Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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132,645 in Medio aeris, vel grana 132,8 in vacuo; & globus qui
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libet alius eſt ut exceſſus ponderis ejus in vacuo ſupra pondus ejus
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in aqua. </
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DE MOTU
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CORPORUM</
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Exper.
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1. Globus, cujus pondus erat 156 1/4 granorum in aere &
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77 granorum in aqua, altitudinem totam digitorum 112 tempore
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minutorum quatuor ſecundorum deſcripſit. </
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>Et experimento repe
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tito, globus iterum cecidit eodem tempore minutorum quatuor ſe
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cundorum. </
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>Pondus globi in vacuo eſt (156 11/38)
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gran,
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& exceſſus hujus ponde
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ris ſupra pondus globi in aqua eſt (79 11/38)
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gran.
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Unde prodit globi
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diameter 0,84224 partium digiti. </
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pondus globi in vacuo, ita denſitas aquæ ad denſitatem globi,
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& ita partes octo tertiæ diametri globi (
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viz.
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2,24597
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dig.
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) ad ſpa
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tium 2 F, quod proinde erit 4,4256
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dig.
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Globus tempore minuti
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unius ſecundi, toto ſuo pondere granorum (156 11/38), cadendo in va
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cuo deſcribet digitos 193 1/3; & pondere granorum 77, eodem tem
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pore, abſque reſiſtentia cadendo in aqua deſcribet digitos 95,219;
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& tempore G, quod ſit ad minutum unum ſecundum in ſubduplicata
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ratione ſpatii F ſeu 2,2128
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dig.
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ad 95,219
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dig,
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deſcribet 2,2128
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dig.
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& velocitatem maximam H acquiret quacum poteſt in aqua de
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ſcendere. </
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>Eſt igitur tempus G 0″,15244. Et hoc tempore G,
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cum velocitate illa maxima H, globus deſcribet ſpatium 2 F digi
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torum 4,4256; ideoque tempore minutorum quatuor ſecundo
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rum deſcribet ſpatium digitorum 116,1245. Subducatur ſpatium
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1,3862944 F ſeu 3,0676
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dig.
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& manebit ſpatium 113,0569 digito
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rum quod globus cadendo in aqua, in vaſe ampliſſimo, tempore
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minutorum quatuor ſecundorum deſcribet. </
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>Hoc ſpatium, ob an
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guſtiam vaſis lignei prædicti, minui debet in ratione quæ compo
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nitur ex ſubduplicata ratione orificii vaſis ad exceſſum orificii hu
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jus ſupra ſemicirculum maximum globi & ex ſimplici ratione ori
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ficii ejuſdem ad exceſſum ejus ſupra circulum maximum globi, id
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eſt, in ratione 1 ad 0,9914. Quo facto, habebitur ſpatium 112,08
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digitorum, quod Globus cadendo in aqua in hoc vaſe ligneo tem
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pore minutorum quatuor ſecundorum per Theoriam deſcribere
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debuit quamproxime. </
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<
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mentum. </
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Exper.
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2. Tres Globi æquales, quorum pondera ſeorſim erant
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76 1/3 granorum in aere & (5 1/16) granorum in aqua, ſucceſſive demitte
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bantur; & unuſquiſque cecidit in aqua tempore minutorum ſecun
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dorum quindecim, caſu ſuo deſcribens altitudinem digitorum 112. </
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