Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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FED. COMMANDINI
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              <pb file="0204" n="204" rhead="FED. COMMANDINI"/>
            ioris baſis ad quadratum minoris: </s>
            <s xml:space="preserve">centrum ſit in
              <lb/>
            eo axis puncto, quo ita diuiditur ut pars, quæ mi
              <lb/>
            norem baſim attingit ad alteram partem eandem
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            proportionem habeat, quam dempto quadrato
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            minoris baſis à duabus tertiis quadrati maioris,
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            habet id, quod reliquum eſt unà cum portione à
              <lb/>
            tertia quadrati maioris parte dempta, ad reliquà
              <lb/>
            eiuſdem tertiæ portionem.</s>
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            <s xml:space="preserve">SIT fruſtum à portione rectanguli conoidis abſciſſum
              <lb/>
            a b c d, cuius maior baſis circulus, uel ellipſis circa diame-
              <lb/>
            trum b c, minor circa diametrum a d; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">axis e f. </s>
            <s xml:space="preserve">deſcriba-
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            tur autem portio conoidis, à quo illud abſciſſum eſt, & </s>
            <s xml:space="preserve">pla-
              <lb/>
              <anchor type="figure" xlink:label="fig-0204-01a" xlink:href="fig-0204-01"/>
            no per axem ducto ſecetur; </s>
            <s xml:space="preserve">ut ſuperficiei ſectio ſit parabo-
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            le b g c, cuius diameter, & </s>
            <s xml:space="preserve">axis portionis g f: </s>
            <s xml:space="preserve">deinde g f diui
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            datur in puncto h, ita ut g h ſit dupla h f: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">rurſus g e in ean
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            dem proportionem diuidatur: </s>
            <s xml:space="preserve">ſitq; </s>
            <s xml:space="preserve">g _k_ ipſius k e dupla. </s>
            <s xml:space="preserve">Iã
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            ex iis, quæ proxime demonſtrauimus, conſtat centrum gra
              <lb/>
            uitatis portionis b g c eſſe h punctum: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">portionis a g c
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            punctum k. </s>
            <s xml:space="preserve">ſumpto igitur infra h punctol, ita ut k h ad h l</s>
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