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

List of thumbnails

< >
211
211
212
212
213
213
214
214
215
215
216
216
217
217
218
218
219
219
220
220
< >
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/214.jpg" pagenum="196"/>
              Power, or by ſome Angel, a very great Cannon bullet were
                <lb/>
              ed up thither, and placed in our Zenith or vertical point, and from
                <lb/>
              thence let go at liberty, it is in his, and alſo in my opinion, a moſt
                <lb/>
              incredible thing that it, in deſcending downwards, ſhould all the
                <lb/>
              way maintain it ſelf in our vertical line, continuing to turn round
                <lb/>
              with the Earth, about its centre, for ſo many dayes, deſcribing
                <lb/>
              under the Equinoctial a Spiral line in the plain of the great circle
                <lb/>
              it ſelf: and under other Parallels, Spiral lines about Cones, and
                <lb/>
              under the Poles falling by a ſimple right line. </s>
              <s>He, in the next
                <lb/>
              place, ſtabliſheth and confirmeth this great improbability by
                <lb/>
              ving, in the way of interrogations, many difficulties impoſſible to
                <lb/>
              be removed by the followers of
                <emph type="italics"/>
              Copernicus
                <emph.end type="italics"/>
              ; and they are, if I do
                <lb/>
              well remember-----.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg391"/>
                <emph type="italics"/>
              The firſt
                <lb/>
              ction of the
                <lb/>
              dern Author of
                <lb/>
              the little tract of
                <emph.end type="italics"/>
                <lb/>
              Concluſions.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg392"/>
                <emph type="italics"/>
              A Cannon
                <lb/>
              let would ſpend
                <lb/>
              more than ſix days
                <lb/>
              in falling from the
                <lb/>
              Concave of the
                <lb/>
              Moon to the
                <lb/>
              tre of the Earth,
                <lb/>
              according to the
                <lb/>
              pinion of that
                <lb/>
              dern Author of the
                <emph.end type="italics"/>
                <lb/>
              Concluſions.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Take up a little, good
                <emph type="italics"/>
              Simplicius,
                <emph.end type="italics"/>
              and do not load me
                <lb/>
              with ſo many novelties at once: I have but a bad memory, and
                <lb/>
              therefore I muſt not go too faſt. </s>
              <s>And in regard it cometh into
                <lb/>
              my minde, that I once undertook to calculate how long time ſuch a
                <lb/>
              grave body falling from the concave of the Moon, would be in
                <lb/>
              paſſing to the centre of the Earth, and that I think I remember
                <lb/>
              that the time would not be ſo long; it would be fit that you ſhew
                <lb/>
              us by what rule this Author made his calculation.</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>He hath done it by proving his intent
                <emph type="italics"/>
              à fortiori,
                <emph.end type="italics"/>
              a
                <lb/>
              cient advantage for his adverſaries, ſuppoſing that the velocity of
                <lb/>
              the body falling along the vertical line, towards the centre of the
                <lb/>
              Earth, were equal to the velocity of its circular motion, which it
                <lb/>
              made in the grand circle of the concave of the Lunar Orb.
                <lb/>
              </s>
              <s>Which by equation would come to paſſe in an hour, twelve
                <lb/>
              ſand ſix hundred German miles, a thing which indeed ſavours of
                <lb/>
              impoſſibility: Yet nevertheleſſe, to ſhew his abundant caution,
                <lb/>
              and to give all advantages to his adverſaries, he ſuppoſeth it for
                <lb/>
              true, and concludeth, that the time oſ the fall ought however to
                <lb/>
              be more than ſix dayes.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>And is this the ſum of his method? </s>
              <s>And doth he by
                <lb/>
              this demonſtration prove the time of the fall to be above ſix
                <lb/>
              dayes?</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>Me thinks that he hath behaved himſelf too modeſtly,
                <lb/>
              for that having it in the power of his will to give what velocity he
                <lb/>
              pleaſed to ſuch a deſcending body, and might aſwell have made it
                <lb/>
              ſix moneths, nay, ſix years in falling to the Earth, he is content
                <lb/>
              with ſix dayes. </s>
              <s>But, good
                <emph type="italics"/>
              Salviatus,
                <emph.end type="italics"/>
              ſharpen my appetite a
                <lb/>
              tle, by telling me in what manner you made your computation, in
                <lb/>
              regard you ſay, that you have heretofore caſt it up: for I am
                <lb/>
              fident that if the queſtion had not required ſome ingenuity in
                <lb/>
              working it, you would never have applied your minde unto
                <lb/>
              it.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>