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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[21.] Lect. XV.
[22.] APPENDICVLA.
[23.] Lect. XVI.
[24.] Lect. XVII.
[25.] Lect. XVIII.
[26.] ERRATA.
[27.] Benevolo Lectori.
[28.] Lectio I.
[29.] Lect. II.
[30.] Lect. III.
[31.] Lect. IV.
[32.] Lect. VII.
[33.] Lect. VIII.
[34.] Lect. IX.
[35.] Lect. X.
[36.] Exemp. I.
[37.] _Exemp_. II.
[38.] _Exemp_. III
[39.] Exemp. IV.
[40.] Eæemp. V.
[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.
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_XVII._ Ad lentem concavo convexam diverg.
11Fig. 160,
161, 162.
_XVIII._ Ad lentem convexo-concavam converg.
Si Acadat extra BC, fiat AB - {R/I} AC. AB : : BC. BZ; ſin A
cadat inter B, &
C; fiat AB + {R/I} AC. AB : : BC. BZ.
1. Jam cùm Z cadit extra DK, tum primò ſi {I/R} KZ & gt; DZ, fac
{I/R} KZ - DZ.
DZ : : DK. DY, & cape DY adverſus A.
2. Secundò, ſi {I/R} KZ = DZ; imagò infinitè elongabitur.
3. Tertiò, ſi {I/R} KZ & lt; DZ, fac DZ - {I/R} KZ. DZ : : DK.
DY; & ſume DY verſus A.
4. Sed quando Z inter D, & K cadit, fiat DZ + {I/R} KZ. DZ : :
DK.
DY; & accipiatur DY verſus A.
Hiſce ſubnectam ſequentia; non contemnendum in _engyſcopicis_
uſum præ ſe ferentia _Problemata._
I. _Dati puncti propinqui A perfectam imaginem per lentem concavo-_
22Fig. 163. _convexam in aliud datum punctum Z lenti vicinius projicere._
(per-
fectam imaginem intelligo, quæ reſultat ex omnibus, quos ipſum A
diffundit, radiis in ipſa readunatis.)
Fiat I - R. R : : AZ. ZB. & dividatur ZB in C, ut ſit CB.
CZ : : I. R. tum centro C deſcribatur circulus EBF. item centro Z
intervallo quovis ZD (majoriquam ZB) deſcribatur circulus GDH;

factum erit;
nempe lens EFGH puncti A perfectam imaginem in
punctum Z projiciet.
Nota, datâ CB puncta A, Z è propoſitis facilè determinari.
In vitro, ſi CB = 15, erit {ZC = 9 \\ ZB = 24} & {AZ = 16. \\ AB = 40.
Adnotetur etiam per lentem EGHF ad Z tendentes radios ad A
refringi.

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