A General History of Mathematics From the Earliest Times to the Middle of the Ei
A General History of Mathematics From the Earliest Times to the Middle of the Ei
Charles Bossut
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This is the new problem, which Galileo solved ; and he was led to it by one of those simple reflections, which may enter into any mind, but turns to account only in the mind of genius. Since ajl bodies are heavy, said Galileo, and into whatever number of parts we divide any mass, whe- ther an ingot of gold, or a block of marble, all these parts are themselves heavy bodies, it follows, that the total weight of the mass is proportional to the number of material atoms, of which it is composed. Now... the weight being thus a power always uniform in quantity, and it's action never undergoing any in- terruption, it must in consequence be continually giving equal impulses to a body, in every equal and successive instant of time. , If the body be stopped by any obstacle ; as, for example, if it be placed on a horizontal table: the impulses' of the weight, as they are incessantly renewed, are incessantly destroyed by the resistance of the table. But if the body fall freely, these impulses are incessantly accumulating, and remain in the body without alteration, the re- sistance of the air alone being deducted: whence it R 3 follows, 245 follows, that the motion must be accelerated by equal degrees.
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