Zanotti, Francesco Maria, Della forza de' corpi che chiamano viva libri tre, 1752

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            <s xml:id="echoid-s2878" xml:space="preserve">
              <pb o="202" file="0226" n="226" rhead="DELLA FORZA DE’ CORPI"/>
            termine, in cui finiſce la ſerie. </s>
            <s xml:id="echoid-s2879" xml:space="preserve">Ne viene, riſpoſi
              <lb/>
            io, il nulla, cioè non ne vien nulla; </s>
            <s xml:id="echoid-s2880" xml:space="preserve">che mi di
              <unsure/>
            te
              <lb/>
            voi dunque, che ne viene un termine? </s>
            <s xml:id="echoid-s2881" xml:space="preserve">Anzi i
              <unsure/>
            o ſo-
              <lb/>
            ſtengo, che ſe levando dall’ 1 l’ unità non ne vien
              <lb/>
            nulla, queſto è argomento, che la ſerie è finita in
              <lb/>
            quell’ 1 ; </s>
            <s xml:id="echoid-s2882" xml:space="preserve">e quell’ 1 è l’ ultimo termine della ſerie.
              <lb/>
            </s>
            <s xml:id="echoid-s2883" xml:space="preserve">Pur, diſſe il Signor Marcheſe, niun matematico,
              <lb/>
            tenendo dietro a quella ſerie, ſi fermerà nell’ 1; </s>
            <s xml:id="echoid-s2884" xml:space="preserve">
              <lb/>
            ma tutti procederanno fino al zero, avendolo per
              <lb/>
            un termine. </s>
            <s xml:id="echoid-s2885" xml:space="preserve">Se voi, diſſi, volete ſeguire l’ imma-
              <lb/>
            ginazione dei matematici, non che al zero, ma
              <lb/>
            procederanno più oltre, e vi moſtreranno altri
              <lb/>
            ed altri numeri minori del zero ſteſſo: </s>
            <s xml:id="echoid-s2886" xml:space="preserve">- 1,
              <lb/>
            -2, -3, e continveranno così la ſerie in infini-
              <lb/>
            to. </s>
            <s xml:id="echoid-s2887" xml:space="preserve">Ma queſte non ſono altro, che eſpreſſioni vio-
              <lb/>
            lente dei matematici, che eglino ſteſſi non bene in-
              <lb/>
            tendono; </s>
            <s xml:id="echoid-s2888" xml:space="preserve">e che lor ſi permettono, perchè anche
              <lb/>
            con eſſe, uſandole con certa regola, ſi conducono
              <lb/>
            al vero. </s>
            <s xml:id="echoid-s2889" xml:space="preserve">E ſimilmente lor ſi permette di innalzare
              <lb/>
            qualſiſia linea a qualſiſia dimenſione, chiuden-
              <lb/>
            do nelle loro eſpreſſioni quello, che non poſ-
              <lb/>
            ſon comprender nell’ animo. </s>
            <s xml:id="echoid-s2890" xml:space="preserve">Ma eſſi hanno ri-
              <lb/>
            dotto ad arte quell’ ardimento, e ne traggono
              <lb/>
            la verità. </s>
            <s xml:id="echoid-s2891" xml:space="preserve">Per la qual coſa ſe noi vogliamo una
              <lb/>
            ſerie, la qual ſia, non nella immaginazione
              <lb/>
            dei matematici, ma nella natura, non è da crede-
              <lb/>
            re, che entrino in eſſa ne il zero, ne il -1, ne
              <lb/>
            il -2, ne quegli altri termini, che diconſi eſſer
              <lb/>
            minori del nulla; </s>
            <s xml:id="echoid-s2892" xml:space="preserve">ma la ſerie ſi terminerà nell’ u-
              <lb/>
            nità ; </s>
            <s xml:id="echoid-s2893" xml:space="preserve">e ſe vorrà la natura aggiungere alcuna </s>
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