Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[21.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER SECVNDVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. PROPOSITIO I.
[22.] PROPOSITIO II.
[23.] COMMENTARIVS.
[24.] PROPOSITIO III.
[25.] PROPOSITIO IIII.
[26.] COMMENTARIVS.
[27.] PROPOSITIO V.
[28.] COMMENTARIVS.
[29.] PROPOSITIO VI.
[30.] COMMENTARIVS.
[31.] LEMMAI.
[32.] LEMMA II.
[33.] LEMMA III.
[34.] LEMMA IIII.
[35.] PROPOSITIO VII.
[36.] PROPOSITIO VIII.
[37.] COMMENTARIVS.
[38.] PROPOSITIO IX.
[39.] COMMENTARIVS.
[40.] PROPOSITIO X.
[41.] COMMENTARIVS.
[42.] LEMMA I.
[43.] LEMMA II.
[44.] LEMMA III.
[45.] LEMMA IIII.
[46.] LEMMA V.
[47.] LEMMA VI.
[48.] II.
[49.] III.
[50.] IIII.
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            <s xml:id="echoid-s3817" xml:space="preserve">
              <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-
              <lb/>
            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
              <lb/>
            q r eſt in linea p o; </s>
            <s xml:id="echoid-s3820" xml:space="preserve">cylindri, uel cylindri portionis st cen-
              <lb/>
            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 @
              <lb/>
            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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              <figure xlink:label="fig-0152-01" xlink:href="fig-0152-01a" number="105">
                <image file="0152-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0152-01"/>
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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
              <lb/>
            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
              <lb/>
            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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