Valerio, Luca, De centro gravitatis solidorum, 1604

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          <chap>
            <pb xlink:href="043/01/086.jpg" pagenum="78"/>
            <p type="main">
              <s>Sit coni fruſtum ABCD, cuius axis EF, fruſto autem
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              ABCD, intelligatur inſcriptum fruſtum pyramidis inſcri­
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              ptæ cono AHD, à quo abſciſsum eſt fruſtum ABCD,
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              baſim habentis æquilateram, & æquiangulam inſcriptam
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              circulo AD: quare eius centrum grauitatis, & figuræ erit
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              punctum F, vt diximus in præcedenti, axis autem FH, ſi­
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              cut etiam pyramidis abſciſsæ vna cum cono BHC, axis
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              EH, quare & reliqui fruſti pyramidis axis erit EF, igi­
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              tur in EF, ſit fruſti inſcripti fruſto ABCD, centrum gra­
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              uitatis G. </s>
              <s>Dico punctum G, eſse centrum grauitatis fru­
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              ſti ABCD. </s>
              <s>Ponatur enim
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              FL, pars quarta ipſius FH,
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              necnon EK, pars quarta ip­
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              ſius EH: punctum igitur K,
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              eſt centrum grauitatis pyra­
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              midis, & coni BHC, ſicut
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              & punctum L, pyramidis, &
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              coni AHD. cum igitur fru
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              ſti pyramidis fruſto ABCD,
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              inſcripti ſit centrum grauita­
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              tis G; erit vt GL, ad LK,
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              ita pyramis BHC, ad pyra­
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              midis fruſtum fruſto ABCD,
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              inſcriptum: ſed vt pyramis
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              BHC, ad pyramidis fruſtum
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              fruſto ABCD, inſcriptum,
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                <figure id="id.043.01.086.1.jpg" xlink:href="043/01/086/1.jpg" number="56"/>
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              ita eſt diuidendo, conus BHC, ad fruſtum ABCD, pro­
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              pter eandem triplicatam communium conis, & pyramidi­
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              bus ſimilibus laterum homologorum proportionem; vt igi­
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              tur GL, ad LK, ita erit conus BHC: ad fruſtum ABCD:
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              ſed coni BHC, centrum grauitatis erat K, & coni AHD,
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              centrum grauitatis L; fruſti igitur ABCD, centrum gra­
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              nitatis erit G. </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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