Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
171 30
172
173 31
174
175 32
176
177 33
178
179 34
180
181 35
182
183 36
184
185 37
186
187 38
188
189 39
190
191 40
192
193 41
194
195 42
196
197 43
198
199 44
200
< >
page |< < (22) of 213 > >|
DE CENTRO GRAVIT. SOLID.
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="81">
          <pb o="22" file="0155" n="155" rhead="DE CENTRO GRAVIT. SOLID."/>
          <p>
            <s xml:space="preserve">Ex demonſtratis perſpicue apparet, portioni
              <lb/>
            ſphæræ uel ſphæroidis, quæ dimidia maior eſt, cẽ
              <lb/>
            trum grauitatis in axe conſiſtere.</s>
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve">Data enim
              <lb/>
              <anchor type="figure" xlink:label="fig-0155-01a" xlink:href="fig-0155-01"/>
            qualibet maio
              <lb/>
            ri portiõe, quo
              <lb/>
            niã totius ſphæ
              <lb/>
            ræ, uel ſphæroi
              <lb/>
            dis grauitatis
              <lb/>
            centrum eſt in
              <lb/>
            axe; </s>
            <s xml:space="preserve">eſt autem
              <lb/>
            & </s>
            <s xml:space="preserve">in axe cen-
              <lb/>
            trum portio-
              <lb/>
            nis minoris:
              <lb/>
            </s>
            <s xml:space="preserve">reliquæ portionis uidelicet maioris centrum in axe neceſ-
              <lb/>
            ſario conſiſtet.</s>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="2">
            <figure xlink:label="fig-0155-01" xlink:href="fig-0155-01a">
              <image file="0155-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0155-01"/>
            </figure>
          </div>
        </div>
        <div type="section" level="1" n="82">
          <head xml:space="preserve">THE OREMA XIII. PROPOSITIO XVII.</head>
          <p>
            <s xml:space="preserve">Cuiuslibet pyramidis triã
              <lb/>
              <anchor type="figure" xlink:label="fig-0155-02a" xlink:href="fig-0155-02"/>
            gularem baſim habẽtis gra
              <lb/>
            uitatis centrum eſt in pun-
              <lb/>
            cto, in quo ipſius axes con-
              <lb/>
            ueniunt.</s>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="1">
            <figure xlink:label="fig-0155-02" xlink:href="fig-0155-02a">
              <image file="0155-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0155-02"/>
            </figure>
          </div>
          <p>
            <s xml:space="preserve">Sit pyramis, cuius baſis trian
              <lb/>
            gulum a b c, axis d e: </s>
            <s xml:space="preserve">ſitq; </s>
            <s xml:space="preserve">trian
              <lb/>
            guli b d c grauitatis centrum f:
              <lb/>
            </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">iungatur a f. </s>
            <s xml:space="preserve">erit & </s>
            <s xml:space="preserve">a faxis eiuſ
              <lb/>
            dem pyramidis ex tertia diffini-
              <lb/>
            tione huius. </s>
            <s xml:space="preserve">Itaque quoniam centrum grauitatis eſt in
              <lb/>
            axe d e; </s>
            <s xml:space="preserve">eſt autem & </s>
            <s xml:space="preserve">in axe a f; </s>
            <s xml:space="preserve">quod proxime demonſtraui</s>
          </p>
        </div>
      </text>
    </echo>