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

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="040/01/843.jpg" pagenum="150"/>
            <p type="head">
              <s>LEMMA.</s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              That the Moments or Velocities of the ſame Moveable are different
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              upon different Inclinations of Planes, and the greateſt is by the
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              Line elevated perpendicularly above the Horizon, and by the
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              others inclined, the ſaid Velocity diminiſheth according as they
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              more and more depart from Perpendicularity, that is, as they in­
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              cline more obliquely: ſo that the Impetus, Talent, Energy, or, we
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              may ſay, Moment of deſcending is diminiſhed in the Moveable by
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              the ſubjected Plane, upon which the ſaid Moveable lyeth and
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              deſcendeth.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>And the better to expreſs my ſelf, let the Line A B be perpen­
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              dicularly erected upon the Horizon A C: then ſuppoſe the
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              ſame to be declined in ſundry Inclinations towards the Horizon, as
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              in A D, A E, A F,
                <emph type="italics"/>
              &c.
                <emph.end type="italics"/>
              I ſay, that the greateſt and total
                <emph type="italics"/>
              Impetus
                <emph.end type="italics"/>
                <lb/>
              of the Grave Body in deſcending is along the Perpendicular B A,
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              and leſs than that along D A,
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                <figure id="id.040.01.843.1.jpg" xlink:href="040/01/843/1.jpg" number="87"/>
                <lb/>
              and yet leſs along E A; and
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              ſucceſſively diminiſhing along
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              the more inclined F
                <emph type="italics"/>
              A,
                <emph.end type="italics"/>
              and fi­
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              nally is wholly extinct in the
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              Horizontal C
                <emph type="italics"/>
              A,
                <emph.end type="italics"/>
              where the
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              Moveable is indifferent either
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              to Motion or Reſt, and hath not
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              of it ſelf any Inclination to
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              move one way or other, nor yet
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              any Reſiſtance to its being mo­
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              ved: for as it is impoſſi­
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              ble that a Grave Body, or a
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              Compound thereof ſhould move naturally upwards, receding from
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              the Common Center, towards which all Grave Matters conſpire
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              to go, ſo it is impoſſible that it do ſpontaneouſly move, unleſs
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              with that Motion its particular Center of Gravity do acquire Proxi­
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              mity to the ſaid Common Center: ſo that upon the Horizontal
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              which here is underſtood to be a Superficies equidiſtant from the
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              ſaid Center, and therefore altogether void of Inclination, the
                <emph type="italics"/>
              Im­
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              petus
                <emph.end type="italics"/>
              or Moment of that ſame Moveable ſhall be nothing at all.
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              </s>
              <s>Having underſtood this mutation of
                <emph type="italics"/>
              Impetus,
                <emph.end type="italics"/>
              I am to explain that
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              which, in an old Treatiſe of the Mechanicks, written heretofore
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              in
                <emph type="italics"/>
              Padona
                <emph.end type="italics"/>
              by our
                <emph type="italics"/>
              Academick,
                <emph.end type="italics"/>
              only for the uſe of his Scholars, was
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              diffuſely and demonſtratively proved, upon the occaſion of con­
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              ſidering the Original and Nature of the admirable Inſtrument cal­
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              led the Screw, and it is, With what proportion that mutation of </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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