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-s784" xml:space="preserve">
              <pb o="71" file="0071" n="89" rhead=""/>
            vno pede, quia ſuprà ſtatuimus propugnaculum à pro
              <lb/>
            pugnaculo abeſſe paſſus 150. </s>
            <s xml:id="echoid-s785" xml:space="preserve">Hæc autem diſtantia
              <lb/>
            ſupputatur à fundamento vnius ad fundamentum al-
              <lb/>
            terius, nulla tamen habita ratione ipſius ſcamni. </s>
            <s xml:id="echoid-s786" xml:space="preserve">Su-
              <lb/>
            pradictis conſideratis ſtatuetur deſignatum punctum
              <lb/>
            c, diſtans à linea quæ cortinam format tribus pedibus,
              <lb/>
            ita vt bombardæ primæ feneſtræ tormentariæ poſſint
              <lb/>
            ipſam euerrere cortinam, ſi ad eam applicatæ eſſent
              <lb/>
            ab hoſtibus ſcalæ. </s>
            <s xml:id="echoid-s787" xml:space="preserve">Statuamus autem hoc punctum c
              <lb/>
            ſignatum eſſe introrſum paſſus 5 cum 4 pedibus, ita
              <lb/>
            vt deſint ei tantùm tres pedes ad ſupplendam lateris
              <lb/>
            ſpiſſitudinem, qualem ſtatuimus latam eſſe introrſum
              <lb/>
            feneſtram tormentariam, & </s>
            <s xml:id="echoid-s788" xml:space="preserve">vt apparet in infraſcripta
              <lb/>
            figura. </s>
            <s xml:id="echoid-s789" xml:space="preserve">A puncto c ad lineam
              <emph style="sc">AB</emph>
            ducemus lineam pa-
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            rallelam ſeu æquidiſtantem, quæ erit linea CD.</s>
            <s xml:id="echoid-s790" xml:space="preserve"> Et
              <lb/>
            denuò ab eodem puncto
              <emph style="sc">c</emph>
            ducetur alia linea æquidi-
              <lb/>
            ſtans lineæ
              <emph style="sc">AP</emph>
            , quæ præſeferet lateris latitudinem cum
              <lb/>
            humero propugnaculi, eritq́; </s>
            <s xml:id="echoid-s791" xml:space="preserve">linea
              <emph style="sc">QR</emph>
            : </s>
            <s xml:id="echoid-s792" xml:space="preserve">ducentur au-
              <lb/>
            tem hæ lineæ per quartam operationem, vt ex noſtra
              <lb/>
            deſcriptione colligi poteſt. </s>
            <s xml:id="echoid-s793" xml:space="preserve">A puncto
              <emph style="sc">D</emph>
            verò duce-
              <lb/>
            tur perpendicularis infinita, quæ propugnaculi fron-
              <lb/>
            tem ſecabit in puncto
              <emph style="sc">L</emph>
            : </s>
            <s xml:id="echoid-s794" xml:space="preserve">fietq́; </s>
            <s xml:id="echoid-s795" xml:space="preserve">hoc per ſecundam o-
              <lb/>
            perationem: </s>
            <s xml:id="echoid-s796" xml:space="preserve">produceturq́; </s>
            <s xml:id="echoid-s797" xml:space="preserve">linea
              <emph style="sc">DL</emph>
            aduſque punctum
              <lb/>
              <emph style="sc">F</emph>
            , pro foſſæ latitudine, vbi bombardæ primæ feneſtræ
              <lb/>
            debeunt euerrere murum extrinſecum, (Galli con-
              <lb/>
            trcſcazpc.) </s>
            <s xml:id="echoid-s798" xml:space="preserve">Latitudo autem ipſius foſſæ minor eſſe non
              <lb/>
            debet, quàm ſunt latus & </s>
            <s xml:id="echoid-s799" xml:space="preserve">humerus propugnaculi. </s>
            <s xml:id="echoid-s800" xml:space="preserve">Iam,
              <lb/>
            ad inueſtigandam latitudinem extrinſecam primæ fe-
              <lb/>
            neſtræ, dicemus, Si linea
              <emph style="sc">CD</emph>
            , quæ eſt paſſuum 182
              <lb/>
            cum duobus pedibus, mihi dat lineam
              <emph style="sc">DF</emph>
            , quæ eſt
              <lb/>
            paſſuum 47, quid mihi dabit linea
              <emph style="sc">QA</emph>
            , quæ eſt paſ- </s>
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