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

Table of figures

< >
[Figure 191]
Page: 981
[Figure 192]
Page: 982
[Figure 193]
Page: 982
[Figure 194]
Page: 983
[Figure 195]
Page: 984
[Figure 196]
Page: 984
[Figure 197]
Page: 984
[Figure 198]
Page: 985
[Figure 199]
Page: 987
[Figure 200]
Page: 988
[Figure 201]
Page: 990
[Figure 202]
Page: 990
[Figure 203]
Page: 991
[Figure 204]
Page: 992
[Figure 205]
Page: 993
[Figure 206]
Page: 994
[Figure 207]
Page: 998
[Figure 208]
Page: 999
[Figure 209]
Page: 1006
[Figure 210]
Page: 1007
[Figure 211]
Page: 1008
[Figure 212]
Page: 1008
[Figure 213]
Page: 1009
[Figure 214]
Page: 1010
[Figure 215]
Page: 1012
[Figure 216]
Page: 1014
[Figure 217]
Page: 1014
[Figure 218]
Page: 1015
[Figure 219]
Page: 1015
[Figure 220]
Page: 1017
< >
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/992.jpg" pagenum="298"/>
              and in the Velocity: which peradventure, might not have ſeemed
                <lb/>
              to ſome ſo true and manifeſt in the preſent Contemplation; nay,
                <lb/>
              rather it ſeems, that in this caſe the Force is multiplied without the
                <lb/>
              Movers moving a longer way than the Moveable: In regard, that
                <lb/>
              if we ſhall in the Triangle A B C ſuppoſe the Line A B to be the
                <lb/>
              Plane of the Horizon, A C the elevated Plane, whoſe Altitude is
                <lb/>
              meaſured by the Perpendicular C B, a Moveable placed upon the
                <lb/>
              Plane A C, and the Cord E D
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              tyed to it, and a
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              orce or Weight
                <lb/>
              applyed in
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              that hath to the
                <lb/>
              Gravity of the Weight E the
                <lb/>
                <figure id="id.040.01.992.1.jpg" xlink:href="040/01/992/1.jpg" number="204"/>
                <lb/>
              ſame proportion that the Line
                <lb/>
              B C hath to C A; by what
                <lb/>
              hath been demonſtrated, the
                <lb/>
              Weight
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              ſhall deſcend
                <lb/>
              downwards, drawing the
                <lb/>
              Moveable E along the eleva­
                <lb/>
              ted Plane; nor ſhall the Move­
                <lb/>
              able E meaſure a greater Space
                <lb/>
              when it ſhall have paſſed the
                <lb/>
              whole Line A
                <emph type="italics"/>
              C,
                <emph.end type="italics"/>
              than that which the ſaid Grave
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              meaſureth in its
                <lb/>
              deſcent downwards. </s>
              <s>But here yet it muſt be advertiſed, that al­
                <lb/>
              though the Moveable E ſhall have paſſed the whole Line A C, in
                <lb/>
              the ſame Time that the other Grave
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              ſhall have been abaſed the
                <lb/>
              like Space, nevertheleſs the Grave E ſhall not have retired from the
                <lb/>
              common Center of things Grave more than the Space of the Per­
                <lb/>
              pendicular
                <emph type="italics"/>
              C
                <emph.end type="italics"/>
              B. but yet the Grave
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              deſcending Perpendicularly ſhall
                <lb/>
              be abaſed a Space equal to the whole Line A
                <emph type="italics"/>
              C.
                <emph.end type="italics"/>
              And becauſe Grave
                <lb/>
              Bodies make no Reſiſtance to Tranſverſal Motions, but only ſo
                <lb/>
              far as they happen to recede from the
                <emph type="italics"/>
              C
                <emph.end type="italics"/>
              enter of the Earth; There­
                <lb/>
              fore the Moveable E in all the Motion A
                <emph type="italics"/>
              C
                <emph.end type="italics"/>
              being raiſed no more
                <lb/>
              than the length of the Line
                <emph type="italics"/>
              C
                <emph.end type="italics"/>
              B, but the other
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              being abaſed per­
                <lb/>
              pendicularly the quantity of all the Line A
                <emph type="italics"/>
              C
                <emph.end type="italics"/>
              : Therefore we may
                <lb/>
              deſervedly affirm that Way of the
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              orce E maintaineth the ſame
                <lb/>
              proportion to the
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              orce
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              that the
                <emph type="italics"/>
              L
                <emph.end type="italics"/>
              ine A
                <emph type="italics"/>
              C
                <emph.end type="italics"/>
              hath to
                <emph type="italics"/>
              C
                <emph.end type="italics"/>
              B; that is,
                <lb/>
              the Weight E to the Weight
                <emph type="italics"/>
              F.
                <emph.end type="italics"/>
              It very much importeth, therefore,
                <lb/>
              to conſider by [
                <emph type="italics"/>
              or along
                <emph.end type="italics"/>
              ] what
                <emph type="italics"/>
              L
                <emph.end type="italics"/>
              ines the Motions are made, eſpe­
                <lb/>
              cially in exanimate Grave Bodies, the Moments of which have their
                <lb/>
              total Vigour, and entire Reſiſtance in the
                <emph type="italics"/>
              L
                <emph.end type="italics"/>
              ine Perpendicular to
                <lb/>
              the Horizon; and in the others tranſverſally Elevated and Inclined
                <lb/>
              they feel the more or leſs Vigour,
                <emph type="italics"/>
              Impetus,
                <emph.end type="italics"/>
              or Reſiſtance, the more
                <lb/>
              or leſs thoſe Inclinations approach unto the Perpendicular Inclina­
                <lb/>
              tion.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum