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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DE MAGNETE.
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<
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<
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xml:space
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">(1) Magnetes duos ſe attrahere diverſis viribus in variis diſtantiis a
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ſe invicem, & </
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</
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<
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">unde in mutuo contactu fortiſſime in ſe agunt, nam vires quibus
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ſe contingentes attrahebant, erant æquales ponderi 340 granorum, & </
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in diſtantia 12 pollicum modo æquabant 23 grana.</
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<
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">Et apparet ex inſpectis Experimentis vires attrahentes
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nondum eſſe in tam alta ratione, quæ eſt inverſa diſtantiarum, ſed in
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minori: </
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<
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">Cum enim ad diſtantiam {1/2} lineæ ſit vis attrahens 186 gra-
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norum, ad diſtantiam duplo majorem, ſive 1 lineæ, invenitur hæc vis
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140 granorum, quod ſi in ratione inverſa diſtantiarum hæc vis fuiſſet,
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pondera hæc darentur</
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Diſtant. # pond. ex calculo. # pondera vera
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{1/2} # 186 # 186
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1 # 93 # 140
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2 # 46 {1/2} # 79
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4 # 23 {1/4} # 50 {1/2}
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8 # 11 {5/8} # 33.
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">Si alias ſumamus obſervatas diſtantias, iterum invenimus attractio-
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nes majores, quam calculus memoratus indicaret.</
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Diſtant. # pond. ex calculo. # pondera vera
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{1/3} # 240 # 240
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1 # 80 # 140
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3 # 26 {1/3} # 62
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9 # 8 {7/9} # 29
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27 # 3 fere # 9.
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tium, eam nequaquam deprehendimus eſſe aliquam conſtantem, nam
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pondus ad {1/2} lineam diſtantiæ fuit 186 granorum, qui numerus eſt ad 140
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grana, uti 1 {23/70} ad 1. </
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">quæ proportio ſemper in aliis Sequentibus obti-
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neret numeris, poſita quadam ratione conſtanti: </
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79:</
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<
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<
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numeræ dari poſſunt proportiones, multum laboris impendi, ut ali-
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quam eruerem ex datis numeris, ſive ſimplicem, ſive compoſitam </
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