Galilei, Galileo, The systems of the world, 1661

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="065/01/209.jpg" pagenum="201"/>
              588000000 yards (for ſo many are in 56 diameters of the Earth)
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              be paſſed? </s>
              <s>The rule for this work is, that the third number muſt
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              be multiplied by the ſquare of the ſecond, of which doth come
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              14700000000, which ought to be divided by the firſt, that is, by
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              100, and the root ſquare of the quotient, that is, 12124 is the
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              number ſought, namely 12124
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              min. </s>
              <s>ſecun.
                <emph.end type="italics"/>
              of an hour, which are
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              3 hours, 22
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              min. </s>
              <s>prim.
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              and 4 ſeconds.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>I have ſeen the working, but I know nothing of the
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              reaſon for ſo working, nor do I now think it a time to ask it.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Yet I will give it, though you do not ask it, becauſe it
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              is very eaſie. </s>
              <s>Let us mark theſe three numbers with the Letters
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              A firſt, B ſecond, C
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                <figure id="id.065.01.209.1.jpg" xlink:href="065/01/209/1.jpg" number="8"/>
                <lb/>
              third. </s>
              <s>A and C are the
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              numbers of the ſpaces,
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              B is the number of the
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              time; the fourth number
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              is ſought, of the time
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              alſo. </s>
              <s>And becauſe we
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              know, that look what
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              proportion the ſpace A,
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              hath to the ſpuace C, the
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              ſame proportion ſhall the
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              ſquare of the time B
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              have to the ſqare of the
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              time, which is ſought.
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              </s>
              <s>Therefore by the Golden Rule, let the number C be
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              plied by the ſquare of the number B, and let the product be
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              vided by the number A, and the quotient ſhall be the ſquare of
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              the number ſought, and its ſquare root ſhall be the number it ſelf
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              that is ſought. </s>
              <s>Now you ſee how eaſie it is to be underſtood.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>So are all truths, when once they are found out, but the
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              difficulty lyeth in finding them. </s>
              <s>I very well apprehend it, and kindly
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              thank you. </s>
              <s>And if there remain any other curioſity touching this
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              point, I pray you let us hear it; for if I may ſpeak my mind, I
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              will with the favour of
                <emph type="italics"/>
              Simplicius,
                <emph.end type="italics"/>
              that from your diſcourſes I
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              wayes learn ſome new motion, but from thoſe of his
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              phers, I do not remember that I have learn't any thing of
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              ment.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>There might be much more ſaid touching theſe local
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              motions; but according to agreement, we will reſerve it to a
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              ticular conference, and for the preſent I will ſpeak ſomething
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              touching the Author named by
                <emph type="italics"/>
              Simplicius,
                <emph.end type="italics"/>
              who thinketh he hath
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              given a great advantage to the adverſe party in granting that, that
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              Canon bullet in falling from the concave of the Moon may
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              ſcend with a velocity equal to the velocity wherewith it would </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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