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rue and scientific principles must be established: what constitutes a shaded body, what constitutes a primary shade, a derivative shade, what constitutes light: that is, darkness, light, colour, size, shape, position, distance, propinquity, motion, rest, which are comprehended by the mind only, and without manual labour. And this is the science of painting which remains in the mind of those who meditate on it, from which {146} issues the work in due time, and is infinitely superior to the aforesaid contemplation or science. [Sidenote: Mechanics] 10. Mechanics are the paradise of scientific mathematics, because with them we arrive at the fruits of mathematics. [Sidenote: Mechanics and Experience] 11. Experience is indispensable for the making of any instrument. 12. Proportion is not only to be found in figures and measurements, but also in sound, weight, time and position, and in whatever power which exists. [Sidenote: Reason and Experience] 13. The power of the projecting force increases in proportion as the object projected is smaller; the acceleration of the motion increases to infinity proportionately to this diminution. It would follow that an atom would be almost as rapid as the imagination or the eye, which in a moment attains to the height of the stars, and consequently its voyage would be infinite, because the thing which can be infinitely diminished would have an infinite velocity and would travel on an infinite course (because every continuous quantity is divisible to infinity). And this opinion is {147} condemned by reason and consequently by experience. Thus, you who observe rely not on authors who have merely by their imagination wished to be interpreters between nature and man, but on those alone who have applied their minds not to the hints of nature but to the results of their experience. And you must realize the deceptiveness of experiments; because those which often appear to be one and the same are often different, as is shown here. [Sidenote: Effects correspond to the Force of their Cause] 14. A spherical body which possesses a dense and resisting superficies will move as much in the rebound resulting from the resistance of a smooth and solid plane as it would if you threw it freely through the air, if the force applied be equal in both cases. Oh, admirable justice of thine, thou first mover! thou hast not permitted that any tone should fail to pro
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