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

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                <pb xlink:href="020/01/1953.jpg" pagenum="196"/>
              la lascerà. </s>
              <s>Provasi, perchè la linee BD (fig. </s>
              <s>83), nel mezzo della quale è
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                <figure id="id.020.01.1953.1.jpg" xlink:href="020/01/1953/1.jpg" number="274"/>
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              <s>Figura 83.
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              situato il centro matematico della Bilancia, divide la
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              quantità della Bilancia nelli due triangoli BCD, DBE,
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              li quali sono infra loro simili e eguali in figura e
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              in peso, sol si variano nella situazione. </s>
              <s>Ma per tal
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              variazione non si variano li pesi dalla linea centrale
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              del polo BD, perchè l'angolo superiore C del trian­
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              golo BCD è tanto remoto dalla linea centrale BD,
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              quanto si sia l'angolo E, come mostra la linea EP,
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              e perchè è provato non dare noia da essere più alto
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              l'un peso che l'altro, cioè l'angolo C che l'an­
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              golo E ” (ivi). </s>
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              <s>Ma per far la dimostrazione anche più precisa
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              riduceva Leonardo tutto il peso de'due triangoli
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              eguali ne'loro centri di gravità N, E, d'onde condotte le NM, EF perpen­
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              dicolari alla linea centrale BD, si rende manifesto che, rimanendo fra loro
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              in qualunque posizione l'egualità dei due triangoli rettangoli BMN, EFD,
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              anche le distanze EF, MN si serbano in qualunque modo fra loro eguali. </s>
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              Ciò che laconicamente disse Leonardo in queste parole sottoscritte alle pre­
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              cedenti: “ Noi abbiamo concluso che tal Bilancia non avrà moto, essendo
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              il suo centro matematico in mezzo a tutti li oppositi pesi fra loro eguali ” (ivi). </s>
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              <s>Questo riguardar le cose sotto vario aspetto, come ci rivelano le addotte
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              Note, per meglio certificarsi di aver veduto il vero, è indizio manifeste delle
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              contradizioni che dovette patire Leonardo dai seguaci del Nemorario, i quali
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              uscirono poi dalle private disputazioni in pubblico nelle Opere del Tarta­
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              glia e del Cardano. </s>
              <s>Nell'ottavo libro dei Quesiti il primo de'due detti Ma­
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                <figure id="id.020.01.1953.2.jpg" xlink:href="020/01/1953/2.jpg" number="275"/>
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              <s>Figura 84.
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              tematici dimostra la proposizione II di Giordano
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              concludendola, come Giordano stesso, dalla inegua­
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              lità dei momenti virtuali che, rimossa la Bilancia
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              dalla orizzontale, sollecitano la caduta de'due pesi. </s>
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              <s>Sia la Bilancia orizzontale AB (fig. </s>
              <s>84) ri­
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              mossa in DC: vuol dimostrare il Tartaglia che ivi
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              non rimarrà, perchè il peso D avendo maggior mo­
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              mento di C, viene a ridurla in basso. </s>
              <s>Che il mo­
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              mento di D sia veramente maggiore di C lo prova,
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              perchè avendo a scendere per eguale spazio, come
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              per esempio D in E, e C in F, D acquista maggiore quantità del descenso
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              essendo IH maggiore di GF. </s>
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              <s>“ Dico che il corpo B, scrive il Tartaglia, stante quel nel punto D viene
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              a esser più grave, secondo il sito, del corpo A, stante quello in ponto C,
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              perchè il decenso del detto corpo B dal ponto D nel ponto E è più rettto
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              del decenso del corpo A dal ponto C nel ponto F, per la seconda parte
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              della quarta petitione, perchè capisse più della linea della diretione, cioè che
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              nel discendere il detto corpo B dal ponto D nel ponto E, lui capisse over </s>
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