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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        <div xml:id="echoid-div231" type="section" level="1" n="79">
          <p>
            <s xml:id="echoid-s3836" xml:space="preserve">
              <pb o="21" file="0153" n="153" rhead="DE CENTRO GRAVIT. SOLID."/>
            diuidendo figura ſolida inſcripta ad dictam exceſſus par-
              <lb/>
            tem, ut τ e ad e ρ. </s>
            <s xml:id="echoid-s3837" xml:space="preserve">& </s>
            <s xml:id="echoid-s3838" xml:space="preserve">quoniam à cono, ſeu coni portione,
              <lb/>
            cuius grauitatis centrum eſt e, aufertur figura inſcripta,
              <lb/>
            cuius centrum ρ: </s>
            <s xml:id="echoid-s3839" xml:space="preserve">reſiduæ magnitudinis compoſitæ ex par
              <lb/>
            te exceſſus, quæ intra coni, uel coni portionis ſuperficiem
              <lb/>
            continetur, centrum grauitatis erit in linea ζ e protracta,
              <lb/>
            atque in puncto τ. </s>
            <s xml:id="echoid-s3840" xml:space="preserve">quod eſt abſurdum. </s>
            <s xml:id="echoid-s3841" xml:space="preserve">cõſtat ergo centrũ
              <lb/>
            grauitatis coni, uel coni portionis, eſſe in axe b d: </s>
            <s xml:id="echoid-s3842" xml:space="preserve">quod de
              <lb/>
            monſcrandum propoſuimus.</s>
            <s xml:id="echoid-s3843" xml:space="preserve"/>
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        <div xml:id="echoid-div234" type="section" level="1" n="80">
          <head xml:id="echoid-head87" xml:space="preserve">THE OREMA XI. PROPOSITIO XV.</head>
          <p>
            <s xml:id="echoid-s3844" xml:space="preserve">Cuiuslibet portionis ſphæræ uel ſphæroidis,
              <lb/>
            quæ dimidia maior non ſit: </s>
            <s xml:id="echoid-s3845" xml:space="preserve">itemq́; </s>
            <s xml:id="echoid-s3846" xml:space="preserve">cuiuslibet por
              <lb/>
            tionis conoidis, uel abſciſſæ plano ad axem recto,
              <lb/>
            uel non recto, centrum grauitatis in axe con-
              <lb/>
            ſiſtit.</s>
            <s xml:id="echoid-s3847" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3848" xml:space="preserve">Demonſtratio ſimilis erit ei, quam ſupra in cono, uel co
              <lb/>
            ni portione attulimus, ne toties eadem fruſtra iterentur.</s>
            <s xml:id="echoid-s3849" xml:space="preserve"/>
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          <figure number="106">
            <image file="0153-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0153-01"/>
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