Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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FED. COMMANDINI
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            teſt in portione, quæ recta linea & </s>
            <s xml:space="preserve">obtuſianguli coni ſe-
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            ctione, ſeu hyperbola continetur.</s>
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          <head xml:space="preserve">THE OREMA IIII. PROPOSITIO IIII.</head>
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              <emph style="sc">In</emph>
            circulo & </s>
            <s xml:space="preserve">ellipſiidem eſt figuræ & </s>
            <s xml:space="preserve">graui-
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            tatis centrum.</s>
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            <s xml:space="preserve">SIT circulus, uel ellipſis, cuius centrum a. </s>
            <s xml:space="preserve">Dico a gra-
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            uitatis quoque centrum eſſe. </s>
            <s xml:space="preserve">Si enim fieri poteſt, ſit b cen-
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            trum grauitatis: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">iuncta a b extra figuram in c produca
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            tur: </s>
            <s xml:space="preserve">quam uero proportionem habetlinea c a ad a b, ha-
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            beat circulus a ad alium circulum, in quo d; </s>
            <s xml:space="preserve">uel ellipſis ad
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            aliam ellipſim: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">in circulo, uel ellipſi ſigura rectilinea pla-
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            ne deſcribatur adeo, ut tandem relinquantur portiones
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            quædam minores circulo, uel ellipſid; </s>
            <s xml:space="preserve">quæ figura ſit e f g
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            h _k_ l m n. </s>
            <s xml:space="preserve">Illud uero in circulo fieri poſſe ex duodecimo
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            elementorum libro, propoſitione ſecunda manifeſte con-
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            ſtat; </s>
            <s xml:space="preserve">at in ellipſi nos demonſtra-
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              <anchor type="figure" xlink:label="fig-0122-01a" xlink:href="fig-0122-01"/>
            uinius in commentariis in quin-
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            tam propoſitionem Archimedis
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            de conoidibus, & </s>
            <s xml:space="preserve">ſphæroidibus.
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            </s>
            <s xml:space="preserve">erit igitur a centrum grauitatis
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            ipſius figuræ, quod proxime oſtē
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            dimus. </s>
            <s xml:space="preserve">Itaque quoniam circulus
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            a ad circulum d; </s>
            <s xml:space="preserve">uel ellipſis a ad
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            ellipſim d eandem proportionē
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            habet, quam linea c a ad a b: </s>
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            portiones uero ſunt minores cir
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              <anchor type="note" xlink:label="note-0122-01a" xlink:href="note-0122-01"/>
            culo uel ellipſi d: </s>
            <s xml:space="preserve">habebit circu-
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            lus, uel ellipſis ad portiones ma-
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            iorem proportionem, quàm c a
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              <anchor type="note" xlink:label="note-0122-02a" xlink:href="note-0122-02"/>
            ad a b: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">diuidendo figura recti-
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            linea e f g h _k_ l m n ad portiones</s>
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