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

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            <s xml:id="echoid-s3889" xml:space="preserve">
              <pb o="40" file="00134" n="134" rhead="DIALOGO"/>
            _demoſtratur hoe geometricè à mathematicis; </s>
            <s xml:id="echoid-s3890" xml:space="preserve">ſed omitto_.</s>
            <s xml:id="echoid-s3891" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3892" xml:space="preserve">_Mat_. </s>
            <s xml:id="echoid-s3893" xml:space="preserve">Queſte parole mi paiono aſſai confuſe; </s>
            <s xml:id="echoid-s3894" xml:space="preserve">ne so vedere di-
              <lb/>
            ſtintamente il loro ſignificato. </s>
            <s xml:id="echoid-s3895" xml:space="preserve">In tutti li caſi, Archimede,
              <lb/>
            che è quello, che ha demoſtrato queſta materia _nel ſuo am-_
              <lb/>
            _mirabile libretto de inſi hum. </s>
            <s xml:id="echoid-s3896" xml:space="preserve">prop_. </s>
            <s xml:id="echoid-s3897" xml:space="preserve">6. </s>
            <s xml:id="echoid-s3898" xml:space="preserve">parla come l’habbiamo
              <lb/>
            immitato noi. </s>
            <s xml:id="echoid-s3899" xml:space="preserve">Cioe, _ſolida leuiora humido vipreſſa in humidum_
              <lb/>
            _ſurſum feruntur tanta vi, quanta humidum habens molem æqualem_
              <lb/>
            _cum magnitudine eſt grauius ipſa_. </s>
            <s xml:id="echoid-s3900" xml:space="preserve">Conforme adunque à que-
              <lb/>
            ſt a fraſe _repellet deprimentem_ conlecceſſo.</s>
            <s xml:id="echoid-s3901" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3902" xml:space="preserve">_Ofr_. </s>
            <s xml:id="echoid-s3903" xml:space="preserve">Se ſono vere le ſue dottrine dichiarate di ſopra, parmi
              <lb/>
            che ne meno il Galileo parli eſquiſitamente _in quella ſuæ_
              <lb/>
            _prima prop. </s>
            <s xml:id="echoid-s3904" xml:space="preserve">de galleg. </s>
            <s xml:id="echoid-s3905" xml:space="preserve">e nella pag 7_. </s>
            <s xml:id="echoid-s3906" xml:space="preserve">perche in realta l’acqua,
              <lb/>
            che s’alza, e che s’abbaſſa nell’immerger, o eſtrare il galleg
              <lb/>
            giante non è vguale alla parte ſommerſa ſotto, ò eſtratta
              <lb/>
            ſopra il primo liuello, ma di eſſa ſempre maggiore.</s>
            <s xml:id="echoid-s3907" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3908" xml:space="preserve">_Mat_. </s>
            <s xml:id="echoid-s3909" xml:space="preserve">La propoſitione del Galileo può eſſer e vera, e falſa Ve-
              <lb/>
            ra ſe s’intende di quella, che s’alza ſopra, e che s’abbaſſa
              <lb/>
            ſotto il primo liuello; </s>
            <s xml:id="echoid-s3910" xml:space="preserve">falſa ſe s intende di quella, che s’al-
              <lb/>
            za, & </s>
            <s xml:id="echoid-s3911" xml:space="preserve">abbaſſa aſſolutamente; </s>
            <s xml:id="echoid-s3912" xml:space="preserve">poiche queſta ſempre, ſem-
              <lb/>
            pre è maggiore della detta parte del galleggiante. </s>
            <s xml:id="echoid-s3913" xml:space="preserve">Ma ill
              <lb/>
            Galileo, per ottener il ſuo intento, non ha biſogno dell’in-
              <lb/>
            vgualità nel primo ſenſo, ma nel ſecondo.</s>
            <s xml:id="echoid-s3914" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3915" xml:space="preserve">_Cont_. </s>
            <s xml:id="echoid-s3916" xml:space="preserve">Io oſſeruo vn’altra cola; </s>
            <s xml:id="echoid-s3917" xml:space="preserve">cioè che la dottrina di V. </s>
            <s xml:id="echoid-s3918" xml:space="preserve">S. </s>
            <s xml:id="echoid-s3919" xml:space="preserve">mi
              <lb/>
            par vera quando l’acqua AFLB, è vguale al galleggiante
              <lb/>
            BLOD, ma quando è minore, per eſſer più anguſto il vaſo,
              <lb/>
            allora non combatte con acqua vguale ad eſſo, ma con
              <lb/>
            minore.</s>
            <s xml:id="echoid-s3920" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3921" xml:space="preserve">_Mat_. </s>
            <s xml:id="echoid-s3922" xml:space="preserve">Sempre però con l’acqua AFLB, alta quant’è eſſa. </s>
            <s xml:id="echoid-s3923" xml:space="preserve">V.</s>
            <s xml:id="echoid-s3924" xml:space="preserve">S.
              <lb/>
            </s>
            <s xml:id="echoid-s3925" xml:space="preserve">ha ragione. </s>
            <s xml:id="echoid-s3926" xml:space="preserve">Deue però ſapere che la pietra lidia di parago
              <lb/>
            nare li momẽti delle coſe graui è l’vgualita. </s>
            <s xml:id="echoid-s3927" xml:space="preserve">Il fondamento
              <lb/>
            di tutta la Mecanica ſuppoſto da Archimede nel principio
              <lb/>
            _del lib. </s>
            <s xml:id="echoid-s3928" xml:space="preserve">1. </s>
            <s xml:id="echoid-s3929" xml:space="preserve">æ quipond. </s>
            <s xml:id="echoid-s3930" xml:space="preserve">è. </s>
            <s xml:id="echoid-s3931" xml:space="preserve">Grauia ęqualia, æquali diſtantia poſita, in-_
              <lb/>
            _ter ſe æqualiter ponderare_. </s>
            <s xml:id="echoid-s3932" xml:space="preserve">Da queſto le ne cauano le ſue _prop_
              <lb/>
            7. </s>
            <s xml:id="echoid-s3933" xml:space="preserve">& </s>
            <s xml:id="echoid-s3934" xml:space="preserve">8. </s>
            <s xml:id="echoid-s3935" xml:space="preserve">ci
              <unsure/>
            oe che le moli appefe da diſtanze reciproche alle
              <lb/>
            loro grauita habbiano momenti vguali. </s>
            <s xml:id="echoid-s3936" xml:space="preserve">Da queſto pari-
              <lb/>
            mente ne ſegue quello, che comunemente aſſeriſcono tut-
              <lb/>
            ti li mecanici; </s>
            <s xml:id="echoid-s3937" xml:space="preserve">cioè che tutti li inſtrumenti nominati me-
              <lb/>
            canici ſi riduchino alla Libra, ò ſtadera di braccia vguali.</s>
            <s xml:id="echoid-s3938" xml:space="preserve"/>
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