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-div240" type="section" level="1" n="240">
          <pb o="343" file="0357" n="357" rhead="DE SPECULIS VITREIS."/>
          <note position="right" xml:space="preserve">
            <lb/>
          Diſtantia \\ pollicum \\ a contactu # Numerus \\ linearum \\ Aquæ elevatæ
            <lb/>
          9 # 1
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          6 # 2
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          4 {3/4} # 3
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          3 # 4 {3/4}
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          2 {1/2} # 6
            <lb/>
          2 # 7 {1/2}
            <lb/>
          1 {1/2} # 10
            <lb/>
          1 {1/4} # 12
            <lb/>
          1 # 15
            <lb/>
          {3/4} # 19
            <lb/>
          {1/2} # 28
            <lb/>
          {1/4} # 50
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          </note>
          <p>
            <s xml:id="echoid-s8404" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s8405" xml:space="preserve">XIII. </s>
            <s xml:id="echoid-s8406" xml:space="preserve">Fig. </s>
            <s xml:id="echoid-s8407" xml:space="preserve">2. </s>
            <s xml:id="echoid-s8408" xml:space="preserve">Quotieſcunque angulus inter ambo ſpecula
              <lb/>
            comprehenſus eſt exiguus & </s>
            <s xml:id="echoid-s8409" xml:space="preserve">linea juncturæ perpendicularisin Aquam
              <lb/>
            curva ab Aquâ deſcripta eſt Hyperbola inter aſymptotas ſuas con-
              <lb/>
            tenta, quarum una eſt ſuperficies Aquæ, altera, junctura ſpeculo-
              <lb/>
            rum. </s>
            <s xml:id="echoid-s8410" xml:space="preserve">Ducantur enim duæ rectæ A C, B C quæ repræſentent ſe-
              <lb/>
            ctionem ſpeculorum junctorum in C. </s>
            <s xml:id="echoid-s8411" xml:space="preserve">concipiatur B C diviſa in ali-
              <lb/>
            quot partes æquales & </s>
            <s xml:id="echoid-s8412" xml:space="preserve">parvas, quales ſunt e g, im. </s>
            <s xml:id="echoid-s8413" xml:space="preserve">& </s>
            <s xml:id="echoid-s8414" xml:space="preserve">quia angulus
              <lb/>
            A C B eſt parvus, poſſunt concipi d f e g, h lim, ut parallelogram-
              <lb/>
            ma: </s>
            <s xml:id="echoid-s8415" xml:space="preserve">quia autem poſitis ſpeculis a ſe diſtantibus & </s>
            <s xml:id="echoid-s8416" xml:space="preserve">parallelis copia
              <lb/>
            aquæ adſcendentis eſtæqualis per Corol. </s>
            <s xml:id="echoid-s8417" xml:space="preserve">2. </s>
            <s xml:id="echoid-s8418" xml:space="preserve">§. </s>
            <s xml:id="echoid-s8419" xml:space="preserve">3, erit inter d f e g,
              <lb/>
            æqualis Aquæ copia ac inter h i l m, adeoque erunt ea paralle-
              <lb/>
            lopipeda Aquæ æqualia, quorum altitudines ſunt reciproce ut ba-
              <lb/>
            ſes d e f g, h i l m. </s>
            <s xml:id="echoid-s8420" xml:space="preserve">& </s>
            <s xml:id="echoid-s8421" xml:space="preserve">quia hæ habent latus e g = i m, erunt
              <lb/>
            baſes uti de, ad hi, ſed ob triangula ſimilia d C e, h C i, eſt de,
              <lb/>
            h i:</s>
            <s xml:id="echoid-s8422" xml:space="preserve">: e C, i C. </s>
            <s xml:id="echoid-s8423" xml:space="preserve">quare erit altitudo Aquæ in e, ad eam in i, ut i C.
              <lb/>
            </s>
            <s xml:id="echoid-s8424" xml:space="preserve">ad e C ſive reciproce ut diſtantiæ â C. </s>
            <s xml:id="echoid-s8425" xml:space="preserve">Quare ſi i C multiplicetur
              <lb/>
            in ſuam altitudinem, dabit productum æquale illi ex e C in ſuam; </s>
            <s xml:id="echoid-s8426" xml:space="preserve">ve-
              <lb/>
            rum nota hæc eſt natura Hyperbolæ, ut parallelogramma vid.</s>
            <s xml:id="echoid-s8427" xml:space="preserve"/>
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