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

Table of figures

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              tuum in diversa abeuntium: quo enim acutiorem angulum constituunt, eo
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              longius provehitur mobile, ut, AB,
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              AC (fig. </s>
              <s>132) in acutum angulum
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              coeuntibus, mobile ex A in D ve­
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              nit, quo vero obtusior fuerit angu­
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              lus, eo etiam brevius est iter ipsius
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              mobilis .... ut ipsa motuum natura
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              <s>Figura 132.
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              postulat, qui nimirum sibi invicem magis adversantur, magisque in diversa
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              abeunt, se magis elidunt ” (Mechanic., libri cit., pag. </s>
              <s>103, 4). </s>
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              <s>Se il Bernoulli dunque costrinse il Vanni a ricredersi in forza di una
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              matematica dimostrazione, non facile ad arrivarsi da tutti, e non sfuggevole
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              a tutte le cavillazioni; lo avea il Casati già convinto con ragioni tanto sem­
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              plici e chiare, da non riluttarvi, se non chi patisse difetto di senso comune,
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              o avesse la mente stravolta da pregiudizii, com'avvenne a que'Matematici
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              romani, i quali s'accennava dianzi essere entrati in disputa intorno al modo
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              di computare i momenti. </s>
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              <s>Vitale Giordano, pubblicando in Roma nel 1687 una sua dissertazione
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              sopra questo argomento, dop'aver nell'avvertenza detto al Lettore essere il
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              fine del suo discorso quello di rispondere all'Autor dell'Esegesi fisico ma­
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              tematica
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              De momentis gravium,
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              soggiunge: “ Existimavit quidam non modo
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              subtilem Anonymi doctrinam hoc sophismate laborare, quod in ea compo­
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              nantur momenta gravium per additionem, cum sint revera componenda per
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              multiplicationem, verum etiam Isaacum Barrow ac R. P. </s>
              <s>Casatum sibi adsti­
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              pulari. </s>
              <s>” Aveva il Casati, nel sopra citato capitolo della sua Meccanica, scritto
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              queste precise parole: “ Re autem ipsa quod ex iis componitur momentum,
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              non ex ipsorum momentorum additione conflatur, sed ex ipsis temperatur ”
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              (pag. </s>
              <s>103). Se dunque non per addizione, vollero concluderne i disputanti,
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              per moltiplicazione si compongono i momenti, non badando a quel che di
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              più importante era negli insegnamenti del Matematico piacentino, il quale,
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              dopo avere affermato che il momento della resultante non è uguale alla
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              somma delle componenti, soggiunge
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              sed ex ipsis temperatur,
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              andando nella
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              diagonale del parallelogrammo. </s>
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              <s>Il Giordano, pregato da'suoi scolari,
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              tota ferme Europa longe dissitis,
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              a volere, in grazia loro e per utilità della Repubblica letteraria, pronun­
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              ziare la sua sentenza, dimostrò, benchè con falsi teoremi, che non si pote­
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              vano per moltiplicazione comporre i momenti, e che in tale assurdo non in­
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              corse il Casati, per le opere del quale attentamente leggendo, “ nusquam
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              inveni verbum quod eo spectet, ut momenta gravium componantur per mul­
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              tiplicationem ” (Dissert. </s>
              <s>cit., pag. </s>
              <s>4): quel che però più importava non seppe
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              nemmen egli, il Giordano, come gli altri, intendere il significato del tempe­
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              rarsi i momenti nella diagonale del parallelogrammo, nè prevalersi perciò
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              di quella dottrina, unica efficace a rispondere ai paralogismi del Vanni, che
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              era il fine del discorso, scritto dal professore nell'Archiginnasio romano. </s>
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              <s>Ebbe ancora a indugiare questa risposta infin verso alla fine del secolo, </s>
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