Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of Notes

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            extra humidi ſuperficiem, axem habetin perpendiculari
              <lb/>
            per _k_: </s>
            <s xml:id="echoid-s516" xml:space="preserve">& </s>
            <s xml:id="echoid-s517" xml:space="preserve">propter ea, quæ ſuperius dicta ſunt, centrum gra-
              <lb/>
            uitatis ipſius eſt in linea n _k_, quod ſitr; </s>
            <s xml:id="echoid-s518" xml:space="preserve">totius autem por-
              <lb/>
            tionis centrum grauitatis eſt in linea f t, inter _k_ & </s>
            <s xml:id="echoid-s519" xml:space="preserve">f, quod
              <lb/>
            ſit x. </s>
            <s xml:id="echoid-s520" xml:space="preserve">reliquæ ergo figuræ, eius ſcilicet, quæ eſt in humido,
              <lb/>
            centrum erit in rectalinea r x producta ad partes x; </s>
            <s xml:id="echoid-s521" xml:space="preserve">& </s>
            <s xml:id="echoid-s522" xml:space="preserve">aſ-
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              <figure xlink:label="fig-0028-01" xlink:href="fig-0028-01a" number="16">
                <image file="0028-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0028-01"/>
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            ſumpta ex ea linea quadam, quæ ad x r eandem habeat pro
              <lb/>
            portionem, quam grauitas portionis, quæ eſt extra humi-
              <lb/>
            dum, ad grauitatem figuræ, quæ in humido. </s>
            <s xml:id="echoid-s523" xml:space="preserve">Sit autem o
              <lb/>
            centrum dictæ figuræ: </s>
            <s xml:id="echoid-s524" xml:space="preserve">& </s>
            <s xml:id="echoid-s525" xml:space="preserve">per o perpendicularis ducatur
              <lb/>
            l o. </s>
            <s xml:id="echoid-s526" xml:space="preserve">Feretur ergo grauitas portionis quidem, quæ eſt ex-
              <lb/>
            tra humidum, per rectam r l deorſum; </s>
            <s xml:id="echoid-s527" xml:space="preserve">figuræ autem, quæ
              <lb/>
            in humido, per rectam o l ſurſum. </s>
            <s xml:id="echoid-s528" xml:space="preserve">non manet igitur flgu-
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            ra; </s>
            <s xml:id="echoid-s529" xml:space="preserve">ſed partes eius, quæ ſuntad h, deorſum ferẽtur; </s>
            <s xml:id="echoid-s530" xml:space="preserve">& </s>
            <s xml:id="echoid-s531" xml:space="preserve">quæ
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            ad e ſurſum. </s>
            <s xml:id="echoid-s532" xml:space="preserve">atque hoc ſemper erit, donec f t ſecundum
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            perpendicularem fiat.</s>
            <s xml:id="echoid-s533" xml:space="preserve"/>
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          <head xml:id="echoid-head23" xml:space="preserve">COMMENTARIVS.</head>
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            <s xml:id="echoid-s534" xml:space="preserve">ITAQVE figura, quæ extra humidi ſuperficiem,
              <lb/>
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            axem habet in perpendiculari per _k_.</s>
            <s xml:id="echoid-s535" xml:space="preserve">]</s>
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              <emph style="sc">D_vcatvr_</emph>
            enim b c, quæ ſecet lineam n k in m: </s>
            <s xml:id="echoid-s537" xml:space="preserve">ipſa uero
              <lb/>
            n k circunferentiam a b c d ſecet in g. </s>
            <s xml:id="echoid-s538" xml:space="preserve">eodem modo, quo ſupra, </s>
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