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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        <div xml:id="echoid-div11" type="section" level="1" n="11">
          <pb o="17" file="0031" n="31" rhead="DE MAGNETE."/>
          <p>
            <s xml:id="echoid-s493" xml:space="preserve">Elicimus ex hiſce Experimentis ſequentia Corollaria.</s>
            <s xml:id="echoid-s494" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s495" xml:space="preserve">(1) Magnetes duos ſe attrahere diverſis viribus in variis diſtantiis a
              <lb/>
            ſe invicem, & </s>
            <s xml:id="echoid-s496" xml:space="preserve">quidem eo fortius ſe appetere, quo ſibi propiores ſunt;
              <lb/>
            </s>
            <s xml:id="echoid-s497" xml:space="preserve">unde in mutuo contactu fortiſſime in ſe agunt, nam vires quibus
              <lb/>
            ſe contingentes attrahebant, erant æquales ponderi 340 granorum, & </s>
            <s xml:id="echoid-s498" xml:space="preserve">
              <lb/>
            in diſtantia 12 pollicum modo æquabant 23 grana.</s>
            <s xml:id="echoid-s499" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s500" xml:space="preserve">Corol. </s>
            <s xml:id="echoid-s501" xml:space="preserve">2. </s>
            <s xml:id="echoid-s502" xml:space="preserve">Et apparet ex inſpectis Experimentis vires attrahentes
              <lb/>
            nondum eſſe in tam alta ratione, quæ eſt inverſa diſtantiarum, ſed in
              <lb/>
            minori: </s>
            <s xml:id="echoid-s503" xml:space="preserve">Cum enim ad diſtantiam {1/2} lineæ ſit vis attrahens 186 gra-
              <lb/>
            norum, ad diſtantiam duplo majorem, ſive 1 lineæ, invenitur hæc vis
              <lb/>
            140 granorum, quod ſi in ratione inverſa diſtantiarum hæc vis fuiſſet,
              <lb/>
            pondera hæc darentur</s>
          </p>
          <note position="right" xml:space="preserve">
            <lb/>
          Diſtant. # pond. ex calculo. # pondera vera
            <lb/>
          {1/2} # 186 # 186
            <lb/>
          1 # 93 # 140
            <lb/>
          2 # 46 {1/2} # 79
            <lb/>
          4 # 23 {1/4} # 50 {1/2}
            <lb/>
          8 # 11 {5/8} # 33.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s504" xml:space="preserve">Si alias ſumamus obſervatas diſtantias, iterum invenimus attractio-
              <lb/>
            nes majores, quam calculus memoratus indicaret.</s>
            <s xml:id="echoid-s505" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">
            <lb/>
          Diſtant. # pond. ex calculo. # pondera vera
            <lb/>
          {1/3} # 240 # 240
            <lb/>
          1 # 80 # 140
            <lb/>
          3 # 26 {1/3} # 62
            <lb/>
          9 # 8 {7/9} # 29
            <lb/>
          27 # 3 fere # 9.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s506" xml:space="preserve">Corol. </s>
            <s xml:id="echoid-s507" xml:space="preserve">3. </s>
            <s xml:id="echoid-s508" xml:space="preserve">Quod ſi attendamus ad proportionem virium attrahen-
              <lb/>
            tium, eam nequaquam deprehendimus eſſe aliquam conſtantem, nam
              <lb/>
            pondus ad {1/2} lineam diſtantiæ fuit 186 granorum, qui numerus eſt ad 140
              <lb/>
            grana, uti 1 {23/70} ad 1. </s>
            <s xml:id="echoid-s509" xml:space="preserve">quæ proportio ſemper in aliis Sequentibus obti-
              <lb/>
            neret numeris, poſita quadam ratione conſtanti: </s>
            <s xml:id="echoid-s510" xml:space="preserve">verum 140 ſunt ad
              <lb/>
            79:</s>
            <s xml:id="echoid-s511" xml:space="preserve">: 1 {61/79}. </s>
            <s xml:id="echoid-s512" xml:space="preserve">ad 1. </s>
            <s xml:id="echoid-s513" xml:space="preserve">Sunt 79 ad 50 {1/2}:</s>
            <s xml:id="echoid-s514" xml:space="preserve">: 1 {57/101} ad 1. </s>
            <s xml:id="echoid-s515" xml:space="preserve">tum 50 {1/2} ad 33:</s>
            <s xml:id="echoid-s516" xml:space="preserve">: 1 {35/66} ad 1.</s>
            <s xml:id="echoid-s517" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s518" xml:space="preserve">In quibus omnibus profecto obtinet alia proportio. </s>
            <s xml:id="echoid-s519" xml:space="preserve">Quoniam in-
              <lb/>
            numeræ dari poſſunt proportiones, multum laboris impendi, ut ali-
              <lb/>
            quam eruerem ex datis numeris, ſive ſimplicem, ſive compoſitam </s>
          </p>
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