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

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            <p type="main">
              <s>
                <pb xlink:href="040/01/191.jpg" pagenum="173"/>
              of the circle, as a point that was diſtant from the contaction one
                <lb/>
              palm, and the point that was diſtant half a palm, I likewiſe believe
                <lb/>
              would ſcarſe recede the fourth part of the diſtance of the ſecond:
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              fo that within an inch or two of the contact, the ſeparation of the
                <lb/>
              Tangent from the circumference is ſcarſe diſcernable.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>So that the receſſion of the project from the
                <lb/>
              rence of the precedent circular motion is very ſmall in the
                <lb/>
              ing?</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>Almoſt inſenſible.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Now tell me a little; the project, which from the
                <lb/>
              tion of the projicient receiveth an
                <emph type="italics"/>
              impetus
                <emph.end type="italics"/>
              of moving along the
                <lb/>
              Tangent in a right line, and that would keep unto the ſame, did
                <lb/>
              not its own weight depreſs it downwards, how long is it after the
                <lb/>
              ſeparation, ere it begin to decline downwards.</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>I believe that it beginneth preſently; for it not
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              ving any thing to uphold it, its proper gravity cannot but
                <lb/>
                <lb/>
                <arrow.to.target n="marg366"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg366"/>
                <emph type="italics"/>
              A grave project,
                <lb/>
              as ſoon as it is
                <lb/>
              parated from the
                <lb/>
              projicient begineth
                <lb/>
              to decline.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>So that, if that ſame ſtone, which being extruded from
                <lb/>
              that wheel turn'd about very faſt, had as great a natural
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              ſion of moving towards the centre of the ſaid wheel, as it hath to
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              move towards the centre of the Earth, it would be an eaſie
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              ter for it to return unto the wheel, or rather not to depart from it;
                <lb/>
              in regard that upon the begining of the ſeparation, the receſſion
                <lb/>
              ing ſo ſinall, by reaſon of the infinite acuteneſs of the angle of
                <lb/>
              contact, every very little of inclination that draweth it back
                <lb/>
              wards the centie of the wheel, would be ſufficient to retain it
                <lb/>
              on the rim or circumference.</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>I queſtion not, but that if one ſuppoſe that which
                <lb/>
              ther is, nor can be, to wit, that the inclination of thoſe grave
                <lb/>
              dies was to go towards the centre of the wheel, they would never
                <lb/>
              come to be extruded or ſhaken off.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>But I neither do, nor need to ſuppoſe that which is not;
                <lb/>
              for I will not deny but that the ſtones are extruded. </s>
              <s>Yet I ſpeak
                <lb/>
              this by way of ſuppoſition, to the end that you might grant me
                <lb/>
              the reſt. </s>
              <s>Now fancy to your ſelf, that the Earth is that great
                <lb/>
              wheel, which moved with ſo great velocity is to extrude the ſtones.
                <lb/>
              </s>
              <s>You could tell me very well even now, that the motion of
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              ction ought to be by that right line which toucheth the Earth in
                <lb/>
              the point of ſeparation: and this Tangent, how doth it notably
                <lb/>
              recede from the ſuperficies of the Terreſtrial Globe?</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>I believe, that in a thouſand yards, it will not recede
                <lb/>
              from the Earth an inch.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>And did you not ſay, that the project being drawn by
                <lb/>
              its own weight, declineth from the Tangent towards the centre of
                <lb/>
              the Earth?</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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