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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            bimus n t æqualem eſſe ψ, & </s>
            <s xml:id="echoid-s2705" xml:space="preserve">propterea ipſi gi. </s>
            <s xml:id="echoid-s2706" xml:space="preserve">& </s>
            <s xml:id="echoid-s2707" xml:space="preserve">quo-
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            niam triangulornm p φ c, n f s angulus f non eſt minor an
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            gulo φ, non erit b f maior, quam b c. </s>
            <s xml:id="echoid-s2708" xml:space="preserve">ergo neque s r mi-
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            nor, quàm c r: </s>
            <s xml:id="echoid-s2709" xml:space="preserve">neque n χ minor, quàm p y. </s>
            <s xml:id="echoid-s2710" xml:space="preserve">Sed cum p f ſit
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            maior, quàm n t:
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            ſitq; </s>
            <s xml:id="echoid-s2712" xml:space="preserve">p f ſeſquialte
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            ra p y: </s>
            <s xml:id="echoid-s2713" xml:space="preserve">erit n t mi-
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            nor, quàm ſeſquial
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            tera n χ: </s>
            <s xml:id="echoid-s2714" xml:space="preserve">& </s>
            <s xml:id="echoid-s2715" xml:space="preserve">idcir-
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            co n χ maior, quã
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            dupla χ t. </s>
            <s xml:id="echoid-s2716" xml:space="preserve">ſit autẽ
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            n m dupla m t: </s>
            <s xml:id="echoid-s2717" xml:space="preserve">& </s>
            <s xml:id="echoid-s2718" xml:space="preserve">
              <lb/>
            iuncta m K produ
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            catur. </s>
            <s xml:id="echoid-s2719" xml:space="preserve">conſtat igi-
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            tur ex iam dictis
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            non manere por-
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            tionem; </s>
            <s xml:id="echoid-s2720" xml:space="preserve">ſed reuol
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            ui ita, ut axis cum
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            ſuperficie humidi
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            faciat angulum an
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            gulo φ minorem.</s>
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          <head xml:id="echoid-head63" xml:space="preserve">FINIS LIBRORVM ARCHIMEDIS DE
            <lb/>
          IIS, QVAE IN AQVA VEHVNTVR.</head>
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