Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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FED. COMMANDINI
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          <p>
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              <pb file="0150" n="150" rhead="FED. COMMANDINI"/>
            tius figuræ inſcriptæ centrum grauitatis eſt in linea r e:
              <lb/>
            </s>
            <s xml:space="preserve">quod ſit τ: </s>
            <s xml:space="preserve">iũ-
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              <anchor type="figure" xlink:label="fig-0150-01a" xlink:href="fig-0150-01"/>
            ctaque τ f, & </s>
            <s xml:space="preserve">
              <lb/>
            producta, à
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            puncto h du-
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            catur linea a-
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            xi pyramidis
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            æquidiſtans,
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            quæ cũ linea
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            τ f conueniat
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            in φ. </s>
            <s xml:space="preserve">habebit
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            φ τ ad τ f ean-
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            dem propor-
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            tionem, quã
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            h e ad e g.
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            </s>
            <s xml:space="preserve">Quoniam igi
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            tur exceſſus,
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            quo circũſcri
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            pta figura in-
              <lb/>
            ſcriptam ſupe
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            rat, minor eſt
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            ſolido
              <emph style="sc">K</emph>
            ; </s>
            <s xml:space="preserve">py-
              <lb/>
            ramis ad eun-
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            dẽ exceſsũ ma
              <lb/>
            ioré propor-
              <lb/>
            tionȩ habet,
              <lb/>
            quàm ad _K_ ſo
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            lidum: </s>
            <s xml:space="preserve">uideli
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            cet maiorem,
              <lb/>
            quàm linea h
              <lb/>
            e ad e g; </s>
            <s xml:space="preserve">hoc
              <lb/>
            eſt quam φ τ
              <lb/>
            ad τ f: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">propterea multo maiorem habet ad partem ex-
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            ceſſus, quæ intra pyramidem comprehenditur. </s>
            <s xml:space="preserve">Itaque ha-</s>
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