Galilei, Galileo, Mechanics, 1665

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              <s>
                <pb xlink:href="070/01/008.jpg" pagenum="278"/>
              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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                <figure id="id.070.01.008.1.jpg" xlink:href="070/01/008/1.jpg"/>
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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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                <emph type="italics"/>
              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>
              <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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              B, it made
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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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