A History of Science, Technology, and Philosophy in the 16th by A. Wolf, F. Dannemann, A. Armitage, Douglas McKie

By A. Wolf, F. Dannemann, A. Armitage, Douglas McKie

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Since each and every instant o f tim e in the tim e -in terval AB has its corresponding point on the line AB, from which points parallels drawn in and limited by the triangle AEB represent the increasing values o f the growing velocity, and since parallels contained within the rectangle represent the values of a speed which is not increasing but constant, it appears, in like manner, that the momenta \momentd\ assumed by the moving body may also be represented, in the case o f the accelerated motion, by the increasing parallels o f the triangle AEB, and, in the case of the uniform motion, by the parallels o f the rectangle GB.

He suggested that notes are felt to be con­ sonant when the vibrations which produce them stimulate the drum of the ear with a certain rhythmic regularity. On the other hand, notes are felt to be dissonant when they are produced by vibrations that are not rhythmic, and therefore act in an irregular and disturbing manner upon the drum of the ear. LIGHT AND MAGNETISM Apart from his share in the construction of the telescope, Galilei did not devote much attention to the study of light. It is noteworthy that he assumed that light travels with a finite velocity, and that he actually carried out some experiments with Iight-signals in order to determine this.

17). Two forces, P and Q,, are acting at right angles on the arms of the lever, ACB, so that its equilibrium is disturbed, and the arms o f the lever suffer respectively the displacements AD and BE. For small angles these lines, AD and BE, may be regarded as straight lines at right angles to ACB. We may say, then, that when equilibrium is still maintained the forces P and Q, are related to each other inversely as their displacements, that is to say, P : :: BE : AD. In this way merely implicit static relations are made explicit.

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