Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[61.] ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
[62.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.
[63.] PETITIONES.
[64.] THEOREMA I. PROPOSITIO I.
[65.] THEOREMA II. PROPOSITIO II.
[66.] THE OREMA III. PROPOSITIO III.
[67.] THE OREMA IIII. PROPOSITIO IIII.
[68.] ALITER.
[69.] THEOREMA V. PROPOSITIO V.
[70.] COROLLARIVM.
[71.] THEOREMA VI. PROPOSITIO VI.
[72.] THE OREMA VII. PROPOSITIO VII.
[73.] THE OREMA VIII. PROPOSITIO VIII.
[74.] THE OREMA IX. PROPOSITIO IX.
[75.] PROBLEMA I. PROPOSITIO X.
[76.] PROBLEMA II. PROPOSITIO XI.
[77.] PROBLEMA III. PROPOSITIO XII.
[78.] PROBLEMA IIII. PROPOSITIO XIII.
[79.] THEOREMA X. PROPOSITIO XIIII.
[80.] THE OREMA XI. PROPOSITIO XV.
[81.] THE OREMA XII. PROPOSITIO XVI.
[82.] THE OREMA XIII. PROPOSITIO XVII.
[83.] THEOREMA XIIII. PROPOSITIO XVIII.
[84.] THEOREMA XV. PROPOSITIO XIX.
[85.] THE OREMA XVI. PROPOSITIO XX.
[86.] THEOREMA XVII. PROPOSITIO XXI.
[87.] THE OREMA XVIII. PROPOSITIO XXII.
[88.] THEOREMA XIX. PROPOSITIO XXIII.
[89.] PROBLEMA V. PROPOSITIO XXIIII.
[90.] THEOREMA XX. PROPOSITIO XXV.
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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
              <lb/>
            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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