Galilei, Galileo, Mechanics, 1665

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poſſible that the Weight A ſhould be raiſed to D, although ſlow­
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ly, unleſſe the other Weight B do move to E ſwiftly, it will not
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be ſtrange, or inconſiſtent with the Order of Nature, that the
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Velocity of the Motion of the Grave B, do compenſate the greater
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Reſiſtance of the Weight A, ſo long as it moveth ſlowly to D,
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and the other deſcendeth ſwiftly to E, and ſo on the contrary,
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the Weight A being placed in the point D, and the other B in
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the point E, it will not be unreaſonable that that falling leaſurely
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to A, ſhould be able to raiſe the other haſtily to B, recovering by
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its Gravity what it had loſt by it's Tardity of Motion. </s>
<s>And by
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this Diſcourſe we may come to know how the Velocity of the
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Motion is able to encreaſe Moment in the Moveable, according to
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that ſame proportion by which the ſaid Velocity of the Motion is
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augmented.</s>
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<s>There is alſo another thing, before we proceed any farther, to
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be confidered; and this is touching the Diſtances, whereat, or
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wherein Weights do hang: for it much imports how we are to
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underſtand Diſtances equall, and unequall; and, in ſum, in what
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manner they ought to be mea­
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ſured: for that A B being the
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Right Line, and two equall
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Weights being ſuſpended at
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the very ends thereof, the point
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C being taken in the midſt of
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the ſaid Line, there ſhall be an
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Equilibrium
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upon the ſame:
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And the reaſon is for that the
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Diſtance C B is equal to C A.
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<s>But if elevating the Line C B, moving it about the point C, it
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ſhall be transferred into CD, ſo that the Ballance ſtand according
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to the two Lines A C, and C D, the two equall Weights hanging
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at the Terms A and D, ſhall no longer weigh equally on that
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point C, becauſe the diſtance of the Weight placed in D, is made
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leſſe then it was when it hanged in B. </s>
<s>For if we confider the Lines,
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along [or by] which the ſaid Graves make their Impulſe, and
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would deſcend, in caſe they were freely moved, there is no doubt
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but that they would make or deſcribe the Lines A G, D F, B H:
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Therefore the Weight hanging on the point D, maketh it's Moment
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and
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Impetus
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according to the Line D F: but when it hanged in
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Impetus
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in the Line B H: and becauſe the Line D F is
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nearer to the Fulciment C, then is the Line B H Therefore we
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are to underſtand that the Weights hanging on the points A and D,
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are not equi-diſtant from the point C, as they be when they are
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conſtituted according to their Right Line A C B: And laſtly,
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we are to take notice, that the Diſtance is to be meaſured by </s>
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