Angeli, Stefano degli, Della gravita' dell' aria e fluidi : esercitata principalmente nelli loro homogenei

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          <head xml:id="echoid-head10" xml:space="preserve">LEMMA.</head>
          <p style="it">
            <s xml:id="echoid-s2370" xml:space="preserve">Siano AB, CD, magnitudini egua-
              <lb/>
              <figure xlink:label="fig-00078-01" xlink:href="fig-00078-01a" number="19">
                <image file="00078-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/9EXVCG1R/figures/00078-01"/>
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            li, e da C D, ſia leuata D E, e
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            come A B, alla C E, coſi ſia
              <lb/>
            A F, alla C G, ſarà D G, maggio-
              <lb/>
            re della B F:</s>
            <s xml:id="echoid-s2371" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2372" xml:space="preserve">_Ofred_. </s>
            <s xml:id="echoid-s2373" xml:space="preserve">Capiſco queſta verità in vn’iſtante. </s>
            <s xml:id="echoid-s2374" xml:space="preserve">Perche eſſendo co-
              <lb/>
            me A B, a C E, coſi A F, a C G, & </s>
            <s xml:id="echoid-s2375" xml:space="preserve">eſſendo A B, maggiore della
              <lb/>
            C E, ſarà anco A F, maggiore della C G; </s>
            <s xml:id="echoid-s2376" xml:space="preserve">& </s>
            <s xml:id="echoid-s2377" xml:space="preserve">in conſeguenza
              <lb/>
            eſſendo A B, C D, eguali, ſarà G D, maggior della B F. </s>
            <s xml:id="echoid-s2378" xml:space="preserve">Il punto
              <lb/>
            ſtà a moſtrar il reſto.</s>
            <s xml:id="echoid-s2379" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2380" xml:space="preserve">_Mat._ </s>
            <s xml:id="echoid-s2381" xml:space="preserve">Già _Fama volat_ della ſua peritia, nella Geometria; </s>
            <s xml:id="echoid-s2382" xml:space="preserve">e ſe ap-
              <lb/>
            plicarà queſta verità aſtratta al concreto, vederà anco il re-
              <lb/>
            ſto. </s>
            <s xml:id="echoid-s2383" xml:space="preserve">A B, rapreſenta il momento, che ha l’aria a mbiente il
              <lb/>
            cannellino innanzi la ſua eſtenuatione; </s>
            <s xml:id="echoid-s2384" xml:space="preserve">C E rappreſenta il
              <lb/>
            momento dell’aria ſopraſtante, e del cãnellino; </s>
            <s xml:id="echoid-s2385" xml:space="preserve">& </s>
            <s xml:id="echoid-s2386" xml:space="preserve">E D, quello
              <lb/>
            della ſua acqua; </s>
            <s xml:id="echoid-s2387" xml:space="preserve">li quali momenti di A B, C D, ſono eguali, per
              <lb/>
            farſi l’quilibrio. </s>
            <s xml:id="echoid-s2388" xml:space="preserve">Eſtenuata l’aria, e ſcemato il momento, ſia
              <lb/>
            il ſcemamento del momento A B, l’A F e del momento C E,
              <lb/>
            la C G, li quali già hanno la proportione delli momenti A B,
              <lb/>
            C E, è reftaranno dell’aria eſtenuata li momenti F B, G E. </s>
            <s xml:id="echoid-s2389" xml:space="preserve">E co-
              <lb/>
            sì rimarà il momento G D, dell’aria ſopra il cannellino, e
              <lb/>
            acqua ſalita, maggiore del momento F B. </s>
            <s xml:id="echoid-s2390" xml:space="preserve">Onde, ò l’acqua
              <lb/>
            douerebbe diſcendere, ſe foſſe aſceſa, ò non aſcendere ſino
              <lb/>
            a quell’ altezza.</s>
            <s xml:id="echoid-s2391" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2392" xml:space="preserve">_Ofred_. </s>
            <s xml:id="echoid-s2393" xml:space="preserve">Che ſe hà adunque a dire?</s>
            <s xml:id="echoid-s2394" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2395" xml:space="preserve">_Mat_. </s>
            <s xml:id="echoid-s2396" xml:space="preserve">Io ſono pieno di confuſioni, ne ſaprei che dirmi per hora.
              <lb/>
            </s>
            <s xml:id="echoid-s2397" xml:space="preserve">Tanto più che in altra belliſſima eſperienza pure del Sig. </s>
            <s xml:id="echoid-s2398" xml:space="preserve">Ri-
              <lb/>
            naldini, non s’eſperimenta ſalita, ſe non vi è l’aria pre-
              <lb/>
            mente.</s>
            <s xml:id="echoid-s2399" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2400" xml:space="preserve">_Conte_. </s>
            <s xml:id="echoid-s2401" xml:space="preserve">Intendo; </s>
            <s xml:id="echoid-s2402" xml:space="preserve">anco queſta è regiſtrata dal Giornaliere di Ve-
              <lb/>
            netia ſotto il 1. </s>
            <s xml:id="echoid-s2403" xml:space="preserve">Maggio 1671.</s>
            <s xml:id="echoid-s2404" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2405" xml:space="preserve">_Matem_. </s>
            <s xml:id="echoid-s2406" xml:space="preserve">E anco poſta _nel ſuo Lib. </s>
            <s xml:id="echoid-s2407" xml:space="preserve">de Comp. </s>
            <s xml:id="echoid-s2408" xml:space="preserve">& </s>
            <s xml:id="echoid-s2409" xml:space="preserve">Reſol. </s>
            <s xml:id="echoid-s2410" xml:space="preserve">Mathem. </s>
            <s xml:id="echoid-s2411" xml:space="preserve">pag_. </s>
            <s xml:id="echoid-s2412" xml:space="preserve">158.
              <lb/>
            </s>
            <s xml:id="echoid-s2413" xml:space="preserve">Preſe egli due cilindretti di ſtagno groſſi quanto vna pen-
              <lb/>
            na da ſcriuere, e lunghi vn quarto di braccio Fiorentino, ad
              <lb/>
            vna delle baſi delli quali fece incaſtrare laminette, ò </s>
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