Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

< >
[41.] COMMENTARIVS.
[42.] LEMMA I.
[43.] LEMMA II.
[44.] LEMMA III.
[45.] LEMMA IIII.
[46.] LEMMA V.
[47.] LEMMA VI.
[48.] II.
[49.] III.
[50.] IIII.
[51.] V.
[52.] DEMONSTRATIO SECVNDAE PARTIS.
[53.] COMMENTARIVS.
[54.] DEMONSTRATIO TERTIAE PARTIS.
[55.] COMMENTARIVS.
[56.] DEMONSTRATIO QVARTAE PARTIS.
[57.] DEMONSTRATIO QVINT AE PARTIS.
[58.] FINIS LIBRORVM ARCHIMEDIS DE IIS, QVAE IN AQVA VEHVNTVR.
[59.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORV M.
[60.] CVM PRIVILEGIO IN ANNOS X. BONONIAE, Ex Officina Alexandri Benacii. M D LXV.
[61.] ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
[62.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.
[63.] PETITIONES.
[64.] THEOREMA I. PROPOSITIO I.
[65.] THEOREMA II. PROPOSITIO II.
[66.] THE OREMA III. PROPOSITIO III.
[67.] THE OREMA IIII. PROPOSITIO IIII.
[68.] ALITER.
[69.] THEOREMA V. PROPOSITIO V.
[70.] COROLLARIVM.
< >
page |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div154" type="section" level="1" n="49">
          <p>
            <s xml:id="echoid-s2155" xml:space="preserve">
              <pb file="0084" n="84" rhead="ARCHIMEDIS"/>
            quadratum b d; </s>
            <s xml:id="echoid-s2156" xml:space="preserve">in humidum demiſſa, & </s>
            <s xml:id="echoid-s2157" xml:space="preserve">poſi-
              <lb/>
            ta inclinata adeo, ut baſis ipſius non contingat
              <lb/>
            humidum; </s>
            <s xml:id="echoid-s2158" xml:space="preserve">conſiſtet inclinata, ita ut baſis in uno
              <lb/>
            puncto humidi ſuperficiem contingat: </s>
            <s xml:id="echoid-s2159" xml:space="preserve">& </s>
            <s xml:id="echoid-s2160" xml:space="preserve">axis cũ
              <lb/>
            ea faciat angulum angulo φ æqualem.</s>
            <s xml:id="echoid-s2161" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div155" type="section" level="1" n="50">
          <head xml:id="echoid-head55" xml:space="preserve">IIII.</head>
          <p>
            <s xml:id="echoid-s2162" xml:space="preserve">Si portio ad humidum in grauitate maiorem
              <lb/>
              <note position="left" xlink:label="note-0084-01" xlink:href="note-0084-01a" xml:space="preserve">B</note>
            quidem proportionem habeat, quàm quadra-
              <lb/>
            tum f p ad quadratum b d; </s>
            <s xml:id="echoid-s2163" xml:space="preserve">minorem uero,
              <lb/>
            quàm quadratum x o ad b d quadratum; </s>
            <s xml:id="echoid-s2164" xml:space="preserve">in hu-
              <lb/>
            midum demiſſa, & </s>
            <s xml:id="echoid-s2165" xml:space="preserve">inclinata adeo, ut baſis ipſius
              <lb/>
            non contingat humidum conſiſtet, & </s>
            <s xml:id="echoid-s2166" xml:space="preserve">manebit
              <lb/>
            ita, ut baſis in humidum magis demergatur.</s>
            <s xml:id="echoid-s2167" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div157" type="section" level="1" n="51">
          <head xml:id="echoid-head56" xml:space="preserve">V.</head>
          <p>
            <s xml:id="echoid-s2168" xml:space="preserve">Si portio ad humidum in grauitate proportio
              <lb/>
            nem habeat minorem, quàm quadratum f p ad
              <lb/>
            quadratum b d: </s>
            <s xml:id="echoid-s2169" xml:space="preserve">demiſſa in humidum, & </s>
            <s xml:id="echoid-s2170" xml:space="preserve">poſita
              <lb/>
            inclinata adeo ut baſis ipſius non contingat humi
              <lb/>
            dum: </s>
            <s xml:id="echoid-s2171" xml:space="preserve">conſiſtet inclinata, ita ut axis ipſius cum
              <lb/>
            humidi ſuperficie angulum faciat minorem an-
              <lb/>
            gulo φ: </s>
            <s xml:id="echoid-s2172" xml:space="preserve">& </s>
            <s xml:id="echoid-s2173" xml:space="preserve">baſis nullo modo ſuperficiem humi-
              <lb/>
            di contingat. </s>
            <s xml:id="echoid-s2174" xml:space="preserve">Hæc autem omnia deinceps de-
              <lb/>
            monſtrabuntur.</s>
            <s xml:id="echoid-s2175" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>