Musschenbroek, Petrus van, Physicae experimentales, et geometricae de magnete, tuborum capillarium vitreorumque speculorum attractione, magnitudine terrae, cohaerentia corporum firmorum dissertationes: ut et ephemerides meteorologicae ultraiectinae

List of thumbnails

< >
311
311 (297) 		312
312 (298)
313
313 (299) 		314
314 (300)
315
315 (301) 		316
316 (302)
317
317 (303) 		318
318 (304)
319
319 (305) 		320
320 (306)
< >
page |< < (297) of 795 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div195" type="section" level="1" n="195">
          <pb o="297" file="0311" n="311" rhead="DE TUBIS CAPILLARIBUS VITREIS."/>
          <p>
            <s xml:id="echoid-s7044" xml:space="preserve">Corol. </s>
            <s xml:id="echoid-s7045" xml:space="preserve">4. </s>
            <s xml:id="echoid-s7046" xml:space="preserve">Erunt quantitates Aquæ elevatæ in omnibus his tu-
              <lb/>
            bis, tam amplis, quam anguſtis uti ſunt diametri baſium inter ſe.</s>
            <s xml:id="echoid-s7047" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7048" xml:space="preserve">Nam quantitates ſunt uti altitudines multiplicatæ per ſuas baſes.
              <lb/>
            </s>
            <s xml:id="echoid-s7049" xml:space="preserve">vocetur una altitudo a, adſcenſus nempe Aquæ in tubo ampliore,
              <lb/>
            ejuſque diameter baſeos vocetur B. </s>
            <s xml:id="echoid-s7050" xml:space="preserve">alterius tubi adſcenſus voce-
              <lb/>
            tur A, diameter b: </s>
            <s xml:id="echoid-s7051" xml:space="preserve">erit a. </s>
            <s xml:id="echoid-s7052" xml:space="preserve">A:</s>
            <s xml:id="echoid-s7053" xml:space="preserve">: b. </s>
            <s xml:id="echoid-s7054" xml:space="preserve">B. </s>
            <s xml:id="echoid-s7055" xml:space="preserve">per Corol. </s>
            <s xml:id="echoid-s7056" xml:space="preserve">1. </s>
            <s xml:id="echoid-s7057" xml:space="preserve">ergo multiplican-
              <lb/>
            do extrema & </s>
            <s xml:id="echoid-s7058" xml:space="preserve">media per ſe erit a B = A b. </s>
            <s xml:id="echoid-s7059" xml:space="preserve">ſed a BB, A bb expri-
              <lb/>
            munt quantitates Aquæ elevatæ in tubis, ergo his diviſis per a B,
              <lb/>
            A b æqualia, erunt quantitates uti B ad b. </s>
            <s xml:id="echoid-s7060" xml:space="preserve">ſive ut diametri.</s>
            <s xml:id="echoid-s7061" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7062" xml:space="preserve">Corol. </s>
            <s xml:id="echoid-s7063" xml:space="preserve">5. </s>
            <s xml:id="echoid-s7064" xml:space="preserve">Quamobrem tubi ampliores majorem quantitatem A-
              <lb/>
            quæ elevant, quam anguſtiores, licet ad minorem altitudinem ele-
              <lb/>
            vent ſuam Aquam. </s>
            <s xml:id="echoid-s7065" xml:space="preserve">Nam ſemper ſunt quantitates elevatæ uti dia-
              <lb/>
            metri baſium.</s>
            <s xml:id="echoid-s7066" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7067" xml:space="preserve">Corol. </s>
            <s xml:id="echoid-s7068" xml:space="preserve">6. </s>
            <s xml:id="echoid-s7069" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s7070" xml:space="preserve">XI. </s>
            <s xml:id="echoid-s7071" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s7072" xml:space="preserve">1. </s>
            <s xml:id="echoid-s7073" xml:space="preserve">Sit Hyperbola H D d, ejuſque Aſym-
              <lb/>
            ptota B A, A a; </s>
            <s xml:id="echoid-s7074" xml:space="preserve">ſitque hyperbola ejus conditionis ut ſumta A a
              <lb/>
            = 9. </s>
            <s xml:id="echoid-s7075" xml:space="preserve">D a ſit = 38 partibus centeſimis pollicis & </s>
            <s xml:id="echoid-s7076" xml:space="preserve">ſi A a ſit = 30,
              <lb/>
            tum ? </s>
            <s xml:id="echoid-s7077" xml:space="preserve">? </s>
            <s xml:id="echoid-s7078" xml:space="preserve">ſit = 13 partibus centeſimis pollicis: </s>
            <s xml:id="echoid-s7079" xml:space="preserve">tum ex Naturâ Hy-
              <lb/>
            perbolæ omnes parallelæ ad Aſymptoton A B, inter Hyperbolam
              <lb/>
            & </s>
            <s xml:id="echoid-s7080" xml:space="preserve">Aſymptoton A a contentæ expriment diametros tuborum, & </s>
            <s xml:id="echoid-s7081" xml:space="preserve">
              <lb/>
            omnes A a expriment altitudines, ad quas Aqua in iis tubis eleva-
              <lb/>
            bitur: </s>
            <s xml:id="echoid-s7082" xml:space="preserve">ſi omnes tubi eandem longitudinem habuerint.</s>
            <s xml:id="echoid-s7083" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7084" xml:space="preserve">Corol. </s>
            <s xml:id="echoid-s7085" xml:space="preserve">7. </s>
            <s xml:id="echoid-s7086" xml:space="preserve">Quia cognoſcitur gravitas Aquæ in dato tubo ex expe-
              <lb/>
            rimentis, cognoſcitur magnitudo virtutis, quæ Aquam elevat, nam
              <lb/>
            hæc æquipollet gravitati Aquæ.</s>
            <s xml:id="echoid-s7087" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7088" xml:space="preserve">Scholion. </s>
            <s xml:id="echoid-s7089" xml:space="preserve">Quoniam igitur Aqua adſcendit altius in tubos angu-
              <lb/>
            ſtiores, quam in latos, an inde non patet, quare arbores proceræ
              <lb/>
            in ſtipite habeant vaſa ſubtiliſſima, per quæ liquor nutrititius ex ra-
              <lb/>
            dice ad verticem aſſurgit; </s>
            <s xml:id="echoid-s7090" xml:space="preserve">tum quare denſiores ſint ſtipites arbo-
              <lb/>
            rum valde procerarum, quam humilium, quarum lignum ſemper
              <lb/>
            laxius molliuſque deprehenditur, nam vaſa ſubtiliſſima requireban-
              <lb/>
            tur, ut ad maximam altitudinem Aqua adſcendere poſſet: </s>
            <s xml:id="echoid-s7091" xml:space="preserve">ideo plan-
              <lb/>
            tæ valde humiles etiam molles modo ſunt, vaſisque gaudent am-
              <lb/>
            plis, cum ad parvam altitudinem liquorem tantum attrahere tenen-
              <lb/>
            tur: </s>
            <s xml:id="echoid-s7092" xml:space="preserve">An ideo etiam non arbores juniores primis annis ſtipitem mol-
              <lb/>
            liorem habent, qui induratur in ſolidiorem ſubſtantiam graciliori-
              <lb/>
            bus canaliculis conſtantem, quo excelſiores fiunt?</s>
            <s xml:id="echoid-s7093" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum