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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            tur centrum grauitatis eius, quæ extra humidum in pro-
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            tracta, quod ſit g. </s>
            <s xml:id="echoid-s1401" xml:space="preserve">Itaque per z g ductis perpendiculari-
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            bus ad humidi ſuperficiem, quæ ipſi t h æquidiſtent; </s>
            <s xml:id="echoid-s1402" xml:space="preserve">ſequi-
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            tur portionem ipſam non manere, fed reuolui adeo, ut a-
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            xis cum ſuperficie
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              <figure xlink:label="fig-0060-01" xlink:href="fig-0060-01a" number="39">
                <image file="0060-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0060-01"/>
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            humidi angulum
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            faciat maiorẽ eo,
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            quem nunc facit.</s>
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            cõſiſtebat; </s>
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            cuũ eſt ipſam con
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            ſiſtere, ſi angulum
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            fecerit angulo b
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            æqualem. </s>
            <s xml:id="echoid-s1406" xml:space="preserve">Sic e-
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            nim eriti o æqua-
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            lis ψ b: </s>
            <s xml:id="echoid-s1407" xml:space="preserve">itemq; </s>
            <s xml:id="echoid-s1408" xml:space="preserve">ω i
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            æqualis ψ r: </s>
            <s xml:id="echoid-s1409" xml:space="preserve">& </s>
            <s xml:id="echoid-s1410" xml:space="preserve">p h ipſi f. </s>
            <s xml:id="echoid-s1411" xml:space="preserve">erit igitur m p ſeſquialtera p h;
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            <s xml:id="echoid-s1413" xml:space="preserve">p h dupla h m. </s>
            <s xml:id="echoid-s1414" xml:space="preserve">quare cum h ſit centrum grauitatis eius
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            partis, quæ eſt in humido, per eandem perpendicularem,
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            & </s>
            <s xml:id="echoid-s1415" xml:space="preserve">ipſa ſurſum, & </s>
            <s xml:id="echoid-s1416" xml:space="preserve">quæ extra eſt feretur deorſum. </s>
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            bitigitur portio; </s>
            <s xml:id="echoid-s1418" xml:space="preserve">quoniam altera pars ab altera non re-
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            pelletur.</s>
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        <div xml:id="echoid-div94" type="section" level="1" n="37">
          <head xml:id="echoid-head42" xml:space="preserve">COMMENTARIVS.</head>
          <p style="it">
            <s xml:id="echoid-s1420" xml:space="preserve">_E T ſit c b ſeſquialtera b r. </s>
            <s xml:id="echoid-s1421" xml:space="preserve">erit & </s>
            <s xml:id="echoid-s1422" xml:space="preserve">c d ipſius k r ſeſqui-_
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            _altera_.</s>
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            <s xml:id="echoid-s1424" xml:space="preserve">ſit autem & </s>
            <s xml:id="echoid-s1425" xml:space="preserve">c b quidem
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            hemiolia ipſius b r: </s>
            <s xml:id="echoid-s1426" xml:space="preserve">c d autem ipſius K r. </s>
            <s xml:id="echoid-s1427" xml:space="preserve">Sed nos quod postremo
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            loco legitur, idcirco corrigendum duximus, quoniam illud non po-
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            nitur ita eſſe, ſed ex ijs, quæ poſita ſunt, neceſſario colligitur. </s>
            <s xml:id="echoid-s1428" xml:space="preserve">ſi </s>
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