Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
71 30
72
73 37
74
75 32
76
77 25
78
79 34
80
81 35
82
83 36
84
85 37
86
87 38
88
89 39
90
91 40
92
93 41
94
95 42
96
97 43
98
99 44
100
< >
page |< < (17) of 213 > >|
DE CENTRO GRAVIT. SOLID.
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="74">
          <pb o="17" file="0145" n="145" rhead="DE CENTRO GRAVIT. SOLID."/>
        </div>
        <div type="section" level="1" n="75">
          <head xml:space="preserve">PROBLEMA I. PROPOSITIO X.</head>
          <p>
            <s xml:space="preserve">
              <emph style="sc">Data</emph>
            qualibet pyramide, fieri poteſt, ut fi-
              <lb/>
            gura ſolida in ipſa in ſcribatur, & </s>
            <s xml:space="preserve">altera circũſcri-
              <lb/>
            batur ex priſmatibus æqualem aItitudinem ha-
              <lb/>
            bẽtibus, ita ut cir cumſcripta inſcriptam excedat
              <lb/>
            magnitudine, quæ minor ſit quacũque ſolida ma
              <lb/>
            gnitudine propoſita.</s>
            <s xml:space="preserve"/>
          </p>
          <figure>
            <image file="0145-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0145-01"/>
          </figure>
          <p>
            <s xml:space="preserve">Sit pyramis, cuius baſis
              <lb/>
            triangulũ a b c; </s>
            <s xml:space="preserve">axis d e.
              <lb/>
            </s>
            <s xml:space="preserve">Sitq; </s>
            <s xml:space="preserve">priſma, quod eandẽ
              <lb/>
            baſim habeat, & </s>
            <s xml:space="preserve">axem eun
              <lb/>
            dem. </s>
            <s xml:space="preserve">Itaque hoc priſma-
              <lb/>
            te continenter ſecto bifa-
              <lb/>
            riam, plano baſi æquidiftã
              <lb/>
            te, relinquetur tãdem priſ
              <lb/>
            ma quoddam minus pro-
              <lb/>
            poſita magnitudine: </s>
            <s xml:space="preserve">quod
              <lb/>
            quidem baſim eandem ha
              <lb/>
            beat, quam pyramis, & </s>
            <s xml:space="preserve">a-
              <lb/>
            xem e f. </s>
            <s xml:space="preserve">diuidatur d e in
              <lb/>
            partes æquales ipſi e f in
              <lb/>
            punctis g h k l m n: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">per
              <lb/>
            diuiſiones plana ducãtur: </s>
            <s xml:space="preserve">
              <lb/>
            quæ baſibus æquidiſtent,
              <lb/>
            erunt ſectiones, triangula
              <lb/>
            ipſi a b c ſimilia, ut proxi-
              <lb/>
            me oſtendimus. </s>
            <s xml:space="preserve">ab uno
              <lb/>
            quoque autẽ horum trian
              <lb/>
            gulorum duo priſmata cõ
              <lb/>
            ſtruantur; </s>
            <s xml:space="preserve">unum quidem
              <lb/>
            ad partes e; </s>
            <s xml:space="preserve">alterum ad</s>
          </p>
        </div>
      </text>
    </echo>