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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          <p>
            <s xml:id="echoid-s289" xml:space="preserve">
              <pb o="13" file="0013" n="21" rhead=""/>
            dato, ab eo puncto producere lineam æ qui-
              <lb/>
            diſtantem ſeu parallelam lineæ datæ.</s>
            <s xml:id="echoid-s290" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s291" xml:space="preserve">Sit linea data
              <emph style="sc">AB</emph>
            , punctum verò datum extra eam
              <lb/>
            ſit
              <emph style="sc">C</emph>
            , à puncto
              <emph style="sc">C</emph>
            ducemus lineam rectam æquidiſtan-
              <lb/>
            tem lineæ
              <emph style="sc">AB</emph>
            hunc in modum: </s>
            <s xml:id="echoid-s292" xml:space="preserve">Ducemus a puncto
              <emph style="sc">C</emph>
              <lb/>
            lineam rectam in lineam
              <emph style="sc">AB</emph>
            , quæ erit linea
              <emph style="sc">CE</emph>
            : </s>
            <s xml:id="echoid-s293" xml:space="preserve">ſicq́; </s>
            <s xml:id="echoid-s294" xml:space="preserve">ha
              <lb/>
            bebimus angulum
              <emph style="sc">CEA</emph>
            . </s>
            <s xml:id="echoid-s295" xml:space="preserve">Præterea ſupra lineam
              <emph style="sc">AB</emph>
            de-
              <lb/>
            ſcribemus angulum angulo
              <emph style="sc">CEA</emph>
            æqualem, angulum
              <lb/>
            ſcilicet
              <emph style="sc">FGA</emph>
            , idq́; </s>
            <s xml:id="echoid-s296" xml:space="preserve">per primam operationem, ſumpto
              <lb/>
            pro libito in dicta linea
              <emph style="sc">AB</emph>
            puncto
              <emph style="sc">G</emph>
            : </s>
            <s xml:id="echoid-s297" xml:space="preserve">quo facto facie-
              <lb/>
            mus lineam
              <emph style="sc">GF</emph>
            æqualem lineæ
              <emph style="sc">EC</emph>
            , per tertiam propo-
              <lb/>
            ſitionem primi Euclidis: </s>
            <s xml:id="echoid-s298" xml:space="preserve">deinde à puncto
              <emph style="sc">C</emph>
            ad pun-
              <lb/>
            ctum
              <emph style="sc">F</emph>
            ducemus lineam rectam, quæ erit
              <emph style="sc">CF</emph>
            .</s>
            <s xml:id="echoid-s299" xml:space="preserve"/>
          </p>
          <figure number="20">
            <image file="0013-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/archimedes_repository/large/catan_belli_502_la_1600/figures/0013-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s300" xml:space="preserve">Quòd ſi probare velimus lineam
              <emph style="sc">CF</emph>
            lineæ
              <emph style="sc">AB</emph>
            æqui
              <lb/>
            diſtantem eſſe, id hoc pacto fiet. </s>
            <s xml:id="echoid-s301" xml:space="preserve">Angulus
              <emph style="sc">CEA</emph>
            , & </s>
            <s xml:id="echoid-s302" xml:space="preserve">an-
              <lb/>
            gulus
              <emph style="sc">FGA</emph>
            æquales ſunt ex ipſa conſtructione: </s>
            <s xml:id="echoid-s303" xml:space="preserve">linea
              <lb/>
            igitur
              <emph style="sc">CE</emph>
            æquidiſtans eſt lineæ
              <emph style="sc">GF</emph>
            , per primam partem
              <lb/>
            vigeſimæ octauæ propoſitionis primi Euclidis. </s>
            <s xml:id="echoid-s304" xml:space="preserve">Præte-
              <lb/>
            rea linea
              <emph style="sc">GF</emph>
            facta eſt æqualis lineæ
              <emph style="sc">CE</emph>
            per conſtructio-
              <lb/>
            nem: </s>
            <s xml:id="echoid-s305" xml:space="preserve">ſicq́; </s>
            <s xml:id="echoid-s306" xml:space="preserve">per trigeſimam tertiam primi Euclidis, li-
              <lb/>
            nea
              <emph style="sc">CF</emph>
            æquidiſtans erit lineæ
              <emph style="sc">AB</emph>
            , quod erat proban-
              <lb/>
            dum.</s>
            <s xml:id="echoid-s307" xml:space="preserve"/>
          </p>
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