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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            Partiemur ergo quatuor angulos rectos, per quatuor
              <lb/>
            angulos quos figura complectitur. </s>
            <s xml:id="echoid-s341" xml:space="preserve">Quilibet igitur an-
              <lb/>
            gulus quadrati angulo recto æqualis eſt. </s>
            <s xml:id="echoid-s342" xml:space="preserve">Tertiò, Penta
              <lb/>
            gonum æquale eſt ſex angulis rectis, partiemur hoſce
              <lb/>
            ſex angulos per quinque angulos quos figura comple-
              <lb/>
            ctitur, prodibit angulus rectus, cũ quinta parte alterius.
              <lb/>
            </s>
            <s xml:id="echoid-s343" xml:space="preserve">Ac cum hoc canone innoteſcet nobis vnuſquiſque an
              <lb/>
            gulus figuræ æquilateræ & </s>
            <s xml:id="echoid-s344" xml:space="preserve">æquiangulæ, quanto major
              <lb/>
            vel minor ſit angulo recto. </s>
            <s xml:id="echoid-s345" xml:space="preserve">Verùm hunc canonem me-
              <lb/>
            liùs & </s>
            <s xml:id="echoid-s346" xml:space="preserve">Geometricè explicemus. </s>
            <s xml:id="echoid-s347" xml:space="preserve">Primò ad indagandum
              <lb/>
            Trianguli æquilateri angulum an major vel minor ſit
              <lb/>
            recto, deſcribatur angulus rectus, vt factum eſt in pri-
              <lb/>
            ma figura ſequenti. </s>
            <s xml:id="echoid-s348" xml:space="preserve">Præterea diuidatur angulus hic re-
              <lb/>
            ctus in tres partes æquales, deſcribendo portionem
              <lb/>
            circuli, vt apparet in ſecunda figura. </s>
            <s xml:id="echoid-s349" xml:space="preserve">Ex his tribus par-
              <lb/>
            tibus duas ſumo, ad quarum extremitatem ab angulo
              <lb/>
            recto duco lineam, vt videre eſt in figura. </s>
            <s xml:id="echoid-s350" xml:space="preserve">Atque hoc
              <lb/>
            modo habeo angulum Trianguli æquilateri. </s>
            <s xml:id="echoid-s351" xml:space="preserve">Angulus
              <lb/>
            quadrati æqualis eſt angulo recto. </s>
            <s xml:id="echoid-s352" xml:space="preserve">Aſt, ad formandum
              <lb/>
            Pentagoni angulum, diuidemus angulum rectum in
              <lb/>
            quinque partes æquales, vt apparet in tertia figura. </s>
            <s xml:id="echoid-s353" xml:space="preserve">At
              <lb/>
            quoniam angulus pentagoni æqualis eſt angulo vni
              <lb/>
            recto, cum alterius quinta parte, ſumemus vnam ex il-
              <lb/>
            lis partibus, qua adjuncta angulo recto, ducemus li-
              <lb/>
            neam ab angulo recto ad finem illius additamenti, ha-
              <lb/>
            bebimusq́; </s>
            <s xml:id="echoid-s354" xml:space="preserve">effictum angulum Pentagoni æqui-
              <lb/>
            lateri, vt apparet infrà. </s>
            <s xml:id="echoid-s355" xml:space="preserve">Ac ſecundùm hunc
              <lb/>
            canonem fieri poterit omnis ope-
              <lb/>
            ratio, vt videre eſt in ſe-
              <lb/>
            quentibus fi-
              <lb/>
            guris.</s>
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