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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            <s xml:id="echoid-s4640" xml:space="preserve">
              <pb o="199" file="0213" n="213" rhead="DE MAGNETE."/>
            quoque fuit, cur conſtantem proportionem virium Magneticarum
              <lb/>
            ſe attrahentium, in Capite primo & </s>
            <s xml:id="echoid-s4641" xml:space="preserve">ſecundo invenire non potuerim,
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            quia veroſimile eſt eandem inconſtantiam in viribus attractricibus da-
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            ri, quæ in directricibus obſervatur.</s>
            <s xml:id="echoid-s4642" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4643" xml:space="preserve">Omnis proinde virtutis Magneticæ comparatio cum gravitate non
              <lb/>
            magni momenti exiſtit, quippe hoc temporis minuto cum gravitate
              <lb/>
            hanc faciat proportionem, ſequenti minuto in alia iterum cum ipſa
              <lb/>
            erit.</s>
            <s xml:id="echoid-s4644" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4645" xml:space="preserve">Jucundum tamen & </s>
            <s xml:id="echoid-s4646" xml:space="preserve">utile erit aliquid determinaſſe, quod etiamſi
              <lb/>
            non ſemper ſit verum, erit tamen vero proximum. </s>
            <s xml:id="echoid-s4647" xml:space="preserve">Ponamus igi-
              <lb/>
            tur Acum, unum pedem longam, oſcillationem unam quoque ab-
              <lb/>
            ſolvere tempore 330 Minutorum tertiorum, idenim tempusplerum-
              <lb/>
            que impendi obſervatum fuit; </s>
            <s xml:id="echoid-s4648" xml:space="preserve">oportebit in memoriam revocare do-
              <lb/>
            ctrinam pendulorum a nonnullis eximiis Philoſophis, Hugenio,
              <lb/>
            s’Gravezandio, aliisque egregie explicatam; </s>
            <s xml:id="echoid-s4649" xml:space="preserve">quam demonſtratam
              <lb/>
            ſupponere licebit, uti 1°. </s>
            <s xml:id="echoid-s4650" xml:space="preserve">Pendulum, cujus longitudo eſt 39 {2/10} poll.
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            </s>
            <s xml:id="echoid-s4651" xml:space="preserve">Britt. </s>
            <s xml:id="echoid-s4652" xml:space="preserve">vi gravitatis unam oſcillationem abſolvere intra 60 Minuta
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            tertia. </s>
            <s xml:id="echoid-s4653" xml:space="preserve">2°. </s>
            <s xml:id="echoid-s4654" xml:space="preserve">Pendulum, cujus longitudo eſt 4 pollicum, oſcillatio-
              <lb/>
            nem unam perficere intra 19 {2/10} Minuta tertia, quia longitudines pen-
              <lb/>
            dulorum ſunt in duplicata ratione Temporum quibus oſcillationes
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            peraguntur. </s>
            <s xml:id="echoid-s4655" xml:space="preserve">3°. </s>
            <s xml:id="echoid-s4656" xml:space="preserve">Pendulum, quod eſt cylindrus, priſma, vel paral-
              <lb/>
            lelopipedum, habere centrum oſcillationis ad {2/3} ſuæ longitudinis,
              <lb/>
            adeoque penduli cylindrici 6 pollicum oſcillationis centrum eſſe ad
              <lb/>
            diſtantiam 4 pollicum a puncto ſuſpenſionis, hinc eſſe Iſochronon
              <lb/>
            cum pendulo 4 pollices longo, & </s>
            <s xml:id="echoid-s4657" xml:space="preserve">ſemel vibrari in 19``` {2/10}. </s>
            <s xml:id="echoid-s4658" xml:space="preserve">4°. </s>
            <s xml:id="echoid-s4659" xml:space="preserve">Si
              <lb/>
            dentur duo pendula, quorum longitudines ſint interſe, ut viresgra-
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            vitatis, quibus aguntur, oſcillationes eſſe æque diuturnas. </s>
            <s xml:id="echoid-s4660" xml:space="preserve">5°. </s>
            <s xml:id="echoid-s4661" xml:space="preserve">Et
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            ſi hæc ambo ad eandem reducantur longitudinem, eſſe durationes
              <lb/>
            oſcillationum in ratione ſubduplicata inverſa gravitatum: </s>
            <s xml:id="echoid-s4662" xml:space="preserve">quæ omnia
              <lb/>
            tironibus ſunt nota. </s>
            <s xml:id="echoid-s4663" xml:space="preserve">Loco diverſarum virium gravitatis, pona-
              <lb/>
            mus vim directricem, quia hæc eadem operatur in Acum Inclina-
              <lb/>
            toriam, quam vis gravitatis, adeoque ſecundum memoratas pro-
              <lb/>
            poſitiones formabitur hæc proportio: </s>
            <s xml:id="echoid-s4664" xml:space="preserve">uti 330 Minuta tertia impenſa
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            in oſcillatione Acus, ad 19 {2/10} Minuta tertia impenſa a pendulo, 6
              <lb/>
            pollicum, ſed cylindrico, hoc eſt æque longo cum dimidia Acu,
              <lb/>
            ita eſt radix quadrata gravitatis, ad radicem quadratam virtutis </s>
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