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

Table of figures

< >
[Figure 61]
Page: 736
[Figure 62]
Page: 738
[Figure 63]
Page: 740
[Figure 64]
Page: 778
[Figure 65]
Page: 786
[Figure 66]
Page: 789
[Figure 67]
Page: 806
[Figure 68]
Page: 807
[Figure 69]
Page: 809
[Figure 70]
Page: 809
[Figure 71]
Page: 811
[Figure 72]
Page: 812
[Figure 73]
Page: 816
[Figure 74]
Page: 817
[Figure 75]
Page: 817
[Figure 76]
Page: 820
[Figure 77]
Page: 822
[Figure 78]
Page: 823
[Figure 79]
Page: 823
[Figure 80]
Page: 824
[Figure 81]
Page: 833
[Figure 82]
Page: 834
[Figure 83]
Page: 836
[Figure 84]
Page: 837
[Figure 85]
Page: 839
[Figure 86]
Page: 842
[Figure 87]
Page: 843
[Figure 88]
Page: 845
[Figure 89]
Page: 846
[Figure 90]
Page: 848
< >
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="040/01/820.jpg" pagenum="127"/>
            <p type="head">
              <s>AXIOME II.</s>
            </p>
            <p type="main">
              <s>In the ſame Equable Motion, the greater the Space is that hath
                <lb/>
              been gone thorow, the longer was the Time in which the Move­
                <lb/>
              able was going it.</s>
            </p>
            <p type="head">
              <s>AXIOME III.</s>
            </p>
            <p type="main">
              <s>The Space which a greater Velocity paſſeth in any Time, is great­
                <lb/>
              er than the Space which a leſſer Velocity paſſeth in the ſame
                <lb/>
              Time.</s>
            </p>
            <p type="head">
              <s>AXIOME IV.</s>
            </p>
            <p type="main">
              <s>The Velocity which paſſeth a greater Space, is greater than the
                <lb/>
              Velocity which paſſeth a leſſer Space in the ſame Time.</s>
            </p>
            <p type="head">
              <s>THEOR. I. PROP. I.</s>
            </p>
            <p type="main">
              <s>If a Moveable moving with an Equable Motion,
                <lb/>
              and with the ſame Velocity paſſe two ſeveral
                <lb/>
              Spaces, the Times of the Motion ſhall be to
                <lb/>
              one another as the ſaid Spaces.</s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Let the Moveable by an Equable Motion with the ſame Velocity paß
                <lb/>
              the two Spaces A B and B C: and let D E be the Time of the Moti­
                <lb/>
              on thorow A B; and let the Time of the Motion thorow B C be E F
                <lb/>
              I ſay that the Time D E to the Time E F, is as the Space A B to the
                <lb/>
              Space B C. </s>
              <s>Protract the Spaces and Times on both ſides, towards
                <lb/>
              G H and I K, and in A G take any number of Spaces equal to A B,
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.040.01.820.1.jpg" xlink:href="040/01/820/1.jpg" number="76"/>
                <lb/>
                <emph type="italics"/>
              and in D I the like number of Times equal to D E. Again, in C H take
                <lb/>
              any number of Spaces equal to B C, and in F K take the ſame number
                <lb/>
              of Times equal to the Time E F. </s>
              <s>This done, the Space B G will con­
                <lb/>
              tain juſt as many Spaces equal to B A, as the Time E I containeth
                <lb/>
              Times equal to E D, equimultiplied according to what ever Rate; And
                <lb/>
              likewiſe the Space B H will contain as many Spaces equal to B C, as
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum