By A. Wolf, F. Dannemann, A. Armitage, Douglas McKie
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Additional resources for A History of Science, Technology, and Philosophy in the 16th and 17th Centuries
This principle o f virtual velocities or displacements amounts in the last resort to the statement that equilibrium is maintained when the work done by the force equals the work done by the load, the work done being calculated by multiplying the weight by the vertical displacement. The simplest instance o f the application to Hydrostatics o f the Principle of Virtual Velocities with which Galilei deals is that o f the immersion o f a prismatic body in a similar prismatic vessel filled with some fluid.
It was his discoveries relating to the laws o f the oscillations of the pendulum that led Galilei to direct his attention to the vibrations of strings, and especially to the phenomenon o f so-called sympathetic vibration, which was popularly explained as due to some kind of sympathy on the part o f other strings with the vibrating string. First of all, Galilei showed the dependence of the pitch of a note upon the number of vibrations occurring in a given time. He did this by means of the following experiment.
In June he was examined by the Inquisition and threatened with torture. He recanted, was sentenced to detention during the pleasure, o f the Inquisition, and was ordered to recite the seven penitential Psalms every week for three years. The recantation which Galilei was compelled to make, and to make in his bare shirt, is worth citing as a document in the history o f the GALILEO GALILEI Y< 37 between religion and science. Here it is slightly abridged, my knee before the honourable Inquisitor-General, I touch flips holy Gospel and give assurance that I believe, and always will vtpHhr^ what the Church recognizes and teaches as true.
A History of Science, Technology, and Philosophy in the 16th and 17th Centuries by A. Wolf, F. Dannemann, A. Armitage, Douglas McKie