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

List of thumbnails

< >
181
181 		182
182
183
183 		184
184
185
185 		186
186
187
187 		188
188
189
189 		190
190
< >
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/188.jpg" pagenum="170"/>
              offer upon ſome other day: but I would not have
                <emph type="italics"/>
              Sagredus
                <emph.end type="italics"/>
                <lb/>
              fended at this digreſſion.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>I am rather very much pleaſed with it, for that I
                <lb/>
              member that when I ſtudied Logick, I could never comprehend that
                <lb/>
              ſo much cry'd up and moſt potent demonſtration of
                <emph type="italics"/>
              Ariſtotle.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Let us go on therefore; and let
                <emph type="italics"/>
              Simplicius,
                <emph.end type="italics"/>
              tell me
                <lb/>
              what that motion is which the ſtone maketh that is held faſt in the
                <lb/>
              ſlit of the ſling, when the boy ſwings it about to throw it a great
                <lb/>
              way?</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>The motion of the ſtone, ſo long as it is in the ſlit, is
                <lb/>
              circular, that is, moveth by the arch of a circle, whoſe ſtedfaſt
                <lb/>
              centre is the knitting of the ſhoulder, and its ſemi-diameter the arm
                <lb/>
              and ſtick.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>And when the ſtone leaveth the ſling, what is its
                <lb/>
              tion? </s>
              <s>Doth it continue to follow its former circle, or doth it go
                <lb/>
              by another line?</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>It will continue no longer to ſwing round, for then it
                <lb/>
              would not go farther from the arm of the projicient, whereas
                <lb/>
              we ſee it go a great way off.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>With what motion doth it move then?</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>Give me a little time to think thereof; For I have
                <lb/>
              ver conſidered it before.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Hark hither,
                <emph type="italics"/>
              Sagredus
                <emph.end type="italics"/>
              ; this is the
                <emph type="italics"/>
              Quoddam reminiſci
                <emph.end type="italics"/>
                <lb/>
              in a ſubject well underſtood. </s>
              <s>You have pauſed a great while,
                <lb/>
                <emph type="italics"/>
              Simplicius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>As far as I can ſee, the motion received in going out of
                <lb/>
              the ſling, can be no other than by a right line; nay, it muſt
                <lb/>
              ceſſarily be ſo, if we ſpeak of the pure adventitious
                <emph type="italics"/>
              impetus.
                <emph.end type="italics"/>
              I
                <lb/>
              was a little puzled to ſee it make an arch, but becauſe that arch
                <lb/>
              bended all the way upwards, and no other way, I conceive that
                <lb/>
                <arrow.to.target n="marg364"/>
                <lb/>
              that incurvation cometh from the gravity of the ſtone, which
                <lb/>
              turally draweth it downwards. </s>
              <s>The impreſſed
                <emph type="italics"/>
              impetus,
                <emph.end type="italics"/>
              I ſay,
                <lb/>
              without reſpecting the natural, is by a right line.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg364"/>
                <emph type="italics"/>
              The motion
                <lb/>
              preſſed by the
                <lb/>
              jicient is onely by a
                <lb/>
              right line.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>But by what right line? </s>
              <s>Becauſe infinite, and towards
                <lb/>
              every ſide may be produced from the ſlit of the ſling, and from the
                <lb/>
              point of the ſtones ſeparation from the ſling.</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>It moveth by that line which goeth directly from the
                <lb/>
              motion which the ſtone made in the ſling.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>The motion of the ſtone whilſt it was in the ſlit, you
                <lb/>
              have affirmed already to be circular; now circularity oppoſeth
                <lb/>
              directneſs, there not being in the circular line any part that is
                <lb/>
              rect or ſtreight.</s>
            </p>
            <p type="main">
              <s>SIMP I mean not that the projected motion is direct in
                <lb/>
              ſpect of the whole circle, but in reference to that ultimate point,
                <lb/>
              where the circular motion determineth. </s>
              <s>I know what I would </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum