Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
121 5
122
123 6
124
125 7
126
127 8
128
129 9
130
131 10
132
133 11
134
135 12
136
137 13
138
139 14
140
141 15
142
143 15
144 16
145 17
146
147 18
148
149 19
150
< >
page |< < (21) of 213 > >|
DE CENTRO GRAVIT. SOLID.
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="79">
          <p>
            <s xml:space="preserve">
              <pb o="21" file="0153" n="153" rhead="DE CENTRO GRAVIT. SOLID."/>
            diuidendo figura ſolida inſcripta ad dictam exceſſus par-
              <lb/>
            tem, ut τ e ad e ρ. </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">quoniam à cono, ſeu coni portione,
              <lb/>
            cuius grauitatis centrum eſt e, aufertur figura inſcripta,
              <lb/>
            cuius centrum ρ: </s>
            <s xml:space="preserve">reſiduæ magnitudinis compoſitæ ex par
              <lb/>
            te exceſſus, quæ intra coni, uel coni portionis ſuperficiem
              <lb/>
            continetur, centrum grauitatis erit in linea ζ e protracta,
              <lb/>
            atque in puncto τ. </s>
            <s xml:space="preserve">quod eſt abſurdum. </s>
            <s xml:space="preserve">cõſtat ergo centrũ
              <lb/>
            grauitatis coni, uel coni portionis, eſſe in axe b d: </s>
            <s xml:space="preserve">quod de
              <lb/>
            monſcrandum propoſuimus.</s>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="2">
            <figure xlink:label="fig-0151-01" xlink:href="fig-0151-01a">
              <image file="0151-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0151-01"/>
            </figure>
            <figure xlink:label="fig-0152-01" xlink:href="fig-0152-01a">
              <image file="0152-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0152-01"/>
            </figure>
          </div>
        </div>
        <div type="section" level="1" n="80">
          <head xml:space="preserve">THE OREMA XI. PROPOSITIO XV.</head>
          <p>
            <s xml:space="preserve">Cuiuslibet portionis ſphæræ uel ſphæroidis,
              <lb/>
            quæ dimidia maior non ſit: </s>
            <s xml:space="preserve">itemq́; </s>
            <s xml:space="preserve">cuiuslibet por
              <lb/>
            tionis conoidis, uel abſciſſæ plano ad axem recto,
              <lb/>
            uel non recto, centrum grauitatis in axe con-
              <lb/>
            ſiſtit.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">Demonſtratio ſimilis erit ei, quam ſupra in cono, uel co
              <lb/>
            ni portione attulimus, ne toties eadem fruſtra iterentur.</s>
            <s xml:space="preserve"/>
          </p>
          <figure>
            <image file="0153-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0153-01"/>
          </figure>
        </div>
      </text>
    </echo>