Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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              <pb file="0152" n="152" rhead="FED. COMMANDINI"/>
            da figura, & </s>
            <s xml:id="echoid-s3818" xml:space="preserve">altera circumſcribatur ex cylindris, uel cylin-
              <lb/>
            dri portionibus, ſicuti dictum eſt, ita ut exceſſus, quo figu-
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            ra circumſcripta inſcriptam ſuperat, ſit ſolido g minor.
              <lb/>
            </s>
            <s xml:id="echoid-s3819" xml:space="preserve">Itaque centrum grauitatis cylindri, uel cylindri portionis
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            q r eſt in linea p o; </s>
            <s xml:id="echoid-s3820" xml:space="preserve">cylindri, uel cylindri portionis st cen-
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            trum in linea on; </s>
            <s xml:id="echoid-s3821" xml:space="preserve">centrum u x in linea n m; </s>
            <s xml:id="echoid-s3822" xml:space="preserve">y z in m b; </s>
            <s xml:id="echoid-s3823" xml:space="preserve">η @
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            in 1k; </s>
            <s xml:id="echoid-s3824" xml:space="preserve">λ μ in K h; </s>
            <s xml:id="echoid-s3825" xml:space="preserve">& </s>
            <s xml:id="echoid-s3826" xml:space="preserve">denique ν π centrum in h d. </s>
            <s xml:id="echoid-s3827" xml:space="preserve">ergo figu-
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            ræ inſcriptæ centrum eſt in linea p d. </s>
            <s xml:id="echoid-s3828" xml:space="preserve">Sitautem ρ: </s>
            <s xml:id="echoid-s3829" xml:space="preserve">& </s>
            <s xml:id="echoid-s3830" xml:space="preserve">iun-
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            cta ρ e protendatur, ut cum linea, quæ à pũctoc ducta fue-
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            rit axi æquidiſtans, conueniat in σ. </s>
            <s xml:id="echoid-s3831" xml:space="preserve">erit σ ζ ad ρ e, ut c d
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            ad d f: </s>
            <s xml:id="echoid-s3832" xml:space="preserve">& </s>
            <s xml:id="echoid-s3833" xml:space="preserve">conus, ſeu coni portio ad exceſſum, quo circum-
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            ſcripta figura inſcriptam ſuperat, habebit maiorem pro-
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            portionem, quàm σ ζ ad ρ e. </s>
            <s xml:id="echoid-s3834" xml:space="preserve">ergo ad partem exceſſus, quæ
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            intra ipſius ſuperficiem comprehenditur, multo maiorem
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            proportionem habebit. </s>
            <s xml:id="echoid-s3835" xml:space="preserve">habeat eam, quam τ ρ ad ρ e. </s>
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