Fabri, Honoré, Dialogi physici in quibus de motu terrae disputatur, 1665

Page concordance

< >
Scan Original
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
< >
page |< < of 248 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001854">
                <pb pagenum="162" xlink:href="025/01/166.jpg"/>
              ſionis coni incumbunt; itemque ex baſi ML ; pares certè cum paribus
                <lb/>
              contranituntur, ſinguli ſcilicet cylindri cum ſingulis; igitur neutra pars
                <lb/>
              prævalet, ſi verò non reſcindatur ſegmentum ME, equidem ſinguli
                <lb/>
              cylindri ducti ex ſingulis punctis baſis ML pugnant cum ſingulis ductis
                <lb/>
              ex baſi AB, hi tamen victores ſunt; quia fortiores; cùm ſingulis vis
                <lb/>
              preſſionis ſecundùm majorem conum, vel angulum incumbat; igitur
                <lb/>
              quamvis alioquin anguſtiſſimus ſit canaliculus, ſi tamen ſupra libellam
                <lb/>
              AG non producatur, par vtrimque eſt vis preſſionis; ac proinde
                <lb/>
              neutra pars prævalet; vnde, ni fallor, tuus ille paralogiſmus ſolutus
                <lb/>
              manet. </s>
            </p>
            <p type="main">
              <s id="s.001855">
                <emph type="italics"/>
              Auguſtin.
                <emph.end type="italics"/>
              </s>
              <s id="s.001856"> Ex dictis rectè deduco, aquam attolli altiùs in longiore, ca­
                <lb/>
              naliculo; nempe in longiore, angulus preſſionis acutior & minor eſt,
                <lb/>
              quàm in breviore v. g. angulus DFE, minor eſt angulo DME, vt
                <lb/>
              patet. </s>
            </p>
            <p type="main">
              <s id="s.001857">
                <emph type="italics"/>
              Antim.
                <emph.end type="italics"/>
              </s>
              <s id="s.001858"> Hoc erat tertium experimentum; aqua enim in canaliculis
                <lb/>
              longioribus tantulùm immerſis altiùs aſſurgit: & niſi nimiæ obſtarent
                <lb/>
              anguſtiæ, per quas ſine aliqua vi aqua traduci nequit, ad quamcumque
                <lb/>
              certè altitudinem aqua aſſurgeret. </s>
            </p>
            <p type="main">
              <s id="s.001859">
                <emph type="italics"/>
              Auguſtin.
                <emph.end type="italics"/>
              </s>
              <s id="s.001860"> Prudenter occurriſti inſtantiæ, quam tibi facere meditabar;
                <lb/>
              alia tamen longè difficilior ſeſe mihi objicit ; cùm enim ſinguli preſſionis
                <lb/>
              cylindri ſingulis contranituntur; perinde eſt, five laxior ſit canaliculus,
                <lb/>
              ſive anguſtior, quod tamen experimentis repugnat, cùm per canalicu­
                <lb/>
              lum anguſtiorem longè altiùs humor aſſurgat. </s>
            </p>
            <p type="main">
              <s id="s.001861">
                <emph type="italics"/>
              Antim.
                <emph.end type="italics"/>
              </s>
              <s id="s.001862"> Haud inficior, difficultatem à te propoſitam eam eſſe, quæ in­
                <lb/>
              genio tuo digna eſſe videatur; quam tamen, ni fallor, ſatis facilè ſolvo:
                <lb/>
              nempe aër preſſus majorem vim non imprimit ſuperficiei majori AB
                <lb/>
              quàm minori DE; Cogita diſoum ligneum, quo premitur ſuperficies A
                <lb/>
              B, motu vt vnum, itemque alium minorem, quo premitur ſuperficies DE,
                <lb/>
              motu vt vnum; certè vterque æqualem vim imprimit ſuperficie, DE &
                <lb/>
              AB; licèt enim alter major ſit, & majorem ſuperficiem premat; quia
                <lb/>
              tamen idem aër compreſſus circumfuſus vtramque æquè premit, æqua­
                <lb/>
              lis ſemper preſſionis effectus ſequitur, id eſt, ejuſdem quantitatis aquæ
                <lb/>
              elevatio; cæteris tamen paribus: vbi enim hæc elevata eſt, & ab eadem
                <lb/>
              vi premente ſuſtinetur, nullus alius effectus illi competit, cùm tota in
                <lb/>
              eo exeratur; dixi cæteris paribus, id eſt, ſuppoſita eadem proportione
                <lb/>
              preſſionis aëris incumbentis ſuperficiei canaliculi, ſi enim propter bre­
                <lb/>
              vitatem canaliculi prædicta proportio creſcat, vel ſit major canaliculus,
                <lb/>
              ac proinde angulus preſſionis major, itemque major preſſio, haud dubiè
                <lb/>
              aqua minùs altè per canaliculum aſcendit: Suppoſita autem eadem pro­
                <lb/>
              portione preſſionum, altitudines aquæ elevatæ in diverſis canaliculis,
                <lb/>
              ſunt vt baſes permutando, vt pater, v.g. ſi baſis vnius ſit dupla baſis alte­
                <lb/>
              riùs, altitudo ejus erit dupla altitudinis illius, vt ſcilicet cylindri æqua­
                <lb/>
              les ſint. </s>
            </p>
            <p type="main">
              <s id="s.001863">
                <emph type="italics"/>
              Chryſocom.
                <emph.end type="italics"/>
              </s>
              <s id="s.001864"> Iam optimè intelligo id, quod paulò ante capere non po­
                <lb/>
              teram; quod ſcilicet, vt aiebas, ad quamcumque altitudinem aqua poſ-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum