Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

< >
[21.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER SECVNDVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. PROPOSITIO I.
[22.] PROPOSITIO II.
[23.] COMMENTARIVS.
[24.] PROPOSITIO III.
[25.] PROPOSITIO IIII.
[26.] COMMENTARIVS.
[27.] PROPOSITIO V.
[28.] COMMENTARIVS.
[29.] PROPOSITIO VI.
[30.] COMMENTARIVS.
[31.] LEMMAI.
[32.] LEMMA II.
[33.] LEMMA III.
[34.] LEMMA IIII.
[35.] PROPOSITIO VII.
[36.] PROPOSITIO VIII.
[37.] COMMENTARIVS.
[38.] PROPOSITIO IX.
[39.] COMMENTARIVS.
[40.] PROPOSITIO X.
[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.
< >
page |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div160" type="section" level="1" n="53">
          <p>
            <s xml:id="echoid-s2361" xml:space="preserve">
              <pb file="0090" n="90" rhead="ARCHIMEDIS"/>
            _Quoniam igi_-
              <lb/>
              <figure xlink:label="fig-0090-01" xlink:href="fig-0090-01a" number="55">
                <image file="0090-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0090-01"/>
              </figure>
            _tur portio con_-
              <lb/>
            _uertitur, ita ut_
              <lb/>
            _baſis humidum_
              <lb/>
            _non contingat_,
              <lb/>
            _axis cum ſuper_
              <lb/>
            _ficie eius faciet_
              <lb/>
            _angulum maio_-
              <lb/>
            _rem angulo g;_
              <lb/>
            </s>
            <s xml:id="echoid-s2362" xml:space="preserve">_hoc est angulo_
              <lb/>
            _y: </s>
            <s xml:id="echoid-s2363" xml:space="preserve">& </s>
            <s xml:id="echoid-s2364" xml:space="preserve">propter_-
              <lb/>
            _ea multo maio_-
              <lb/>
            _rem angulo χ_.</s>
            <s xml:id="echoid-s2365" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div173" type="section" level="1" n="54">
          <head xml:id="echoid-head59" xml:space="preserve">DEMONSTRATIO TERTIAE PARTIS.</head>
          <p>
            <s xml:id="echoid-s2366" xml:space="preserve">HABEAT deinde portio ad humidum eam in graui-
              <lb/>
            tate proportionem, quam quadratũ x o habet ad quadra-
              <lb/>
            tum b d: </s>
            <s xml:id="echoid-s2367" xml:space="preserve">& </s>
            <s xml:id="echoid-s2368" xml:space="preserve">in humidum demittatur adeo inclinata, ut ba-
              <lb/>
            ſis ipſius non con
              <lb/>
              <figure xlink:label="fig-0090-02" xlink:href="fig-0090-02a" number="56">
                <image file="0090-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0090-02"/>
              </figure>
            tingat humidum.
              <lb/>
            </s>
            <s xml:id="echoid-s2369" xml:space="preserve">Secta aũt ipſa per
              <lb/>
            axem plano ad hu
              <lb/>
            midi ſuperficiem
              <lb/>
            recto, ſolidi ſectio
              <lb/>
            ſit rectanguli co-
              <lb/>
            ni ſectio a p m l: </s>
            <s xml:id="echoid-s2370" xml:space="preserve">ſu
              <lb/>
            perficiei humidi
              <lb/>
            ſectio ſit i m: </s>
            <s xml:id="echoid-s2371" xml:space="preserve">axis
              <lb/>
            portionis, & </s>
            <s xml:id="echoid-s2372" xml:space="preserve">ſe-
              <lb/>
            ctionis diameter
              <lb/>
            b d: </s>
            <s xml:id="echoid-s2373" xml:space="preserve">ſeceturq; </s>
            <s xml:id="echoid-s2374" xml:space="preserve">b d
              <lb/>
            ſicuti prius: </s>
            <s xml:id="echoid-s2375" xml:space="preserve">& </s>
            <s xml:id="echoid-s2376" xml:space="preserve">du-
              <lb/>
            catur p n </s>
          </p>
        </div>
      </text>
    </echo>