Galilei, Galileo
,
Mechanics
,
1665
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[Figure 11]
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[Figure 12]
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[Figure 13]
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[Figure 14]
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[Figure 15]
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[Figure 23]
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[Figure 27]
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[Figure 28]
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[Figure 29]
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Body all at once, which would not have been moved by the ſame
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Force, in the ſame Time, with an equall Motion, ſave onely in
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pieces, without the help of the Leaver.</
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If of Iron, it is
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called a Crow,
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if of wood, a Bar
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or Hand-ſpike.</
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Or Space.</
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Of the
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CAPSTEN
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and of the
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CRANE.</
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>The Inſtruments which we are now about to declare, have
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immediate dependence upon the Leaver, nay, are no other
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but a perpetual Vectis or Leaver. </
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>For if we ſhall ſuppoſe the
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Leaver B A C to be ſuſtained in
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the point A, and the Weight G to
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hang at the point B, the Force be
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ing placed in C; It is manifeſt,
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that transferring the Leaver unto
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the points D A E, the Weight G
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doth alter according to the Di
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ſtance B D, but cannot much far
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ther continue to raiſe it, ſo that
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if it were required to elevate it yet
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higher, it would be neceſſary to
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ſtay it by ſome other Fulciment
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in this Poſition, and to remit or return the Leaver to its former Po
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ſition B A C, and ſuſpending the Weight anew thereat, to raiſe it
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once again to the like height B D; and in this manner repeating
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the work, many times one ſhall come with an interrupted Motion
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to effect the drawing up of the Weight, which for many reſpects
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will not prove very beneficial: whereupon this difficulty hath bin
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thought on, and remedied, by finding out a way how to unite to
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gether almoſt infinite Leavers, perpetuating the operation without
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any interruption; and this hath been done by framing a Wheel
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about the Center A, according to the Semidiameter A C, and an
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Axis or Nave, about the ſame Center, of which let the Line A B
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be the Semidiameter; and all this of very tough wood, or of other
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ſtrong and ſolid matter, afterwards ſuſtaining the whole Machine
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upon a Gudgeon or Pin of Iron planted in the point A, which
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paſſeth quite thorow, where it is held faſt by two fixed Fulciments,
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and the Rope D B G, at which the weight G hangeth, being be-laid
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or wound about the Axis or Barrell, and applying another Rope
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about the greater Wheel, at which let the other Grave I be hang
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ed: It is manifeſt, that the length C A having to the other A B
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the ſelf-ſame proportion that the Weight G hath to the Weight I,
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it may ſuſtain the Grave G, and with any little Moment more ſhall
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move it: and becauſe the Axis turning round together with the
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Wheel, the Ropes that ſuſtain the Weights are alwaies pendent and
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contingent with the extream Circumferences of that Wheel and </
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