Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[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.
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              <pb o="15" file="0143" n="143" rhead="DE CENTRO GRAVIT. SOLID."/>
              <figure xlink:label="fig-0143-01" xlink:href="fig-0143-01a" number="97">
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            ni portionem, ita eſt c_y_lindrus ad c_y_lindrum, uel c_y_lin-
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            dri portio ad c_y_lindri portionem: </s>
            <s xml:id="echoid-s3623" xml:space="preserve">& </s>
            <s xml:id="echoid-s3624" xml:space="preserve">ut p_y_ramis ad p_y_ra-
              <lb/>
            midem, ita priſma ad priſma, cum eadem ſit baſis, & </s>
            <s xml:id="echoid-s3625" xml:space="preserve">æqua
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            lis altitudo; </s>
            <s xml:id="echoid-s3626" xml:space="preserve">erit c_y_lindrus uel c_y_lindri portio x priſma-
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            ti _y_ æqualis. </s>
            <s xml:id="echoid-s3627" xml:space="preserve">eftq; </s>
            <s xml:id="echoid-s3628" xml:space="preserve">ut ſpacium g h ad ſpacium x, ita c_y_lin-
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            drus, uel c_y_lindri portio c e ad c_y_lindrum, uel c_y_lindri por-
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            tionem x. </s>
            <s xml:id="echoid-s3629" xml:space="preserve">Conſtatigitur c_y_lindrum uel c_y_lindri portionẽ
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            c e, ad priſina_y_, quippe cuius baſis eſt figura rectilinea in
              <lb/>
              <note position="right" xlink:label="note-0143-01" xlink:href="note-0143-01a" xml:space="preserve">7. quinti</note>
            ſpacio g h deſcripta, eandem proportionem habere, quam
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            ſpacium g h habet ad ſpacium x, hoc eſt ad dictam figuram.
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            </s>
            <s xml:id="echoid-s3630" xml:space="preserve">quod demonſtrandum fuerat.</s>
            <s xml:id="echoid-s3631" xml:space="preserve"/>
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          <head xml:id="echoid-head81" xml:space="preserve">THE OREMA IX. PROPOSITIO IX.</head>
          <p>
            <s xml:id="echoid-s3632" xml:space="preserve">Si pyramis ſecetur plano baſi æquidiſtante; </s>
            <s xml:id="echoid-s3633" xml:space="preserve">ſe-
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            ctio erit figura ſimilis ei, quæ eſt baſis, centrum
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            grauitatis in axe habens.</s>
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