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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            ſuum 5 cum 4 pedibus. </s>
            <s xml:id="echoid-s801" xml:space="preserve">Multiplicando paſſus 47,
              <lb/>
            cum paſſibus 5 & </s>
            <s xml:id="echoid-s802" xml:space="preserve">pedibus 4, prodibunt paſſus 272 & </s>
            <s xml:id="echoid-s803" xml:space="preserve">
              <lb/>
            pedes 3: </s>
            <s xml:id="echoid-s804" xml:space="preserve">hos autem paſſus 272 pedes 3 diuidemus per
              <lb/>
            paſſus 182 & </s>
            <s xml:id="echoid-s805" xml:space="preserve">pedes 2, prodibunt pedes 7 cum dimi-
              <lb/>
            dio pro latitudine extrinſeca primæ feneſtræ tormen-
              <lb/>
            tariæ: </s>
            <s xml:id="echoid-s806" xml:space="preserve">& </s>
            <s xml:id="echoid-s807" xml:space="preserve">ad hos 7 pedes cum dimidio addemus pe-
              <lb/>
            dem vnum pro parte ipſius latitudinis, ad liberiorem
              <lb/>
            bombardæ deambulationem: </s>
            <s xml:id="echoid-s808" xml:space="preserve">itaq́; </s>
            <s xml:id="echoid-s809" xml:space="preserve">fient pedes 8 cum
              <lb/>
            dimidio, tantaq́; </s>
            <s xml:id="echoid-s810" xml:space="preserve">erit latitudo extrinſeca primæ fene-
              <lb/>
            ſtræ tormentariæ. </s>
            <s xml:id="echoid-s811" xml:space="preserve">Ad habendam autem latitudinem
              <lb/>
            ſecundæ feneſtræ, primò ſumetur latitudo primæ,
              <lb/>
            ſemipede addito pro libera deambulatione bombar-
              <lb/>
            dæ: </s>
            <s xml:id="echoid-s812" xml:space="preserve">ſtatuamus autem illam eſſe paſſuum 6: </s>
            <s xml:id="echoid-s813" xml:space="preserve">auferemus
              <lb/>
            à linea
              <emph style="sc">AP</emph>
            , initium ſumentes à linea
              <emph style="sc">CD</emph>
            , paſſus 6, ad-
              <lb/>
            uſque punctum
              <emph style="sc">N</emph>
            , & </s>
            <s xml:id="echoid-s814" xml:space="preserve">à puncto
              <emph style="sc">N</emph>
            ducemus lineam æ-
              <lb/>
            quidiſtantem lineæ
              <emph style="sc">CD</emph>
            , quæ erit linea
              <emph style="sc">NO</emph>
            : </s>
            <s xml:id="echoid-s815" xml:space="preserve">deinde di-
              <lb/>
            cemus, Si paſſus 75 cum tribus pedibus,
              <emph style="sc">AI</emph>
            ſcilicet
              <lb/>
            cortinæ dimidium, mihi dant lineam
              <emph style="sc">AN</emph>
            , tribus pedi-
              <lb/>
            bus exceptis, quæ ſic erit paſſuum 6, quid mihi dabit
              <lb/>
            linea
              <emph style="sc">NO</emph>
            , quæ eſt paſſuum 5 cum pedibus 4? </s>
            <s xml:id="echoid-s816" xml:space="preserve">Si multi-
              <lb/>
            plices paſſus 5, & </s>
            <s xml:id="echoid-s817" xml:space="preserve">pedes 4, cum paſſibus 6, prodibunt
              <lb/>
            paſſus 34 cum pedibus 4, diuidendi per paſſus 75 cum
              <lb/>
            3 pedibus. </s>
            <s xml:id="echoid-s818" xml:space="preserve">At paſſus 34 cum pedibus 4 diuidi non
              <lb/>
            poſſunt per paſſus 75 cum 3 pedibus: </s>
            <s xml:id="echoid-s819" xml:space="preserve">paſſus igitur il-
              <lb/>
            los 34 cum 4 pedibus in pedes reducemus, multipli-
              <lb/>
            cando vnumquemque paſſum per 5, prodibunt 174,
              <lb/>
            quos diuidemus per paſſus 75 cum 3 pedibus, prodi-
              <lb/>
            bunt duo pedes, ac paulo plus: </s>
            <s xml:id="echoid-s820" xml:space="preserve">tantaq́; </s>
            <s xml:id="echoid-s821" xml:space="preserve">erit linea
              <emph style="sc">OG</emph>
            .
              <lb/>
            </s>
            <s xml:id="echoid-s822" xml:space="preserve">Iam à puncto
              <emph style="sc">G</emph>
            ducam lineam æquidiſtantem lineæ
              <lb/>
              <emph style="sc">CD</emph>
            , quæ erit linea
              <emph style="sc">GH</emph>
            infinita. </s>
            <s xml:id="echoid-s823" xml:space="preserve">A puncto autem
              <emph style="sc">F</emph>
            an-
              <lb/>
            guli propugnaculi ducemus lineam perpendicularem </s>
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