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

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            <p type="main">
              <s>
                <pb xlink:href="040/01/1021.jpg" pagenum="327"/>
              their parts do draw by Lines of Direction, which all concur in one
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              and the ſame Point; and Forces and their parts may be underſtood
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              to draw in ſuch ſort that all the Lines of Direction are parallel to
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              each other.</s>
            </p>
            <p type="head">
              <s>AXIOM II.</s>
            </p>
            <p type="main">
              <s>In the ſecond place, we ſuppoſe that a Force and its Line of Di­
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              rection abiding alwaies in the ſame poſition, as alſo the Center
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              of the Ballance or Leaver, be the Arm what it will that is drawn
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              from the Center of the Ballance to the Line of Direction, the
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              Force drawing alwaies in the ſame faſhion, will alwaies produce
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              the ſame Effect.</s>
            </p>
            <p type="main">
              <s>As, in this ſecond Figure, the Center of the Ballance being A,
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              the Force B, and the Line of Direction
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                <figure id="id.040.01.1021.1.jpg" xlink:href="040/01/1021/1.jpg" number="223"/>
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              B
                <emph type="italics"/>
              F
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              prolonged, as occaſion ſhall re­
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              quire, in which the Arms A G, A C, and
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              A
                <emph type="italics"/>
              F
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              do determine, in this poſition let
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              the Line B
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              be faſtned to the Arm
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              A
                <emph type="italics"/>
              F,
                <emph.end type="italics"/>
              or A C, or to another Arm drawn
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              from the Center A to the Line of Di­
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              rection ^{*} B
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              : we ſuppoſe that this
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                <arrow.to.target n="marg1125"/>
                <lb/>
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              orce B ſhall alwaies work the ſame
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              Effect upon the Ballance. </s>
              <s>And if
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              drawing by the Arm A C it make an
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                <emph type="italics"/>
              Equilibrium
                <emph.end type="italics"/>
              with the
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              orce
                <emph type="italics"/>
              D
                <emph.end type="italics"/>
              drawing by the
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              rm
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              E, when
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              ever it ſhall draw by the
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              rms
                <emph type="italics"/>
              A F
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              or
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              G, it ſhall likewiſe make
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              an
                <emph type="italics"/>
              Equilibrium
                <emph.end type="italics"/>
              with the
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              orce D drawing by the
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              rm
                <emph type="italics"/>
              A E.
                <emph.end type="italics"/>
              This
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              Principle although it be not expreſly found in
                <emph type="italics"/>
              A
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              uthors, yet it is
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              tacitly ſuppoſed by all thoſe that have writ on this
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              rgument, and
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              Experience conſtantly confirmeth it.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1125"/>
              * In the Original
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              it is writ, but by
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              the miſtake of
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              the Tranſcriber,
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                <emph type="italics"/>
              a la ligue de
                <emph.end type="italics"/>
              di­
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              rection A F.</s>
            </p>
            <p type="head">
              <s>AXIOM III.</s>
            </p>
            <p type="main">
              <s>I
                <emph type="italics"/>
              f
                <emph.end type="italics"/>
              the Arms of a Ballance or Leaver are directly placed the one to
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              the other, and that being equal they ſuſtain equal
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              orces, of which
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              the Angles of Direction are Right An­
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                <figure id="id.040.01.1021.2.jpg" xlink:href="040/01/1021/2.jpg" number="224"/>
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              gles, theſe
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              orces do alwaies weigh
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              equally upon the Center of the Bal­
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              lance, whether that they be near to the
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              ſame Center, or far diſtant, or both
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              conjoyned in the Center it ſelf; as in
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              this
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              igure the Ballance being E D,
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              the Center A, the equal Arms A D
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              and
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              E, let us ſuſtain equal
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              orces H and I, of which the
                <emph type="italics"/>
              A
                <emph.end type="italics"/>
              ngles </s>
            </p>
          </chap>
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