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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            <s xml:id="echoid-s170" xml:space="preserve">
              <pb o="4" file="0004" n="12" rhead=""/>
            dem immobilem figens in puncto
              <emph style="sc">E</emph>
            , eritq́; </s>
            <s xml:id="echoid-s171" xml:space="preserve">is arcus
              <lb/>
              <emph style="sc">GH</emph>
            . </s>
            <s xml:id="echoid-s172" xml:space="preserve">Quo facto, diuido arcum
              <emph style="sc">GH</emph>
            in duas partes
              <lb/>
            æquales in puncto
              <emph style="sc">I</emph>
            . </s>
            <s xml:id="echoid-s173" xml:space="preserve">Deinde à duobus arcubus
              <emph style="sc">MQ</emph>
            & </s>
            <s xml:id="echoid-s174" xml:space="preserve">
              <lb/>
              <emph style="sc">MP</emph>
            , detraho duos arcus, qui ſint arcubus
              <emph style="sc">IG</emph>
            & </s>
            <s xml:id="echoid-s175" xml:space="preserve">
              <emph style="sc">IH</emph>
              <lb/>
            æquales, eruntq́; </s>
            <s xml:id="echoid-s176" xml:space="preserve">ij arcus
              <emph style="sc">MN</emph>
            , & </s>
            <s xml:id="echoid-s177" xml:space="preserve">
              <emph style="sc">MO</emph>
            . </s>
            <s xml:id="echoid-s178" xml:space="preserve">Præterea à pun-
              <lb/>
            cto
              <emph style="sc">C</emph>
            ad duo puncta
              <emph style="sc">N</emph>
            & </s>
            <s xml:id="echoid-s179" xml:space="preserve">
              <emph style="sc">O</emph>
            , duco duas lineas rectas,
              <lb/>
              <emph style="sc">CR</emph>
            & </s>
            <s xml:id="echoid-s180" xml:space="preserve">
              <emph style="sc">CS</emph>
            . </s>
            <s xml:id="echoid-s181" xml:space="preserve">Atq; </s>
            <s xml:id="echoid-s182" xml:space="preserve">ita prodibit angulus rectilineus,
              <emph style="sc">RCS</emph>
            ,
              <lb/>
            angulo
              <emph style="sc">DEF</emph>
            æqualis, cujus dimidium erit ab vna par-
              <lb/>
            te lineæ
              <emph style="sc">AB</emph>
            , dimidium verò ab altera, quod facere in-
              <lb/>
            ſtitueramus, vt apparet in præcedenti figura.</s>
            <s xml:id="echoid-s183" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div7" type="section" level="1" n="6">
          <head xml:id="echoid-head10" xml:space="preserve">OPERATIO II.</head>
          <p>
            <s xml:id="echoid-s184" xml:space="preserve">
              <emph style="sc">Data</emph>
            linea recta, in eaq́; </s>
            <s xml:id="echoid-s185" xml:space="preserve">puncto dato, ab
              <lb/>
            eo puncto ducere lineam ad angulos rectos.</s>
            <s xml:id="echoid-s186" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s187" xml:space="preserve">Sit linea
              <emph style="sc">AB</emph>
            , in eaq́; </s>
            <s xml:id="echoid-s188" xml:space="preserve">punctum datum
              <emph style="sc">C</emph>
            , à quo pun-
              <lb/>
            cto ducenda ſit linea ad angulos rectos, quod ab aliis
              <lb/>
            dicitur ad perpendiculum, ſeu ad normam. </s>
            <s xml:id="echoid-s189" xml:space="preserve">Pedem
              <lb/>
            circini immobilem figo in puncto
              <emph style="sc">C</emph>
            , alterum verò pe-
              <lb/>
            dem extendo ad punctum
              <emph style="sc">B</emph>
            , vel ad aliud quoduis pũ-
              <lb/>
            ctum, quod ſit à parte
              <emph style="sc">B</emph>
            : </s>
            <s xml:id="echoid-s190" xml:space="preserve">cumq́; </s>
            <s xml:id="echoid-s191" xml:space="preserve">eadem circini apertu-
              <lb/>
            ra notabimus punctum in linea
              <emph style="sc">CA</emph>
            , non mouendo
              <lb/>
            pedem immobilem à puncto
              <emph style="sc">C</emph>
            : </s>
            <s xml:id="echoid-s192" xml:space="preserve">eritq́; </s>
            <s xml:id="echoid-s193" xml:space="preserve">punctum id
              <emph style="sc">D</emph>
            .
              <lb/>
            </s>
            <s xml:id="echoid-s194" xml:space="preserve">Hoc facto pono pedem circini immobilem in puncto
              <lb/>
              <emph style="sc">B</emph>
            , cumq́; </s>
            <s xml:id="echoid-s195" xml:space="preserve">pede mobili deſcribo lineolam
              <emph style="sc">E</emph>
            ſupra lineã
              <lb/>
              <emph style="sc">AB</emph>
            : </s>
            <s xml:id="echoid-s196" xml:space="preserve">deinde, cum eadem circini apertura, figens pedem
              <lb/>
            immobilem in pũcto
              <emph style="sc">D</emph>
            , deſcribo aliam lineolam, quæ
              <lb/>
            priorem ſecet in puncto
              <emph style="sc">F</emph>
            . </s>
            <s xml:id="echoid-s197" xml:space="preserve">Iam ab interſectionis pun-
              <lb/>
            cto ad punctum
              <emph style="sc">C</emph>
            duco lineam rectam
              <emph style="sc">FC</emph>
            , quam di-
              <lb/>
            co ductam eſſe ad angulos rectos à puncto
              <emph style="sc">C</emph>
            , vt docet
              <lb/>
            Euclides vndecima primi propoſitione, proutq́; </s>
            <s xml:id="echoid-s198" xml:space="preserve">hîc in </s>
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