Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

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          <head xml:id="echoid-head710" xml:space="preserve">GEOMETRIÆ
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          CAVALERII</head>
          <head xml:id="echoid-head711" xml:space="preserve">LIBER SEPTIMVS.</head>
          <head xml:id="echoid-head712" style="it" xml:space="preserve">In quo quæcumque in antecedentibus Libris me-
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          thodo indiuiſibilium demonſtrata fuere,
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          alia ratione, ab eadem independen-
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          te, breuiter oſtenduntur.</head>
          <head xml:id="echoid-head713" xml:space="preserve">PRÆFATIO.</head>
          <p style="it">
            <s xml:id="echoid-s12351" xml:space="preserve">_G_EOMETRIAE, in ſex prioribus Libris
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            per eam, quam indiuiſibilium methodum
              <lb/>
            non incongruè appellamus, bactenus pro-
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            motę, talis fuit, qualis bucuſq; </s>
            <s xml:id="echoid-s12352" xml:space="preserve">videri po-
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            tuit, ſtructura, necnon talia, qualia iacta
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            ſunt fundamenta. </s>
            <s xml:id="echoid-s12353" xml:space="preserve">Illa quidem adeò firma,
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            atq; </s>
            <s xml:id="echoid-s12354" xml:space="preserve">inconcuſſa, eſſe decuit, vt velut ada-
              <lb/>
            mantina ſummorum ingeniorum tamquam
              <lb/>
            arietum ictrbus pulfata ne minimum quidẽ
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            nutantia agnoſcerentur: </s>
            <s xml:id="echoid-s12355" xml:space="preserve">Hoc enim Mathematicarum dignitati, ac
              <lb/>
            ſummæ certitudini, quam præ omnibus alijs humanis ſcientijs, nemi-
              <lb/>
            ne philoſopborum reclamante, ipſæ ſibi vindicarunt, maximè conue-
              <lb/>
            nire manifeſtum eſt. </s>
            <s xml:id="echoid-s12356" xml:space="preserve">An id ego ſufficienter præſtiterim a iorum iudi-
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            cio relinquam; </s>
            <s xml:id="echoid-s12357" xml:space="preserve">vnicuique enim hæc perlegenti ex animi ſui ſenten-
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            tia iudicare licebit. </s>
            <s xml:id="echoid-s12358" xml:space="preserve">Haud quidem me latet circa continui compoſi-
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            tionem, necnon circa inſinitum, plurma à philoſophis diſputari, quæ
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            meis principijs obeſſe non paucis ſortaſſe videbuntur, propterea nem-
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            pè hæſitantes i quod omnium linearum, ſeu omnium planorum, con-
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            ceptus cimerijs veluti obſeurior tenebris inapprehenſibilis videatur:
              <lb/>
            </s>
            <s xml:id="echoid-s12359" xml:space="preserve">Vel quod in continui ex indiuiſibilibus compoſitionem mea ſententia
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            prolabatur: </s>
            <s xml:id="echoid-s12360" xml:space="preserve">Vel tandem quod vnum infinitum alio maius dari poſſe
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            pro ſirmiſſimo Geometriæ ſternere auſerimfundamento, circa quæ mil-
              <lb/>
            libus, quæ paſſim in ſcholis circumferuntur argumeutis, ne </s>
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