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

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

Table of contents

[Item 1.]

[2.] Imprimatur,

[3.] LECTIONES _OPTICÆ & GEOMETRICÆ:_ In quibus PHÆNOMENωN OPTICORUM Genuinæ _Rationes_ inveſtigantur, ac exponuntur: ET _Generalia_ Curvarum Linearum _Symptomata declarantur_. Auctore Isaaco Barrow, Collegii _S S. Trinitatis_ in Academia _Cantab._ Præfecto, Et _SOCIETATIS REGIÆ_ Sodale.

[4.] LONDINI, Typis _Guilielmi Godbid_, & proſtant venales apud _Robertum Scott_, in vico Little-Britain. 1674.

[5.] SPECTATISSIMIS VIRIS Roberto Raworth & Thomæ Buck ARMIGERIS;

[6.] Iſaac Barrow

[7.] Epistola ad LECTOREM.

[8.] Epiſtola; in qua Operis hujus Argumen-tum, & ſcopus brevitèr exponuntur.

[9.] Lect. I.

[10.] Lect. II.

[11.] Lect. III.

[12.] _Corol_. 1. Ang. _a_ BG. ang. _a_ BP > ang. δ BH. ang. δ BP. 2. Ang. _a_ BG. ang. PBG > ang. δ BH. PBH.

[13.] Lect. IV.

[14.] Lect.V.

[15.] Lect. VI.

[16.] Lect. VI I.

[17.] Lect. VIII.

[18.] Lect. IX.

[19.] Lect. X.

[20.] Lect. XIV.

[21.] Lect. XV.

Page: 122 (104)

[22.] APPENDICVLA.

Page: 126 (108)

[23.] Lect. XVI.

Page: 129 (111)

[24.] Lect. XVII.

Page: 135 (117)

[25.] Lect. XVIII.

Page: 139 (121)

[26.] ERRATA.

Page: 145 (127)

[27.] Benevolo Lectori.

[28.] Lectio I.

[29.] Lect. II.

[30.] Lect. III.

119101

Si A cadat extra BC, fiat AB - {R/I} AC. AB : : BC. BZ; ſin A
11Fig. 159. cadat inter B, C; fiat AB + {R/I} AC. AB : : BC. BZ; deinde fac
{I/R} KZ - DZ. DZ : : DK. DY.

Coroll- Adintegram Sphæram converg.

Si punctum A extra BC ponatur, fiat AB + {I-2R/I} AC : : BC.
CY. ſin A cadat inter B, & C; fiat AB+{2R-I/I} AC. AC : :
BC. CY; & cape CY ad partes centri verſus A.

_XV._ Ad lentera convexo-concavam diverg.

22Fig. 160,
161.

_XVI._ Ad lentem concavo convexam converg.

1. Si AB & lt; {R/I} AC; puncta Z, & Y verſus A cadunt, facto
{R/I} AC - AB. AB : : BC. BZ; & {I/R} KZ - DZ. DZ : : DK. DY.

2. Si AB = {R/I} AC; fac I - R. R : : DK. DY; & cape DY
verſus A.

3. Si AB & gt; {R/I} AC; fac AB - {R/I} AC. AB : : BC. BZ; &
cape BZ adverſus A. Jam quum Z cadit extra DK, tum primò ſi
{I/R} KZ & gt; DZ, fac {I/R} KZ - DZ. DZ : : DK. DY; & cape DY
verſus A.

4. Secundò, ſi {I/R} KZ = DZ, imago infinitè diſtabit.

5. Tertiò, ſi {I/R} KZ & lt; DZ, fac DZ - {I/R} KZ. DZ : : DK.
DY, & ſume DY adverſus A.

6. Sed quando Z inter D, & K cadit; fiat DZ + {I/R} KZ. DZ : :
DK. DY; & ſumatur DY adverſus A.

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