Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

< >
[71.] THEOREMA VI. PROPOSITIO VI.
[72.] THE OREMA VII. PROPOSITIO VII.
[73.] THE OREMA VIII. PROPOSITIO VIII.
[74.] THE OREMA IX. PROPOSITIO IX.
[75.] PROBLEMA I. PROPOSITIO X.
[76.] PROBLEMA II. PROPOSITIO XI.
[77.] PROBLEMA III. PROPOSITIO XII.
[78.] PROBLEMA IIII. PROPOSITIO XIII.
[79.] THEOREMA X. PROPOSITIO XIIII.
[80.] THE OREMA XI. PROPOSITIO XV.
[81.] THE OREMA XII. PROPOSITIO XVI.
[82.] THE OREMA XIII. PROPOSITIO XVII.
[83.] THEOREMA XIIII. PROPOSITIO XVIII.
[84.] THEOREMA XV. PROPOSITIO XIX.
[85.] THE OREMA XVI. PROPOSITIO XX.
[86.] THEOREMA XVII. PROPOSITIO XXI.
[87.] THE OREMA XVIII. PROPOSITIO XXII.
[88.] THEOREMA XIX. PROPOSITIO XXIII.
[89.] PROBLEMA V. PROPOSITIO XXIIII.
[90.] THEOREMA XX. PROPOSITIO XXV.
[91.] THEOREMA XXI. PROPOSITIO XXVI.
[92.] THEOREMA XXII. PROPOSITIO XXVII.
[93.] PROBLEMA VI. PROPOSITIO XX VIII.
[94.] THE OREMA XXIII. PROPOSITIO XXIX.
[95.] THEOREMA XXIIII. PROPOSITIO XXX.
[96.] THEOREMA XXV. PROPOSITIO XXXI.
[97.] FINIS LIBRI DE CENTRO GRAVITATIS SOLIDORVM.
< >
page |< < (4) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div14" type="section" level="1" n="11">
          <p>
            <s xml:id="echoid-s267" xml:space="preserve">
              <pb o="4" file="0019" n="19" rhead="DE IIS QVAE VEH. IN AQVA."/>
            premitur pars humidi, quæ eſt ſub ſuperficie o p. </s>
            <s xml:id="echoid-s268" xml:space="preserve">quare ex-
              <lb/>
            pellet partem minus preſſam, & </s>
            <s xml:id="echoid-s269" xml:space="preserve">non manebit humidum.
              <lb/>
            </s>
            <s xml:id="echoid-s270" xml:space="preserve">ponebatur autem manens. </s>
            <s xml:id="echoid-s271" xml:space="preserve">non igitur demergetur tota,
              <lb/>
            ſed aliqua pars ipſius ex humidi ſuperficie extabit.</s>
            <s xml:id="echoid-s272" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div16" type="section" level="1" n="12">
          <head xml:id="echoid-head15" xml:space="preserve">PROPOSITIO V.</head>
          <p>
            <s xml:id="echoid-s273" xml:space="preserve">
              <emph style="sc">Solidarvm</emph>
            magnitudinum quæcunque le
              <lb/>
            uior humido fuerit, demiſſa in humidum vſque
              <lb/>
            eô demergetur, vt tanta moles humidi, quanta
              <lb/>
            eſt partis demerſæ, eandem, quam tota magnitu-
              <lb/>
            do, grauitatem habeat.</s>
            <s xml:id="echoid-s274" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s275" xml:space="preserve">DISPONANTVR eadem, quæſupra: </s>
            <s xml:id="echoid-s276" xml:space="preserve">ſitq; </s>
            <s xml:id="echoid-s277" xml:space="preserve">humi-
              <lb/>
            dum manens: </s>
            <s xml:id="echoid-s278" xml:space="preserve">& </s>
            <s xml:id="echoid-s279" xml:space="preserve">magnitudo e h t f humido leuior. </s>
            <s xml:id="echoid-s280" xml:space="preserve">Si igitur
              <lb/>
            humidum manet, ſimiliter prementur eius partes, quæ æ-
              <lb/>
            qualiter iacent. </s>
            <s xml:id="echoid-s281" xml:space="preserve">ſimiliter ergo premetur humidum ſub ſu-
              <lb/>
            perficiebus x o o p.
              <lb/>
            </s>
            <s xml:id="echoid-s282" xml:space="preserve">
              <figure xlink:label="fig-0019-01" xlink:href="fig-0019-01a" number="8">
                <image file="0019-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0019-01"/>
              </figure>
            quare æ qualis eſt graui-
              <lb/>
            tas, qua premuntur. </s>
            <s xml:id="echoid-s283" xml:space="preserve">eſt
              <lb/>
            autem & </s>
            <s xml:id="echoid-s284" xml:space="preserve">grauitas humi
              <lb/>
            di, quod in prima pyra-
              <lb/>
            mide abſque ſolido b h
              <lb/>
            t c, æqualis grauitati hu
              <lb/>
            midi, quod in altera py-
              <lb/>
            ramide abſq; </s>
            <s xml:id="echoid-s285" xml:space="preserve">r s q y hu-
              <lb/>
            mido. </s>
            <s xml:id="echoid-s286" xml:space="preserve">perſpicuum eſt
              <lb/>
            igitur grauitatem ma-
              <lb/>
            gnitudinis e h t f grauitati humidi r s q y æqualem eſſe. </s>
            <s xml:id="echoid-s287" xml:space="preserve">ex
              <lb/>
            quibus conſtat, tantam humidi molem, quanta eſt pars de
              <lb/>
            merſa ſolidæ magnitudinis, eandem, quam tota magnitu-
              <lb/>
            do habere grauitatem.</s>
            <s xml:id="echoid-s288" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>