Galilei, Galileo, The systems of the world, 1661

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="065/01/073.jpg" pagenum="67"/>
              go accompanied with thoſe illuminating beams of the Sun.</s>
            </p>
            <p type="main">
              <s>SIMPL. </s>
              <s>This is true, without any contradiction.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>But when the Moon is oppoſite to the Sun, what
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              ference is there between the tract of the rayes of your ſight, and
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              that motion which the Suns rayes make?</s>
            </p>
            <p type="main">
              <s>SIMPL. </s>
              <s>Now I underſtand you; for you would ſay, that the
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              rayes of the ſight and thoſe of the Sun, moving by the ſame lines,
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              we cannot perceive any of the obſcure valleys of the Moon. </s>
              <s>Be
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              pleaſed to change this your opinion, that I have either ſimulation
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              or diſſimulation in me; for I proteſt unto you, as I am a
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              man, that I did not gueſſe at this ſolution, nor ſhould I have
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              thought upon it, without your help, or without long ſtudy.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>The reſolutions, which between you two have been
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              alledged touching this laſt doubt, hath, to ſpeak the truth,
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              ed me alſo. </s>
              <s>But at the ſame time this conſideration of the
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              fible rayes accompanying the rayes of the Sun, hath begotten in me
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              another ſcruple, about the other part, but I know not whether I
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              can expreſſe it right, or no: for it but juſt now comming into my
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              mind, I have not yet methodized it to my mind: but let us ſee if
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              we can, all together, make it intelligible. </s>
              <s>There is no queſtion,
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              but that the parts towards the circumference of that poliſh't, but not
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              burniſh't Hemiſphere, which is illuminated by the Sun, receiving the
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              rayes obliquely, receive much fewer thereof, than the
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              moſt parts, which receive them directly. </s>
              <s>And its poſſible, that a
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              tract or ſpace of
                <emph type="italics"/>
              v. </s>
              <s>g.
                <emph.end type="italics"/>
              twenty degrees in breadth, and which is
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              wards the extremity of the Hemiſphere, may not receive more rays
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              than another towards the middle parts, of but four degree broad:
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              ſo that that doubtleſs will be much more obſcure than this; and
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              ſuch it will appear to whoever ſhall behold them both in the face,
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              or (as I may ſay) in their full magnitude. </s>
              <s>But if the eye of the
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              beholder were conſtituted in ſuch a place, that the breadth of the
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              twenty degrees of the obſcure ſpace, appeared not to it longer
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              than one of four degrees, placed in the midſt of the Hemiſphere,
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              I hold it not impoſſible for it to appear to the ſaid beholder
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              qually clear and lucid with the other; becauſe, finally, between
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              two equal angles, to wit, of four degrees apiece, there come to
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              the eye the reflections of two equal numbers of rayes: namely,
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              thoſe which are reflected from the middlemoſt ſpace, four degrees
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              in breadth, and thoſe reflected from the other of twenty degrees,
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              but ſeen by compreſſion, under the quantity of four degrees: and
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              ſuch a ſituation ſhall the eye obtain, when it is placed between the
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              ſaid Hemiſphere, and the body which illuminates it; for then the
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              ſight and rayes move in the ſame lines. </s>
              <s>It ſeemeth not impoſſible
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              therefore, but that the Moon may be of a very equal ſuperficies;
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              and that nevertheleſſe, it may appear when it is at the full, no leſs </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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