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

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              <pb o="528" file="0542" n="542" rhead="INTRODUCTIO AD COHÆRENTIAM"/>
            didit in Actis Lipſienſibus Anni 1684 ſibi a Blondellio relatum
              <lb/>
            fuiſſe, Paulum W urtſium, corporum firmitates explorantem depre-
              <lb/>
            hendiſſe, Experimenta nequaquam cum doctrina Galilæi conveni-
              <lb/>
            re, quemadmodum etiam omnia noſtra tentamina inferius traden-
              <lb/>
            da evincent.</s>
            <s xml:id="echoid-s12403" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12404" xml:space="preserve">Quoniam igitur omnia corpora flexilia ſunt, quænam propor-
              <lb/>
            tio, aut proportiones erunt inter Cohærentiam abſolutam & </s>
            <s xml:id="echoid-s12405" xml:space="preserve">reſpe-
              <lb/>
            ctivam? </s>
            <s xml:id="echoid-s12406" xml:space="preserve">ſupra memoravi quidnam Mariottus determinaverat ex
              <lb/>
            quibusdam a ſe captis Experimentis, quibus abſolutam eſſe ad re-
              <lb/>
            ſpectivam uti 3 ad 1, vel 4 ad 1 concluſerat: </s>
            <s xml:id="echoid-s12407" xml:space="preserve">nec negari poſle, quin
              <lb/>
            aliquando hæc obtineat proportio, noſtra tentamina evincent; </s>
            <s xml:id="echoid-s12408" xml:space="preserve">ve-
              <lb/>
            rum plurimas alias dari etiam ex illis conſtabit, & </s>
            <s xml:id="echoid-s12409" xml:space="preserve">quidem aliquan-
              <lb/>
            do eſſe uti 18 ad 1, imo omnes intermedias inter 3 ad 1 & </s>
            <s xml:id="echoid-s12410" xml:space="preserve">18 ad 1
              <lb/>
            obtinere, quod probat Mariotti aſſertum non eſſe univerſale: </s>
            <s xml:id="echoid-s12411" xml:space="preserve">Pro-
              <lb/>
            fecto nihil difficilius determinatu datur; </s>
            <s xml:id="echoid-s12412" xml:space="preserve">magnus Leibnitſius omnes
              <lb/>
            fibras corporum, quæ transverſe franguntur, quo tempore frangun-
              <lb/>
            tur, conſideravit extrahi ex ſe mutuo a ponderibus appenſis; </s>
            <s xml:id="echoid-s12413" xml:space="preserve">Cele-
              <lb/>
            berrimus Bernouillius fibras corporum nonnullas extrahi, nonnul-
              <lb/>
            las ſimul comprimi demonſtravit: </s>
            <s xml:id="echoid-s12414" xml:space="preserve">eſt hæc ſententia veroſimilior
              <lb/>
            priori, ex utraque tamen diverſæ proportiones Cohærentiæ abſo-
              <lb/>
            lutæ & </s>
            <s xml:id="echoid-s12415" xml:space="preserve">reſpectivæ demonſtrari poſſunt; </s>
            <s xml:id="echoid-s12416" xml:space="preserve">& </s>
            <s xml:id="echoid-s12417" xml:space="preserve">cum utraque mereatur
              <lb/>
            cognoſci, primum Leibnitſianam demonſtrationem aggrediar.</s>
            <s xml:id="echoid-s12418" xml:space="preserve"/>
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            <s xml:id="echoid-s12419" xml:space="preserve">Si in Tab. </s>
            <s xml:id="echoid-s12420" xml:space="preserve">XXIV. </s>
            <s xml:id="echoid-s12421" xml:space="preserve">fig. </s>
            <s xml:id="echoid-s12422" xml:space="preserve">12. </s>
            <s xml:id="echoid-s12423" xml:space="preserve">ſit corpus A B C K, parieti D B H A E
              <lb/>
            infixum, a quo, antequam penitus frangitur, ſecedere poſſit, quan-
              <lb/>
            tum hic conſpicitur, cum fibræ illud componentes, & </s>
            <s xml:id="echoid-s12424" xml:space="preserve">ſeſe necten-
              <lb/>
            tes tantopere extrahi ex ſe poſſint, quantum diſtat 1 B ab 2 B. </s>
            <s xml:id="echoid-s12425" xml:space="preserve">ſit
              <lb/>
            pondus vel potentia quædam Q applicata puncto extremo corpo-
              <lb/>
            ris C, ejus magnitudinis, ut aucta vel tantillum frangeret corpus,
              <lb/>
            adeoque id reducat in ſtatum fracturæ proximum, tum concipiatur
              <lb/>
            circa punctum infimum A, tanquam circa centrum, rotationem
              <lb/>
            vel motum fieri; </s>
            <s xml:id="echoid-s12426" xml:space="preserve">poteritque 2 B A C conſiderari ut vectis incurvus
              <lb/>
            æqualium brachiorum, totumque corpus absque gravitate, ergo
              <lb/>
            a potentia Q fibræ corporis tendentur, elongabuntur, ita ut pun-
              <lb/>
            ctum B ſuperius â pariete diſcedens veniat ad 2 B, ſecum trahat
              <lb/>
            fibram, eam tendat inſtar Chordæ, ipſam in violentum redigendo
              <lb/>
            ſtatum, quo acquirat longitudinem 1 B 2 B; </s>
            <s xml:id="echoid-s12427" xml:space="preserve">eodem modo </s>
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