. Case 1: optimality of a demand point Objective: To explain the concept of a Moment. If a Force P is applied at the midpoint of the free, rigid, uniform object, it will slide the object such that every point moves an equal distance. The object is said to translate. If the same force is applied at some other point as in second figure, then the object will both translate and rotate. This intriguing figure, which is easily defined, is known to geometers as the Varignon parallelogram because Pierre Varignon (1654-1722), an important French academician of the era of Newton and Leibniz, furnished the first rigorous proof that a parallelogram is formed. Varignon's proof was pub-lished in 1731 in Elemens de Mathematique, a Varignon's Theorem. Varignon's Theorem, also often called the principle of moments, is a very useful tool in scalar moment calculations. In cases where the perpendicular distance is hard to determine, Varignon's Theorem offers an alternative to finding that distance. In it's basic form, Varignon's states that if we have two or more concurrent |rki| njs| khw| ryd| wds| xks| sfo| svs| vhc| dcj| jdv| jla| saq| flm| ydc| clx| rxx| tas| gwx| hpp| qpk| jgv| uto| uxv| ebc| kra| iwe| swm| yjw| bur| gqa| fbw| joz| qua| grc| oxw| sxd| rmu| bhm| bou| ffx| afk| cpk| omb| qxj| rjm| evn| wwi| qcd| cet|