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

Table of contents

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[41.] Lect. XI.
[42.] APPENDICUL A.
[43.] Lect. XII.
[44.] APPENDICULA 1.
[45.] Præparatio Communis.
[46.] APPENDICULA 2.
[47.] Conicorum Superſicies dimetiendi Metbodus.
[48.] Exemplum.
[49.] Prop. 1.
[50.] Prop. 2.
[51.] Prop. 3.
[52.] Prop. 4.
[53.] APPENDICULA 3.
[54.] Problema I.
[55.] Exemp. I.
[56.] Exemp. II.
[57.] Probl. II.
[58.] Exemp. I.
[59.] _Exemp_. II.
[60.] _Probl_. III.
[61.] _Probl_. IV.
[62.] _Probl_. V.
[63.] _Probl_. VI.
[64.] _Probl_. VII
[65.] _Probl_. VIII.
[66.] _Probl_. IX.
[67.] _Probl_. X.
[68.] _Corol. Theor_. I.
[69.] _Theor_. II.
[70.] _Theor_. III.
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11698
1. Si punctum Z cadat inter C, & K, fac DZ + {I/R} KZ. DZ : :
11Fig. 152,
153.
DK.
DY; & cape DY ad partes lentis verſus K.
2. Si punctum Z cadat extra CK, & ſit inſuper DZ & gt; {I/R} KZ,
fac DZ &
gt; {I/R} KZ. DZ : : DK. DY; & cape DY ad partes lentis
verſus K.
3. Si DZ = {I/R} KZ, imago Y infinitè diſtabit.
4. Si DZ & lt; {I/R} KZ; fiat {I/R} KZ - DZ. DZ : : DK. DY, &
cape DY ad partes lentis adverſas ipſi K.
De ſenſibiliter autem propinqua diſtantia radiantium ſeu divergentes
radios emittentium punctorum (qualia ſemper deſignat punctum A)
imagines (ut &
illæ quas ad ejuſmodi puncta convergentes efficiunt
radii) hoc pacto determinantur.
_I._ Ad lentem plano-planam diverg.
22Fig. 154,
155.
_II._ Ad lentem plano-planam converg.
Fiat {R. I : : AB. BZ, & \\ I. R : : DZ. DY.
Breviùs. Fiat I. I - R : : BD. AY.
_III._ Ad lentem plano-convexam diverg.
33Fig. 156.
_IV._ Ad lentem plano concavam converg.
Fiat R. I : : AB. BZ. & cum Z cadit
1. Extra DK, ſi {I/R} KZ & gt; DZ; fac {I/R} KZ - DZ. DZ : :
DK.
DY; & cape DY ad partes lentis adverſus A.
2. Si {I/R} KZ = DZ; imago diſtabit infinitè.
3. Si {I/R} KZ & lt; DZ; fac DZ - {I/R} KZ. DZ : : DK. DY; &
eape DY verſus A.

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