Caverni, Raffaello, Storia del metodo sperimentale in Italia, 1891-1900

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            <p type="main">
              <s>
                <pb xlink:href="020/01/314.jpg" pagenum="295"/>
              col farla oscillare, mostrando così che, allungandosi il filo al calore, la palla
                <lb/>
              fregando sulla lastra di vetro vi si arresta il suo moto (ivi, T. CXXXV, c. </s>
              <s>14). </s>
            </p>
            <p type="main">
              <s>Il Rinaldini però non così facile ad arrendersi rispondeva contro quelle
                <lb/>
              esperienze e contro quegli argomenti: “ Io non dico nè parlo del vaso con
                <lb/>
              l'acqua posto nell'acqua calda o fredda .... dico bene che l'anello ingrossa
                <lb/>
              parimenti facendosi l'accrescimento delle dimensioni per tutti i versi, che è
                <lb/>
              quello che io ho preteso ” (MSS. Cim. </s>
              <s>T. XXIV, c. </s>
              <s>16). </s>
            </p>
            <p type="main">
              <s>Contro una tal pretensione del Rinaldini e de'suoi seguaci il Borelli
                <lb/>
              scriveva che ancorchè gli desse l'animo di poter con evidenza geometrica
                <lb/>
              persuadere ai dissidenti la sua teoria, nonostante
                <emph type="italics"/>
              non sarà se non bene ocu­
                <lb/>
              latamente far loro vedere, se è possibile, che per l'inzuppamento di
                <lb/>
              qualche corpo venga l'interna superficie di un vaso accresciuta.
                <emph.end type="italics"/>
              (Fabbr. </s>
              <s>
                <lb/>
              Lett. </s>
              <s>I, 93). </s>
            </p>
            <p type="main">
              <s>L'esperienza del ricrescer gli anelli per inzuppamento di qualche li­
                <lb/>
              quido, e che fu poi veramente eseguita nell'Accademia e descritta ne'
                <emph type="italics"/>
              Saggi
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.020.01.314.1.jpg" xlink:href="020/01/314/1.jpg" number="18"/>
              </s>
            </p>
            <p type="caption">
              <s>Figura 10.
                <lb/>
              a pag. </s>
              <s>21 della citata edizione, era senza dub­
                <lb/>
              bio, meglio che per via geometrica, atta a per­
                <lb/>
              suadere l'ingegno grosso dei Peripatetici, ma
                <lb/>
              benchè il Borelli si vantasse d'aver animo da
                <lb/>
              persuaderli della verità, anche per via di geo­
                <lb/>
              metriche dimostrazioni, non si sa però che vi
                <lb/>
              si provasse. </s>
              <s>Vi si provò bene, e vi riusci da pari
                <lb/>
              suo il Viviani, il quale dimostrò, con tutto il
                <lb/>
              rigore geometrico, il seguente Teorema: “ Sia
                <lb/>
              base d'un anello di metallo o di vetro l'ar­
                <lb/>
              milla, il di cui centro sia C (fig. </s>
              <s>10) la circon­
                <lb/>
              ferenza esteriore AO, l'interiore BM, e la cir­
                <lb/>
              conferenza di mezzo DI, la quale è sempre la
                <lb/>
              misura della lunghezza o giro delle armille. </s>
              <s>Dico che, quantunque si am­
                <lb/>
              metta com'è probabile che, per l'introduzione de'corpuscoli calidi nella
                <lb/>
              solidità dell'anello, si facci la dilatazione della larghezza AB per tutti i versi,
                <lb/>
              cioè tanto per indentro che in fuori, dovendo nello stesso tempo crescere
                <lb/>
              ancora la lunghezza DI o giro dell'anello, è necessario che la interna cir­
                <lb/>
              conferenza BM si dilati ed acquisti maggior capacità ” (MSS. Gal. </s>
              <s>Disc. </s>
              <s>
                <lb/>
              T. CXLII, c. </s>
              <s>38). </s>
            </p>
            <p type="main">
              <s>Lo dimostrò in due varii modi e del primo modo mandò copia al Bo­
                <lb/>
              relli e del secondo al Rinaldini, come ivi notò l'Autore stesso di propria
                <lb/>
              mano: “ Mandatone copia al signor Borelli con lettera del 17 Novembre 1657
                <lb/>
              del primo modo, ed al signor Rinaldini, con lettera del 26 detto, del secondo
                <lb/>
              modo ”. </s>
              <s>Il Rinaldini, a quel che pare da una sua risposta del dì 3 Dicem­
                <lb/>
              bre (MSS. Cim. </s>
              <s>T. XXIV, c. </s>
              <s>24) restò persuaso dalla forza di quella geo­
                <lb/>
              metrica dimostrazione, e il Borelli pure rispondeva all'Autore che
                <emph type="italics"/>
              la gli era
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              sembrata bella e squisita quanto mai si può desiderare
                <emph.end type="italics"/>
              (ivi, c. </s>
              <s>19) ma poi
                <lb/>
              soggiunge queste parole, che il Viviani stesso qualificò per
                <emph type="italics"/>
              artificiosissime:
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
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