Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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1
LIBER
PRIMUS.
SECTIO XIV.
De Motu corporum minimorum, quæ Viribus centripetis ad ſingulas
magni alicujus corporis partes tendentibus agitantur.
PROPOSITIO XCIV. THEOREMA XLVIII.
Si Media duo ſimilaria, ſpatio planis parallelis utrinque terminato,
diſtinguantur ab invicem, & corpus in tranſitu per hoc ſpatium
attrahatur vel impellatur perpendiculariter verſus Medium alter­
utrum, neque ulla alia vi agitetur vel impediatur: Sit autem
attractio, in æqualibus ab utroque plano diſtantiis ad eandem
ipſius partem captis, ubique eadem: dico quod ſinus incidentiæ
in planum alterutrum erit ad ſinum emergentiæ ex plano altero
in ratione data.
Cas.1. Sunto Aa, Bb
133[Figure 133]
plana duo parallela.
Inci­
dat corpus in planum pri­
us Aaſecundum lineam
GH,ac toto ſuo per ſpati­
um intermedium tranſitu
attrahatur vel impellatur
verſus Medium inciden­
tiæ, eaque actione deſcri­
bat lineam curvam HI,&
emergat ſecundum line­
am IK.Ad planum emer­
gentiæ Bberigatur per­
pendiculum IM,occur­
rens tum lineæ inciden­
tiæ GHproductæ in M,
tum plano incidentiæ Aain R; & linea emergentiæ KIproducta
occurrat HMin L.Centro Lintervallo LIdeſcribatur Circulus,

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