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

Page concordance

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    <archimedes>
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          <chap id="N10019">
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              <s id="N12D67">
                <pb xlink:href="077/01/085.jpg" pagenum="81"/>
              tra grauitatis habere; ac centra grauitatis MNOP intra pa­
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              rallelogramma exiſtere, quoniam parallelogramma
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              fi­
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              guræ ad eaſdem partes concauæ. </s>
              <s id="N12D75">quod quidem eodem modo
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              ab Archimede in ſe〈que〉nti ſupponitur. </s>
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            <p id="N12D79" type="margin">
              <s id="N12D7B">
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              9.
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              poſt hu­
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              ius.
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              </s>
            </p>
            <p id="N12D86" type="head">
              <s id="N12D88">PROPOSITIO. IX.</s>
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            <p id="N12D8A" type="main">
              <s id="N12D8C">Omnis parallelogrammi centrum grauitatis
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              eſt in recta linea, quæ oppoſita latera parallelo­
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              grammi bifariam diuiſa coniungit. </s>
            </p>
            <figure id="id.077.01.085.1.jpg" xlink:href="077/01/085/1.jpg" number="49"/>
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              <s id="N12D97">
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              Sit parallelogrammum ABCD, linea verò EF bifariam diuidat la
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              tera AB CD. Dico parallelogrammi ABCD centrum grauitatis eſſe
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                <lb/>
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              in linea EF. Non ſit quidem, ſed, ſi fieri poteſt, ſit H. &
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              ab ipſo
                <expan abbr="vſq;">vſ〈que〉</expan>
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              ad lineam EF
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              ducatur H
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              æquidistansipſi AB. Diuiſa verò EB
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              ſemper bifariam
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              in G. rurſuſquè EG brfariam in K; idèquè
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              ſemper fiat, tandem
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              quædam relin〈que〉tur linea,
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              putà EK,
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              minor
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              ipſa HI. Diuidaturquè vtra〈que〉 AE EB in partes
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              AN NM
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                <lb/>
              LE GO OB
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              ipſi EK æquales.
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              quod quidem fieri poteſt, quia
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              diuiſa eſt EB in partes ſemper ęquales.
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              & ex
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              his
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              diuiſionum pun
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              ctis ducantur
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              NP MQ LR kS GT OV
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              ipſi EF æquidistantes.
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              diuiſum enim erit totum parallelogrammum in parallelogramma æqualia
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              & ſimiliaipſi
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              k
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              F.
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              cùm enim ſint parallelogrammorum baſes
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              EL LM MN NA KG GO OB ipſi KE
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              parallelo­
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              grammaquè in ijſdem ſint parallelis AB CD conſtituta;
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              erunt parallelogramma æqualia. </s>
              <s id="N12DFF">ſimilia verò, quoniam
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              ſunt ęquiangula.
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              Parallelogrammis igitur æqualibus, at〈que〉
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              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>