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-s209" xml:space="preserve">
              <pb o="6" file="0006" n="14" rhead=""/>
            dere, ſicq́; </s>
            <s xml:id="echoid-s210" xml:space="preserve">binos angulos formare, angulũ ſcilicet
              <emph style="sc">CDA</emph>
            ,
              <lb/>
              <figure xlink:label="fig-0006-01" xlink:href="fig-0006-01a" number="9">
                <image file="0006-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/archimedes_repository/large/catan_belli_502_la_1600/figures/0006-01"/>
              </figure>
            & </s>
            <s xml:id="echoid-s211" xml:space="preserve">angulum
              <emph style="sc">ADE</emph>
            : </s>
            <s xml:id="echoid-s212" xml:space="preserve">qui quidem bini anguli duobus re-
              <lb/>
            ctis ſunt æquales, ex decimatertia primi Euclidis pro-
              <lb/>
            poſitione. </s>
            <s xml:id="echoid-s213" xml:space="preserve">Quilibet autem trianguli æquilateri angu-
              <lb/>
            lus æqualis eſt duabus anguli recti tertiis, quod appa-
              <lb/>
            ret ex eo, quòd cujuſlibet trianguli tres anguli duobus
              <lb/>
            rectis ſunt æquales, ex trigeſima ſecunda primi Eucli-
              <lb/>
            dis. </s>
            <s xml:id="echoid-s214" xml:space="preserve">Præterea, ex eadem propoſitione, duo anguli
              <emph style="sc">DEA</emph>
              <lb/>
            & </s>
            <s xml:id="echoid-s215" xml:space="preserve">
              <emph style="sc">EAD</emph>
            æquales ſunt duabus tertiis anguli recti: </s>
            <s xml:id="echoid-s216" xml:space="preserve">&</s>
            <s xml:id="echoid-s217" xml:space="preserve">, per
              <lb/>
            primam partem quintæ propoſitionis primi Euclidis,
              <lb/>
            duo anguli
              <emph style="sc">DEA</emph>
            & </s>
            <s xml:id="echoid-s218" xml:space="preserve">
              <emph style="sc">EAD</emph>
            ſunt æquales: </s>
            <s xml:id="echoid-s219" xml:space="preserve">vnuſquiſq; </s>
            <s xml:id="echoid-s220" xml:space="preserve">er-
              <lb/>
            go eorum æqualis tertiæ parti anguli recti: </s>
            <s xml:id="echoid-s221" xml:space="preserve">ſicq́ angu-
              <lb/>
            lus
              <emph style="sc">EAC</emph>
            tribus tertiis anguli recti æquipollebit. </s>
            <s xml:id="echoid-s222" xml:space="preserve">Ergo
              <lb/>
            angulus rectus: </s>
            <s xml:id="echoid-s223" xml:space="preserve">quod demonſtrandum ſuſceperamus.</s>
            <s xml:id="echoid-s224" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div9" type="section" level="1" n="7">
          <head xml:id="echoid-head11" xml:space="preserve">OPERATIO III.</head>
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              <emph style="sc">Data</emph>
            linea recta non terminata, & </s>
            <s xml:id="echoid-s226" xml:space="preserve">extra
              <lb/>
            eam puncto dato, ab eo puncto perpendicu-
              <lb/>
            larem ducere in dictam lineam.</s>
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