Cataneo, Girolamo, Hier. Cataneus de arte bellica, sive, de designandis ac construendis arcibus & propugnaculis, necnon & de iis oppugnandis, expugnandis ac propugnandis : de itinere exercitus, ac castrametatione, quando expediat manus cum hoste conserere, 1600

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          <pb o="14" file="0014" n="22" rhead=""/>
          <p>
            <s xml:id="echoid-s308" xml:space="preserve">Alio item belliſſimo modo duci poteſt linea æqui-
              <lb/>
            diſtans lineæ datæ à puncto extra eam dato. </s>
            <s xml:id="echoid-s309" xml:space="preserve">Sit da-
              <lb/>
            ta linea recta
              <emph style="sc">AB</emph>
            , extraq́; </s>
            <s xml:id="echoid-s310" xml:space="preserve">eam punctum datum
              <emph style="sc">C</emph>
            : </s>
            <s xml:id="echoid-s311" xml:space="preserve">duce
              <lb/>
            re volens à puncto
              <emph style="sc">C</emph>
            lineam æquidiſtantem lineæ
              <emph style="sc">AB</emph>
            ,
              <lb/>
            ſtatuam pedem circini immobilem in puncto
              <emph style="sc">C</emph>
            , pe-
              <lb/>
            dem verò mobilem extendam, donec attingat lineam
              <lb/>
              <emph style="sc">AB</emph>
            in puncto
              <emph style="sc">E</emph>
            : </s>
            <s xml:id="echoid-s312" xml:space="preserve">ſiſtendo, eadem circini apertura, pe-
              <lb/>
            dem immobilem in dicto puncto
              <emph style="sc">C</emph>
            , particulam arcus
              <lb/>
              <emph style="sc">D</emph>
            deſcribam. </s>
            <s xml:id="echoid-s313" xml:space="preserve">Deinceps ſtatuendo pedem immobilem
              <lb/>
            in puncto
              <emph style="sc">E</emph>
            lineæ
              <emph style="sc">AB</emph>
            , cum altero pede ſecabo lineam
              <lb/>
              <emph style="sc">AB</emph>
            in puncto
              <emph style="sc">F</emph>
            , eadem circini apertura, quæ eſt à pun-
              <lb/>
            cto
              <emph style="sc">C</emph>
            ad dictum arcum
              <emph style="sc">D</emph>
            . </s>
            <s xml:id="echoid-s314" xml:space="preserve">Præterea, figendo pedem
              <lb/>
            immobilem in puncto
              <emph style="sc">F</emph>
            , cum pede mobili ſecabimus
              <lb/>
            arcum
              <emph style="sc">D</emph>
            in puncto
              <emph style="sc">G</emph>
            , eadem circini apertura qua ſe-
              <lb/>
            cta eſt linea
              <emph style="sc">AB</emph>
            in puncto
              <emph style="sc">E</emph>
            , ſtatuendo pedem immo-
              <lb/>
            bilem in puncto
              <emph style="sc">C</emph>
            : </s>
            <s xml:id="echoid-s315" xml:space="preserve">ac à puncto
              <emph style="sc">C</emph>
            ad punctum
              <emph style="sc">G</emph>
            , duce-
              <lb/>
            mus lineam rectam, quæ erit linea
              <emph style="sc">CG</emph>
            . </s>
            <s xml:id="echoid-s316" xml:space="preserve">Dico ergo li-
              <lb/>
            neam
              <emph style="sc">CG</emph>
            æquidiſtantem eſſe lineæ
              <emph style="sc">AB</emph>
            . </s>
            <s xml:id="echoid-s317" xml:space="preserve">Quod facillimè
              <lb/>
            probari poteſt per trigeſimam quartam primi Eucli-
              <lb/>
            dis: </s>
            <s xml:id="echoid-s318" xml:space="preserve">ſupplementum enim figuræ perficiendo, latera op-
              <lb/>
            poſita æqualia erunt: </s>
            <s xml:id="echoid-s319" xml:space="preserve">quòd ſi æqualia, etiam æquidi-
              <lb/>
            ſtantia, quod erat mihi propoſitum.</s>
            <s xml:id="echoid-s320" xml:space="preserve"/>
          </p>
          <figure number="21">
            <image file="0014-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/archimedes_repository/large/catan_belli_502_la_1600/figures/0014-01"/>
          </figure>
        </div>
        <div xml:id="echoid-div12" type="section" level="1" n="9">
          <head xml:id="echoid-head13" xml:space="preserve">OPERATIO QVINTA.</head>
          <p>
            <s xml:id="echoid-s321" xml:space="preserve">
              <emph style="sc">Haec</emph>
            operatio facit ad cognoſcendum
              <lb/>
            figurasrectilineas, æqualibus velinæqualibus </s>
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