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

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120102

_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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Scan	Original
81	63
82	64
83	65
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85	67
86	68
87	69
88	70
89	71
90	72
91	73
92	74
93	75
94	76
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97	79
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108	90
109	91
110	92