Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo
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              <pb o="14" file="0139" n="139" rhead="DE CENTRO GRAVIT. SOLID."/>
            ſimiliter demonſtrabitur totius priſmatis a _K_ grauitatis eſ
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            ſe centrum. </s>
            <s xml:id="echoid-s3539" xml:space="preserve">Simili ratione & </s>
            <s xml:id="echoid-s3540" xml:space="preserve">in aliis priſinatibus illud
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            idem ſacile demonſtrabitur. </s>
            <s xml:id="echoid-s3541" xml:space="preserve">Quo autem pacto in omni
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            figura rectilinea centrum grauitatis inueniatur, do cuimus
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            in commentariis in ſextam propoſitionem Archimedis de
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            quadratura parabolæ.</s>
            <s xml:id="echoid-s3542" xml:space="preserve"/>
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            <s xml:id="echoid-s3543" xml:space="preserve">Sit cylindrus, uel cylindri portio c e cuius axis a b: </s>
            <s xml:id="echoid-s3544" xml:space="preserve">ſece-
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            turq, plano per axem ducto; </s>
            <s xml:id="echoid-s3545" xml:space="preserve">quod ſectionem faciat paral-
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            lelo grammum c d e f: </s>
            <s xml:id="echoid-s3546" xml:space="preserve">& </s>
            <s xml:id="echoid-s3547" xml:space="preserve">diuiſis c f, d e bifariam in punctis
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              <figure xlink:label="fig-0139-01" xlink:href="fig-0139-01a" number="94">
                <image file="0139-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0139-01"/>
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            g h, per ea ducatur planum baſi æquidiſtans. </s>
            <s xml:id="echoid-s3548" xml:space="preserve">erit ſectio g h
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            circulus, uel ellipſis, centrum habens in axe; </s>
            <s xml:id="echoid-s3549" xml:space="preserve">quod ſit K: </s>
            <s xml:id="echoid-s3550" xml:space="preserve">at-
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              <note position="right" xlink:label="note-0139-01" xlink:href="note-0139-01a" xml:space="preserve">4. huius.</note>
            que erunt ex iis, quæ demonſtrauimus, centra grauitatis
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            planorum oppoſitorum puncta a b: </s>
            <s xml:id="echoid-s3551" xml:space="preserve">& </s>
            <s xml:id="echoid-s3552" xml:space="preserve">plani g h ipſum _k_. </s>
            <s xml:id="echoid-s3553" xml:space="preserve">in
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            quo quidem plano eſt centrum grauitatis cylindri, uel cy-
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            lindri portionis. </s>
            <s xml:id="echoid-s3554" xml:space="preserve">Dico punctum K cylindri quoque, uel cy
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            lindri portionis grauitatis centrum eſſe. </s>
            <s xml:id="echoid-s3555" xml:space="preserve">Si enim fieri po-
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            teſt, ſitl centrum: </s>
            <s xml:id="echoid-s3556" xml:space="preserve">ducaturq; </s>
            <s xml:id="echoid-s3557" xml:space="preserve">k l, & </s>
            <s xml:id="echoid-s3558" xml:space="preserve">extra figuram in m pro-
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            ducatur. </s>
            <s xml:id="echoid-s3559" xml:space="preserve">quam uero proportionem habet linea m K ad _k_ </s>
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Impressum