Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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              <pb o="24" file="0159" n="159" rhead="DE CENTRO GRAVIT. SOLID."/>
            los contineant. </s>
            <s xml:id="echoid-s3955" xml:space="preserve">Dico ſolidum a b ad ſolidum a c eãdem ha
              <lb/>
            bere proportionem, quam axis d e ad axem e f. </s>
            <s xml:id="echoid-s3956" xml:space="preserve">Sienim
              <lb/>
            axes in eadem recta linea fuerint conſtituti, hæc duo ſoli-
              <lb/>
            da, in unum, atque i @m ſolidum conuenient. </s>
            <s xml:id="echoid-s3957" xml:space="preserve">quare ex
              <lb/>
            iis, quæ proxime tradita ſunt, habebit ſolidum a b ad ſo-
              <lb/>
            lidum a c eandem proportionem, quam axis d e ad e f
              <lb/>
            axem. </s>
            <s xml:id="echoid-s3958" xml:space="preserve">Siuero axes non ſint in eadem recta linea, demittan
              <lb/>
            tur a punctis d, f perpendiculares ad baſis planum, d g, fh:
              <lb/>
            </s>
            <s xml:id="echoid-s3959" xml:space="preserve">& </s>
            <s xml:id="echoid-s3960" xml:space="preserve">iungantur e g, e h. </s>
            <s xml:id="echoid-s3961" xml:space="preserve">Quoniam igitur axes cum baſibus
              <lb/>
            æquales angulos eontinent, erit d e g angulus æqualis an-
              <lb/>
            gulo f e h: </s>
            <s xml:id="echoid-s3962" xml:space="preserve">& </s>
            <s xml:id="echoid-s3963" xml:space="preserve">ſunt
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              <figure xlink:label="fig-0159-01" xlink:href="fig-0159-01a" number="114">
                <image file="0159-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0159-01"/>
              </figure>
            anguli ad g h re-
              <lb/>
            cti, quare & </s>
            <s xml:id="echoid-s3964" xml:space="preserve">re-
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            liquus e d g æqua
              <lb/>
            lis erit reliquo
              <lb/>
            e fh: </s>
            <s xml:id="echoid-s3965" xml:space="preserve">& </s>
            <s xml:id="echoid-s3966" xml:space="preserve">triangu-
              <lb/>
            lum d e g triãgu-
              <lb/>
            lo f e h ſimile. </s>
            <s xml:id="echoid-s3967" xml:space="preserve">er-
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            go g d ad d e eſt,
              <lb/>
            ut h f ad f e: </s>
            <s xml:id="echoid-s3968" xml:space="preserve">& </s>
            <s xml:id="echoid-s3969" xml:space="preserve">per
              <lb/>
            mutando g d ad
              <lb/>
            h f, ut d e ad e f.
              <lb/>
            </s>
            <s xml:id="echoid-s3970" xml:space="preserve">Sed ſolidum a b
              <lb/>
            ad ſolidum a c
              <lb/>
            eandem propor-
              <lb/>
            tionem habet,
              <lb/>
            quam d g altitu-
              <lb/>
            do ad altitudinẽ
              <lb/>
            f h. </s>
            <s xml:id="echoid-s3971" xml:space="preserve">ergo & </s>
            <s xml:id="echoid-s3972" xml:space="preserve">ean-
              <lb/>
            dẽ habebit, quã
              <lb/>
            axis d e a l e f axẽ</s>
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            <s xml:id="echoid-s3973" xml:space="preserve">Poſtremo ſint
              <lb/>
            ſolida parallelepi
              <lb/>
            peda a b, c d </s>
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