Galilei, Galileo, De Motu Antiquiora

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335 for which less heavy things must be moved more swiftly is not yet apparent. This objection is surely of great importance; but nevertheless it is not so powerful that it can obscure the splendor of the truth. Now in order that we may do away with it, it must be noted that the contrary quality in a mobile is not weakened because it is assailed by the heaviness of the mobile; for the heaviness cannot accomplish this, since in a mobile filled with the contrary quality it is entirely nullified; but it is by itself that that quality is weakened and leaves the mobile: as is also the case when white-hot iron grows cold: the heat in it weakens not because contrary coldness fights against it; for there is no cold in the iron at that time; but by its own nature it recedes from the iron bit by bit. Secondly, it must be noted that the contrary quality recedes more easily and the more swiftly, the lighter the mobile in which it has been impressed: this can be confirmed by many examples. Thus, if from the same cannon at the same time two acorn-sized balls, one of lead, the other of wood, are shot, then, beyond any doubt, the same force will be impressed in both; yet it will be kept more penetratingly and for a longer time in the lead than in the wood: an indication of this is the fact that the lead will be moved in violent motion farther and for a longer time. And the same thing is again evident, if someone projects, with the same hand, at the same moment, together, 2 pieces, one of wood, the other of iron; the iron or lead will be moved on a longer distance: which presumably indicates that, the motive force hangs on more penetratingly in the iron and is kept for a longer time in it than in the wood. {1}And finally, it is manifest in all cases that all contrary qualities are kept longer, the heavier and the denser and the more contrary to them is the material in which they have been impressed. For if wood and lead are heated, in such a way that both of them are equally hot at the beginning, nevertheless it will be kept longer in the lead, even though the greater coldness of the lead is more opposed to the heat than the modest coldness of the wood. And this is manifestly evident in air, which, when it has been warmed directly and strongly by fire, if the fire is removed or covered with ashes, immediatly becomes cold: if on the other hand water is warmed by fire, I would not say to the point of boiling, but only so that it is as warm

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Searching "tower" (fulltextMorph)
1. Page 16, Sentence 4:How ridiculous this opinion is, is clearer than daylight: for who will ever believe that if, for example, two lead balls were released from the sphere of the Moon, one being a hundred times larger than the other, if the larger took an hour to come to Earth, the smaller would use in its motion a space of time of a hundred hours? or, if from a high tower {1}, two stones, one being double the size of the other, were thrown at the same moment, that, when the smaller was at mid-tower, the larger would already have reached the ground?
2. Page 24, Sentence 18:For if one takes two different mobiles, which have such properties that one is carried twice as swiftly as the other, and then releases them from the top of a tower, it will certainly not hit the ground faster, twice as swiftly: what is more, if one makes the observation, the one which is lighter at the beginning of the motion will precede the heavier and will be faster.
3. Page 68, Sentence 9:But this way of thinking is not only false, but ridiculous: for, if it were true, it would follow that a stone going down from a very high tower would be moved more slowly at mid-tower, than if the same stone were falling to the ground from a very low place, and for this reason the mobile [falling from a greater height] would also make a lesser impact.
4. Page 76, Sentence 3:There is a fourth well-known argument concerning a large stone going down from a tower, which will not be sufficiently blocked by a pebble impelled upward by force, so as to permit the pebble to be at rest for any time: hence surely the pebble will not be at rest at the ultimate point of its upward motion, and Aristotle notwithstanding, it will make use of the ultimate point for the two limits, namely of upward motion and of downward motion; and the ultimate instant is taken twice, namely, for the end of one time and for the beginning of the other.
5. Page 79, Sentence 4:Now in the case of heavier things, since a great amount of contrary force must be consumed in their descent, a greater time will be required for it to be consumed; in which time, since they are carried swiftly, they will descend a great distance: since we cannot avail ourselves of such great distances from which to release heavy things, it is not astonishing if the stone, released from merely the height of a tower, will seem to accelerate all the way to the ground; for this short distance and short time of motion are not sufficient to destroy the whole contrary force.
6. Page 84, Sentence 6:Yet experience shows the contrary: for it is true that wood at the beginning of its motion is carried more speedily than lead; but a little later the motion of lead is so accelerated that it leaves the wood behind, and, if they are released from a high tower, the lead gets ahead of it by a large distance: and I have often put this to the test. {1}
7. Page 134, Sentence 6:But if we go up a very high tower, on the top of which there is a bathtub, the same thing will happen to us when in it as if we were to go into the sea: for we will not be weighed down by the water, even though the latter, having air underneath it, is outside its proper place.
8. Page 150, Sentence 12:For if a stone goes down from a high tower, its swiftness seems always to be increased: yet this happens because the stone, in comparison /// with the medium through which it is carried, namely air, is very heavy; and since it goes away with an amount of impressed force as great as its heaviness, it assuredly goes away with a great impressed force, which the motion from the height of a tower is not sufficient to consume, so that the swiftness is always intensified all through the height of a single tower.

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