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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/362.jpg" pagenum="342"/>
              greſſe I make is not
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              in plano,
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              but about the circumference of the
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              Terreſtrial Globe, which at every ſtep changeth inclination in
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              reſpect to Heaven, and conſequently maketh the ſame change
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              in the Inſtrument which is erected upon the ſame.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>You ſay very well: And you know withal, that by
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              how much the bigger that circle ſhall be upon which you move,
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              ſo many more miles you are to walk, to make the ſaid ſtar to
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              riſe that ſame degree higher; and that ſinally if the motion
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              wards the ſtar ſhould be in a right line, you ought to move yet
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              farther, than if it were about the circumference of never ſo
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              great a
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                <arrow.to.target n="marg646"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg646"/>
                <emph type="italics"/>
              The right line,
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              and circumference
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              of an infinite
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              cle, are the ſame
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              thing.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SALV. True: For in ſhort the circumference of an infinite
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              circle, and a right line are the ſame thing.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>But this I do not underſtand, nor as I believe, doth
                <lb/>
                <emph type="italics"/>
              Simplicius
                <emph.end type="italics"/>
              apprehend the ſame; and it muſt needs be concealed
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              from us under ſome miſtery, for we know that
                <emph type="italics"/>
              Salviatus
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              never
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              ſpeaks at random, nor propoſeth any Paradox, which doth not
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              break forth into ſome conceit, not trivial in the leaſt. </s>
              <s>Therefore
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              in due time and place I will put you in mind to demonſtrate this,
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              that the right line is the ſame with the circumference of an
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              nite circle, but at preſent I am unwilling that we ſhould
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              rupt the diſcourſe in hand. </s>
              <s>Returning then to the caſe, I
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              poſe to the conſideration of
                <emph type="italics"/>
              Simplicius,
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              how the acceſſion and
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              receſſion that the Earth makes from the ſaid fixed ſtar which is
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              neer the Pole can be made as it were by a right line, for ſuch is
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              the Diameter of the Grand Orb, ſo that the attempting to
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              gulate the elevation and depreſſion of the Polar ſtar by the
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              tion along the ſaid Diameter, as if it were by the motion about
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              the little circle of the Earth, is a great argument of but little
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              judgment.</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>But we continue ſtill unſatisfied, in regard that the
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              ſaid ſmall mutation that ſhould be therein, would not be
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              ned; and if this be
                <emph type="italics"/>
              null,
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              then muſt the annual motion about
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              the Grand Orb aſcribed to the Earth, be
                <emph type="italics"/>
              null
                <emph.end type="italics"/>
              alſo.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>Here now I give
                <emph type="italics"/>
              Salviatus
                <emph.end type="italics"/>
              leave to go on, who as I
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              believe will not overpaſſe the elevation and depreſſion of the
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              Polar ſtar or any other of thoſe that are fixed as
                <emph type="italics"/>
              null,
                <emph.end type="italics"/>
              although
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              not diſcovered by any one, and affirmed by
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              Copernicus
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              himſelf
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              to be, I will not ſay
                <emph type="italics"/>
              null,
                <emph.end type="italics"/>
              but unobſervable by reaſon of its
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              minuity.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>I have already ſaid above, that I do not think that </s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg647"/>
                <lb/>
              any one did ever ſet himſelf to obſerve, whether in different times
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              of the year there is any mutation to be ſeen in the fixed ſtars, that
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              may have a dependance on the annual motion of the Earth, and
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              added withal, that I doubted leaſt haply ſome might never have </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>