Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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1& diviſim ut DL-FPſeu PH-PD-FBad FDſeu FQ-QD;
& compoſite ut PH-FBad FQ,id eſt (ob æquales PH
& CG, QS& CE)
140[Figure 140]
CE+BG-FRad
CE-FS.Verum (ob
proportionales BGad
CE& M-N ad N)
eſt etiam CE+BGad
CEut M ad N: adeoque
diviſim FRad FSut
M ad N, & propterea per
Corol.
2. Prop. XCVII,
ſuperficies EFcogit cor­
pus, in ipſam ſecundum lineam DFincidens, pergere in linea FR
ad locum B. que E. D.
DE MOTU
CORPORUM
Scholium.
Eadem methodo pergere liceret ad ſuperficies tres vel plures.
Ad uſus autem Opticos maxime accommodatæ ſunt figuræ Sphæ­
ricæ.
Si Perſpicillorum vitra Objectiva ex vitris duobus Sphæri­
ce figuratis & Aquam inter ſe claudentibus conflentur; fieri poteſt
ut a refractionibus Aquæ errores refractionum, quæ fiunt in vitro­
rum ſuperficiebus extremis, ſatis accurate corrigantur.
Talia au­
tem vitra Objectiva vitris Ellipticis & Hyperbolicis præferenda
ſunt, non ſolum quod facilius & accuratius formari poſſint, ſed
etiam quod Penicillos radiorum extra axem vitri ſitos accurativs
refringant.
Verum tamen diverſa diverſorum radiorum Refrangi­
bilitas impedimento eſt, quo minus Optica per Figuras vel Sphæ­
ricas vel alias quaſcunque perfici poſſit.
Niſi corrigi poſſint er­
rores illinc oriundi, labor omnis in cæteris corrigendis imperite
collocabitur.

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