Galilei, Galileo, De Motu Antiquiora

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329 and the natural heaviness is being acquired, it will stand to reason that all the contrary force will finally be lost, and that the natural heaviness will be resumed, and that, therefore, the cause having been removed, the acceleration will cease. And yet I would not say that the whole contrary force is consumed because I may happen to think that whatever is always diminished must finally be annihilated (for I am not unaware that this is not necessary, as will be said below); but I will only say that it is consumed because experience seems to me to show this. {1}For, in the first place, if we look at something that is not at all heavy coming from on high, a ball of wool or a feather or some such thing, we will see that it is moved more slowly at the beginning, but that nevertheless, a little latter, it will observe a uniform motion. Now the reason why this appears more manifest in things that are less heavy is that, when these things begin to be moved, since they have an amount of the contrary force equal to their proper heaviness, and they themselves are not very heavy, hence, the contrary impressed force will also be small, and thus it will be consumed more swiftly; when it has been consumed, these things will be moved with a uniform motion: and since they are moved slowly, it will be easier to observe the uniformity of such a motion in them than in the case of those that go down very swiftly. A second experience can be taken from other alterative motions in which at the end the contrary quality is completely lost; as when, after being white-hot, iron becomes very cold, and all the heat is entirely annihilated. One must, therefore, judge in the same way in the case of the stone which from light becomes heavy, that it loses all of its extrinsic lightness; when this happens, the intensification of the speed will cease. Thirdly, it can be confirmed by both reason and experience, not only that motion is not always accelerated when a mobile has receded from a state of rest; but also that, if at the beginning of the motion a great force which impels it downward is impressed by an external mover, it too will be destroyed. And the reason is because then the heaviness of the mobile would have the effect of lightness, since the heaviness by itself free and simple would go down more slowly than when joined with an impetus; and thus the proper and natural slowness [of the mobile] in going down would resist

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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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