Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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pagenum
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436
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DE MUNDI
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SYSTEMATE</
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LEMMA III.
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Iiſdem poſitis: Dico tertio quod motus Terræ totius circum axem
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jam ante deſcriptum, ex motibus particularum omnium compoſi
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tus, erit ad motum annuli prædicti circum axem eundem, in ra
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tione quæ componitur ex ratione materiæ in Terra ad materiam
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in annulo, & ratione trium quadratorum ex arcu quadrantali
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circuli cujuſcunque ad duo quadrata ex diametro; id eſt, in ra
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tione materiæ ad materiam & numeri
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925275
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ad numerum
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1000000. </
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>Eſt enim motus Cylindri circum axem ſuum immotum revol
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ventis, ad motum Sphæræ inſcriptæ & ſimul revolventis, ut quæ
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libet quatuor æqualia quadrata ad tres ex circulis ſibi inſcriptis:
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& motus Cylindri ad motum annuli tenuiſſimi, Sphæram & Cy
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lindrum ad communem eorum contactum ambientis, ut duplum
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materiæ in Cylindro ad triplum materiæ in annulo; & annuli
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motus iſte circum axem Cylindri uniformiter continuatus, ad
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ejuſdem motum uniformem circum diametrum propriam, eodem
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tempore periodico factum, ut circumferentia circuli ad duplum
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diametri. </
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HYPOTHESIS II.
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Si annulus prædictus Terra omni reliqua ſublata, ſolus in Orbe
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Terræ, motu annuo circa Solem ferretur, & interea circa axem
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ſuum, ad planum Eclipticæ in angulo graduum
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23 1/2
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inclinatum,
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motu diurno revolveretur: idem foret motus Punctorum Æqui
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noctialium ſive annulus iſte fluidus eſſet, ſive is ex materia rigida
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& firma conſtaret.
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