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Titlebook: History of Virtual Work Laws; A History of Mechani Danilo Capecchi Book 2012 Springer Milan 2012 Fundaments of mechanics.History of mechani

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Greek origins,is considered that identifies as a principle the following VWL based on virtual velocity: .. In the central part the Archimedean mechanics is considered where there is no reference to any VWL. In the final part devoted to the late Hellenistic mechanics, the VWL of Hero of Alexandria is considered fo
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Italian Renaissance statics,t part presents the mechanics of Nicoló Tartaglia, who takes as a principle the VWL associated with Jordanus de Nemore’s concept of gravity of position. The final part shows the mechanics of Galileo Galilei, who uses as a principle the VWL based on virtual velocities with the concept of moment for w
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The principle of virtual velocities, first part the different conceptions of the force of the XVIII century, including those of dead and living forces, are summarized. In the central part Bernoulli’s VWL is presented which enforces equality of positive and negative energies, the energy being defined as the scalar product of the force
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,Lagrange’s contribution,imilar to that of Bernoulli. Lagrange calls his VWL and Bernoulli’s the .. In the central part the wordings of VWL in the two editions of the . in terms of virtual displacements (following a . route) and the . in terms of virtual velocity (following a . route) are presented. In the final part an ove
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