Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[Item 1.]
[2.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBRI DVO. A FEDERICO COMMANDINO VRBINATE IN PRISTINVM NITOREM RESTITVTI, ET COMMENTARIIS ILLVSTRATI.
[3.] CVM PRIVILEGIO IN ANNOS X. BONONIAE,
[4.] M D LXV.
[5.] RANVTIO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
[6.] Federicus Commandinus.
[7.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER PRIMVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. POSITIO.
[8.] PROPOSITIO I.
[9.] PROPOSITIO II.
[10.] PROPOSITIO III.
[11.] PROPOSITIO IIII.
[12.] PROPOSITIO V.
[13.] PROPOSITIO VI.
[14.] PROPOSITIO VII.
[15.] POSITIO II.
[16.] COMMENTARIVS.
[17.] PROPOSITIO VIII.
[18.] COMMENTARIVS.
[19.] PROPOSITIO IX.
[20.] COMMENTARIVS.
[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.
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            _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"/>
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            _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_
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            _y: </s>
            <s xml:id="echoid-s2363" xml:space="preserve">& </s>
            <s xml:id="echoid-s2364" xml:space="preserve">propter_-
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            _ea multo maio_-
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            _rem angulo χ_.</s>
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        <div xml:id="echoid-div173" type="section" level="1" n="54">
          <head xml:id="echoid-head59" xml:space="preserve">DEMONSTRATIO TERTIAE PARTIS.</head>
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            <s xml:id="echoid-s2366" xml:space="preserve">HABEAT deinde portio ad humidum eam in graui-
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            tate proportionem, quam quadratũ x o habet ad quadra-
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            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-
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            ſis ipſius non con
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              <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"/>
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            tingat humidum.
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            </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-
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            ni ſectio a p m l: </s>
            <s xml:id="echoid-s2370" xml:space="preserve">ſu
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            perficiei humidi
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            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-
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            ctionis diameter
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            b d: </s>
            <s xml:id="echoid-s2373" xml:space="preserve">ſeceturq; </s>
            <s xml:id="echoid-s2374" xml:space="preserve">b d
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            ſicuti prius: </s>
            <s xml:id="echoid-s2375" xml:space="preserve">& </s>
            <s xml:id="echoid-s2376" xml:space="preserve">du-
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            catur p n </s>
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