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

List of thumbnails

< >
161
161
162
162
163
163
164
164
165
165
166
166
167
167
168
168
169
169
170
170
< >
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="040/01/162.jpg" pagenum="144"/>
            <p type="main">
              <s>SALV. </s>
              <s>Neither doth this ſuffice, but its requiſite to know
                <lb/>
              cording to what proportion ſuch accelleration is made; a
                <lb/>
              blem, that I believe was never hitherto underſtood by any
                <lb/>
              loſopher or Mathematician; although Philoſophers, and
                <lb/>
              larly the
                <emph type="italics"/>
              Peripateticks,
                <emph.end type="italics"/>
              have writ great and entire Volumes,
                <lb/>
              touching motion.</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>Philoſophers principally buſie themſelves about
                <lb/>
              ſals; they find the definitions and more common ſymptomes,
                <lb/>
              mitting certain ſubtilties and niceties, which are rather
                <lb/>
              ſities to the Mathematicians. </s>
              <s>And
                <emph type="italics"/>
              Aristotle
                <emph.end type="italics"/>
              did content himſelf
                <lb/>
              to deſine excellently what motion was in general; and of the
                <lb/>
              cal, to ſhew the principal qualities, to wit, that one is natural,
                <lb/>
              another violent; one is ſimple, another compound; one is
                <lb/>
              equal, another accellerate; and concerning the accelerate,
                <lb/>
              tents himſelf to give the reaſon of acceleration, remitting the
                <lb/>
              finding out of the proportion of ſuch acceleration, and other
                <lb/>
              particular accidents to the Mechanitian, or other inferiour
                <lb/>
              Artiſt.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>Very well
                <emph type="italics"/>
              Simplicius.
                <emph.end type="italics"/>
              But you
                <emph type="italics"/>
              Salviatus,
                <emph.end type="italics"/>
              when you
                <lb/>
              deſcend ſometimes from the Throne of
                <emph type="italics"/>
              Peripatetick
                <emph.end type="italics"/>
              Majeſty,
                <lb/>
              have you ever thrown away any of your hours in ſtudying to find
                <lb/>
              this proportion of the acceleration of the motion of deſcending
                <lb/>
              grave bodies?</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>There was no need that I ſhould ſtudy for it, in regard
                <lb/>
              that the Academick our common friend, heretofore ſhewed me a
                <lb/>
              Treatiſe of his ^{*}
                <emph type="italics"/>
              De Motu,
                <emph.end type="italics"/>
              where this, and many other
                <lb/>
                <arrow.to.target n="marg328"/>
                <lb/>
              dents were demonſtrated. </s>
              <s>But it would be too great a digreſſion,
                <lb/>
              if for this particular, we ſhould interrupt our preſent diſcourſe,
                <lb/>
              (which yet it ſelf is alſo no better than a digreſſion) and make as
                <lb/>
              the Saying is, a Comedy within a Comedy.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg328"/>
              This is that
                <lb/>
              cellent tract which
                <lb/>
              we give the firſt
                <lb/>
              place in our ſecond
                <lb/>
              Volume.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>I am content to excuſe you from this narration for the
                <lb/>
              preſent, provided that this may be one of the Propoſitions
                <lb/>
              ved to be examined amongſt the reſt in another particular meeting,
                <lb/>
              for that the knowledg thereof is by me very much deſired; and
                <lb/>
              in the mean time let us return to the line deſcribed by the grave
                <lb/>
              body in its fall from the top of the Tower to its baſe.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>If the right motion towards the centre of the Earth was
                <lb/>
              uniforme, the circular towards the Eaſt being alſo uniforme, you
                <lb/>
              would ſee compoſed of them both a motion by a ſpiral line, of
                <lb/>
              that kind with thoſe defined by
                <emph type="italics"/>
              Archimedes
                <emph.end type="italics"/>
              in his Book
                <emph type="italics"/>
              Dc
                <lb/>
              libus
                <emph.end type="italics"/>
              ; which are, when a point moveth uniformly upon a right
                <lb/>
              line, whileſt that line in the mean time turneth uniformly about
                <lb/>
              one of its extreme points fixed, as the centre of his gyration.
                <lb/>
              </s>
              <s>But becauſe the right motion of grave bodies falling, is
                <lb/>
              ally accelerated, it is neceſſary, that the line reſulting of the </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>