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="392" file="0406" n="406" rhead="DISSERTATIO"/>
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            <lb/>
          Addatur ad quadratum R V # 4900000000
            <lb/>
          Summa erit # 16620227600
            <lb/>
          Unde deductum quadratum L V # 12003831844
            <lb/>
          Relinquit numerum # 4616395756
            <lb/>
          Cujus dimidium # 2308197878
            <lb/>
          Per R V diviſum dabit R N # 3297. 4.
            <lb/>
          Et ideo reliquam N V # 3702. 6.
            <lb/>
          Porro quadratum N V # 1370924676.
            <lb/>
          De quadrato V L ſubductum relinquet quadratum \\ perpendicularis N L # 10632907168.
            <lb/>
          Unde ipſa N L dabitur # 10311. 6.
            <lb/>
          Haud alia ratione invenietur R M # 7033. 3.
            <lb/>
          Et V M # 33. 0.
            <lb/>
          Unde ipſa perpendicularis M Q datur # 9414. 6.
            <lb/>
          Additis vero perpendicularibus M Q & L N, hoc \\ eſt ipſa M H, dabitur tota Q H # 19726. 2.
            <lb/>
          Deinde ſubducta R N de RV datur reliqua NV, hoc \\ eſt ipſa L H # 3735. 9.
            <lb/>
          Quamobrem junctis quadratis Q H & H L inve- \\ nietur diagonius Q L diſtantia inter Bergam & Bom- \\ meliam, quæ Problemate XXVIII. tanta quoque \\ fuit # 20076. 8.
            <lb/>
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        <div xml:id="echoid-div288" type="section" level="1" n="288">
          <head xml:id="echoid-head343" xml:space="preserve">XXX.
            <emph style="sc">Problema</emph>
          </head>
          <head xml:id="echoid-head344" style="it" xml:space="preserve">Triangulum E I ?, Leida, Harlemum, Alcmaria.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          Per Problema XIV datur E I, diſtantia inter Lei- \\ dam & Harlemum # 7051. 1.
            <lb/>
          Per Problema XVI datur I ?, diſtantia inter Harle- \\ mum & Alcmariam # 7690. 6.
            <lb/>
          Ex obſervatione ipſa angulus E I ? # 172 gr. 11 ſcr.
            <lb/>
          Quamobrem E ? diſtantia Alcmariæ & Leidæ da- \\ bitur # 14708. 5.
            <lb/>
          Et angulus I E ? # 3 gr. 15 ſcr.
            <lb/>
          Et angulus E ? I # 3 gr. 8 ſcr.
            <lb/>
          </note>
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