Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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this place ſpeak of all ſuch as I ſuſpect, which for the moſt part
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ariſe onely from this, that men are before-hand over-knowing in
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the Mechanicks; that is to ſay, that they are pre-occupied with
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Principles that others prove touching theſe matters, which not being
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abſolutely true, they deceive the more, the more true they ſeem to
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be.</
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>The firſt thing wherewith a man may be pre-occupied in this
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buſineſſe, is, that they many times confound the Conſideration of
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Space, with that of Time, or of the Ve
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locity, ſo that, for Example, in the
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L
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eaver, or (which is the ſame) the Ba
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llance A B C D having ſuppoſed that
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the Arm A B is double to B C, and the
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Weight in C double to the Weight
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in A, and alſo that they are in
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Equilibrium,
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inſtead of ſaying, that
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that which cauſeth this
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Equilibrium
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is, that if the Weight C did
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ſuſtain, or was raiſed up by the Weight A, it did not paſſe more
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than half ſo much Space as it, they ſay that it did move ſlower by
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the half: which is a fault ſo much the more prejudicial, in that it is
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very difficult to be known: for it is not the difference of
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the Velocity that is the cauſe why theſe Weights are to be
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one double to the other, but the difference of the Space, as
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appeareth by this, that to raiſe, for Example, the Weight F
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with the hand unto G, it is not neceſſary to employ a Force
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that is preciſely double to that which one ſhould have
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therein employed the firſt bout, to raiſe it twice as quick
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ly, but it is requiſite to employ therein either more or leſs
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than the double, according to the different proportion that
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this Velocity may have unto the Cauſes that reſiſt it.</
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>Inſtead of requiring a Force juſt double for the raiſing of it with
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the ſame Velocity twice as high, unto H, I ſay that it is juſt dou
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ble in counting (as two and two make four) that one and one make
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two, for it is requiſite to employ a certain quantity of this Force
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to raiſe the Weight from F to G, and again alſo, as much more of
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the ſame Force to raiſe it from G to H.</
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>For if I had had a mind to have joyned the Conſideration of the
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Velocity with that of the Space, it had been neceſſary to have
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aſſigned three Dimenſions to the Force, whereas I have aſſigned it
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no more but two, on purpoſe to exclude it. </
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>And if I have teſtified
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that there is ſo little of worth in any part of this ſmall Tract of the
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Staticks, yet I de ſire that men ſhould know, that there is more in
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this alone than in all the reſt: for it's impoſſible to ſay any thing
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that is good and ſolid touching Velocity, without having rightly
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explained what we are to underſtand by Gravity, as alſo the whole
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Syſteme of the World. </
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>Now becauſe I would not under take it, </
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