Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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FED. COMMANDINI
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              <pb file="0142" n="142" rhead="FED. COMMANDINI"/>
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            linea x cum ſit minor circulo, uel ellipſi, eſt etiam minor fi-
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            gura rectilinea y. </s>
            <s xml:space="preserve">ergo pyramis x pyramide y minor erit.
              <lb/>
            </s>
            <s xml:space="preserve">Sed & </s>
            <s xml:space="preserve">maior; </s>
            <s xml:space="preserve">quod fieri nõ poteſt. </s>
            <s xml:space="preserve">At ſi conus, uel coni por
              <lb/>
            tio x ponatur minor pyramide y: </s>
            <s xml:space="preserve">ſit alter conus æque al-
              <lb/>
            tus, uel altera coni portio χ ipſi pyramidi y æqualis. </s>
            <s xml:space="preserve">erit
              <lb/>
            eius baſis circulus, uel ellipſis maior circulo, uel ellipſi x,
              <lb/>
            quorum exceſſus ſit ſpacium ω. </s>
            <s xml:space="preserve">Siigitur in circulo, uel elli-
              <lb/>
            pſi χ figura rectilinea deſcribatur, ita ut portiones relictæ
              <lb/>
            ſint ω ſpacio minores, eiuſinodi figura adhuc maior erit cir
              <lb/>
            culo, uel ellipſi x, hoc eſt figura rectilinea _y_. </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">p_y_ramis in
              <lb/>
            ea conſtituta minor cono, uel coni portione χ, hoc eſt mi-
              <lb/>
            nor p_y_ramide_y_. </s>
            <s xml:space="preserve">eſt ergo ut χ figura rectilinea ad figuram
              <lb/>
            rectilineam _y_, ita pyramis χ ad pyramidem _y_. </s>
            <s xml:space="preserve">quare cum
              <lb/>
            figura rectilinea χ ſit maior figura_y_: </s>
            <s xml:space="preserve">erit & </s>
            <s xml:space="preserve">p_y_ramis χ p_y_-
              <lb/>
            ramide_y_ maior. </s>
            <s xml:space="preserve">ſed erat minor; </s>
            <s xml:space="preserve">quod rurſus fieri non po-
              <lb/>
            teſt. </s>
            <s xml:space="preserve">non eſt igitur conus, uel coni portio x neque maior,
              <lb/>
            neque minor p_y_ramide_y_. </s>
            <s xml:space="preserve">ergo ipſi neceſſario eſt æqualis. </s>
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            Itaque quoniam ut conus ad conum, uel coni portio ad co</s>
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