Galilei, Galileo, The systems of the world, 1661

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            <p type="main">
              <s>
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              ſpread amongſt the vulgar; and this with a diſcretion and ſubtlety
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              reſembling that of the prudent young man, that to be freed
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              from the importunity of his inquiſitive Mother or Wife, I know
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              not whether, who preſſed him to impart the ſecrets of the Senate,
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              contrived that ſtory, which afterwards brought her and many o­
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              ther women to be derided and laught at by the ſame Senate.</s>
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            <p type="margin">
              <s>
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              Plato
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              held that
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              humane under­
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              ſtanding partook
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              of divinity, becauſe
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              it understood num­
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              bers.
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              </s>
            </p>
            <p type="margin">
              <s>
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                <emph type="italics"/>
              The Myſtery of
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              Pythagorick
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              num­
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              bers fabulous.
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              </s>
            </p>
            <p type="margin">
              <s>
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              De Papyrio præ­
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              textato,
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              Gellius
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              I:
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              2. 3.</s>
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            <p type="main">
              <s>SIMPL. </s>
              <s>I will not be of the number of thoſe who are over curi­
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              ous about the
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              Pythagorick
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              myſteries; but adhering to the point
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              in hand; I reply, that the reaſons produced by
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              Ariſtotle
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              to prove
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              the dimenſions to be no more than three, ſeem to me conclu­
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              dent, and I believe, That had there been any more evident demon­
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              ſtrations thereof,
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              Ariſtotle
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              would not have omitted them.</s>
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            <p type="main">
              <s>SAGR. </s>
              <s>Put in at leaſt, if he had known, or remembred any more.
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              </s>
              <s>But you
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              Salviatus
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              would do me a great pleaſure to alledge unto
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              me ſome arguments that may be evident, and clear enough for me
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              to comprehend.</s>
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            <p type="main">
              <s>SALV. </s>
              <s>I will; and they ſhall be ſuch as are not onely to be ap­
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              prehended by you, but even by
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              Simplicius
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              himſelf: nor onely
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              to be comprehended, but are alſo already known, although hap­
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              ly unobſerved; and for the more eaſie underſtanding thereof,
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              we will take this Pen and Ink, which I ſee already prepared for
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                <arrow.to.target n="marg13"/>
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              ſuch occaſions, and deſcribe a few figures. </s>
              <s>And firſt we will note
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              [Fig. </s>
              <s>1.
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              at the end of this Dialog.
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              ] theſe two points AB, and draw
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              from the one to the other the curved lines, ACB, and ADB, and the
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              right line A B, I demand of you which of them, in your mind, is
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              that which determines the diſtance between the terms AB, & why?</s>
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            <p type="margin">
              <s>
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                <emph type="italics"/>
              A Geometrical de­
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              monſtration of the
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              triple dimenſion.
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              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              S
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              AGR. </s>
              <s>I ſhould ſay the right line, and not the crooked, as well
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              becauſe the right is ſhorter, as becauſe it is one, ſole, and deter­
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              minate, whereas the others are infinit, unequal, and longer; and my
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              determination is grounded upon that, That it is one, and certain.</s>
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            <p type="main">
              <s>SALV. </s>
              <s>We have then the right line to determine the length be­
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              tween the two terms; let us add another right line and parallel to
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              AB, which let be CD, [
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              Fig.
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              2.] ſo that there is put between them a
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              ſuperficies, of which I deſire you to aſſign me the breadth, therefore
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              departing from the point A, tell me how, and which way you will
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              go, to end in the line C D, and ſo to point me out the breadth com­
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              prehended between thoſe lines; let me know whether you will
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              terminate it according to the quantity of the curved line A E, or
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              the right line A F, or any other.</s>
            </p>
            <p type="main">
              <s>SIMPL. </s>
              <s>According to the right A F, and not according to the
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              crooked, that being already excluded from ſuch an uſe.</s>
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            <p type="main">
              <s>SAGR. </s>
              <s>But I would take neither of them, ſeeing the right line
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              A F runs obliquely; But would draw a line, perpendicular to C
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              D, for this ſhould ſeem to me the ſhorteſt, and the propereſt of
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              infinite that are greater, and unequal to one another, which may be </s>
            </p>
          </chap>
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