Barrow, Isaac - Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur

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10688

Nam erit tum CA. CR = CA. CK + NK. NA. unde, com-
munem utrinque adjiciendo rationem CK ad CA, erit CK. CA
+ CA. CR = CA. CK + CK. CA + NK. NA. hoc eſt
CK. CR : : NK. NA.

Notetur in figuris ſequentibus eſſe perpetuo CA. CR : : I. R.
11Fig. 130,
131. quod ſemel, brevitatis causâ, monitum efto.

IV. Hinc conſectatur; primò; Si fuerit AN & gt; CR, quòd re-
fractus N _a_ cum axe AC prorsùm excurrens conveniet. Nam erit
22Fig. 129. CK. AN & lt; CK. CR : : NK. AN. adeóque CK & lt; NK.

V. Secundò; ſi fuerit AN = CR, refractus N _a_ ad AC pa-
33Fig. 130. rallelus erit.

Nam ſit NH ad AC parallela. quum itaque ſit CA. AN : :
(CA. CR : : ) I. R; erit AN ipſius HN refractus. ergò viciſſim
N Hipſius AN.

VI. Tertiò; Si fuerit AN & lt; CR, refractus N _a_ cum AC
44Fig. 131. retrò conveniet extractus.

Erit enim tunc CK. AN & gt; CK. CR : : NK. AN. ac indè
CK & gt; NK.

VII. Hinc clarum eſt; Si fuerit AB non minor quàm CR, om-
nes refractos verſus AC procurrentes convergere. erit enim tunc
ſemper AN & gt; CR.

VIII. Subnotetur autem ſi fuerit ſaltem AB = CR; axi propio-
res radios in ſenſibilem paralleliſmum refringi.

IX. Item, Si AT circulum tangat, & fuerit AT & lt; CR; ma-
nifeſtum eſt omnes refractos retrò protractos cum AC concurrere.
tunc enim ſemper eſt AN & lt; CR.

X. Clarum eſt quoque, ſi AN = CR, omnes arcui BN inci-
dentium refractos retrò productos, omnes autem arcui NT inciden-
tium refractos antrorſum procurrentes axi occurrere.

XI. Quum autem in caſu, propoſiti maximè contrario (quum
nempe I & lt; R; & radii concavis incidunt partibus) adſimilis contingat
diverſitas, hanc quoqne breviter attingemus.

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