DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/142.jpg" pagenum="138"/>
            <p id="N15278" type="main">
              <s id="N1527A">
                <emph type="italics"/>
              Sit portio ABC, qualis dicta eſt, & in ipſa planè inſcribatur recti­
                <lb/>
              linea figura AEFGBHIKC. portionis verò diameter ſit BD.
                <expan abbr="oſtẽ-">oſten-</expan>
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg226"/>
                <emph type="italics"/>
              dendum eſt, rectilineæ figuræ centrum grauitatiseſſe in linea BD.
                <emph.end type="italics"/>
                <expan abbr="">ium</expan>
                <lb/>
              gantur GH FI EK. quę ipſi AC, & inter ſe ęquidiſtantes
                <lb/>
              erunt. </s>
              <s id="N15299">hę verò lineæ diametrum BD ſecent in punctis NML
                <lb/>
                <arrow.to.target n="fig68"/>
                <lb/>
                <emph type="italics"/>
              Quoniam enim
                <emph.end type="italics"/>
              lineæ GH FI EK bifariam ſunt à diame­
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              tro BD diuiſæ in punctis NML, trapezium AEKC duas
                <lb/>
                <arrow.to.target n="marg227"/>
              habebit line as æquidiſtantes AC EK, quas bifariam diuidit
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              DL, quare
                <emph type="italics"/>
              trapezii AEKC centrum grauitatis est in LD. at
                <emph.end type="italics"/>
              ob
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              eandem cauſam
                <emph type="italics"/>
              trapezii EFIK centrum est in ML; trapezii verò
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              FGHI centrum est in MN.
                <emph.end type="italics"/>
              lineæ enim LM MN bifariam
                <lb/>
                <arrow.to.target n="marg228"/>
              diuidunt parallela latera EK FI GH,
                <emph type="italics"/>
              ſed & trianguli etiam
                <lb/>
              GBH centrum grauitatis eſt in BN.
                <emph.end type="italics"/>
              quippè cùm BN ipſam
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              GH bifariam diuidat.
                <emph type="italics"/>
              perſpicuum eſt totius rectilineæ figuræ
                <emph.end type="italics"/>
                <lb/>
              AEFGBHIKC
                <emph type="italics"/>
              centrum grauitatis eſſe in linea BD.
                <emph.end type="italics"/>
              quod de­
                <lb/>
              monſtrare oportebat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>