Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

Table of figures

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            <p type="main">
              <s>
                <pb xlink:href="040/01/1014.jpg" pagenum="320"/>
              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.</s>
            </p>
            <p type="main">
              <s>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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                <figure id="id.040.01.1014.1.jpg" xlink:href="040/01/1014/1.jpg" number="216"/>
                <lb/>
              Space, with that of Time, or of the Ve­
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              locity, ſo that, for Example, in the
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                <emph type="italics"/>
              L
                <emph.end type="italics"/>
              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
                <emph type="italics"/>
              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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                <figure id="id.040.01.1014.2.jpg" xlink:href="040/01/1014/2.jpg" number="217"/>
                <lb/>
              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.</s>
            </p>
            <p type="main">
              <s>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.</s>
            </p>
            <p type="main">
              <s>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. </s>
              <s>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. </s>
              <s>Now becauſe I would not under take it, </s>
            </p>
          </chap>
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