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.

8769

Lect. X.

1. IN poſtrema Lectione quod ſpectavimus punctum circuli convexo
alluxit; nunc parte@ concavas irradians aliud, at magìs @ π’ π ω,
contemplabimur. & quidem caſuum præcipuorum diverſitatem im-
primìs diſtinguemus. Nempe radiet punctum A in circulum re-
flectentem, cujus centrum C; connexaque recta AC protendatur in-
definitè; quo poſito.

II. 1. Incidat radius AN; & ſit AN = AC; erit ipſius AN
reflexus, puta N _a_, ad AC parallelus.

11Fig. 97.

Hoc è ſuprà generatim oſtenſis conſtat; & facilè jam patet, con-
nexâ CA. etenim eſt ang. ACN = AN C; ob AC, AN, ex
Hypotheſi pares; & ang. ANC = _a_ NC, propter reflectionem;
adeóque ang. ACN = _a_ NC; unde ſunt AC, N _a_ ſibi paralle-
læ.

III. 2. Incidat radius AM major ipsâ AC; ejus reflexus (puta
22Fig. 98. M _a_) cum axe directè procedens conveniet ultra centrum, reſpectu
puncti A; (hoc eſt centrum C puncto radianti, concurſuique inter-
jacebit).

Nam ob AM & gt; AC, erit ang. ACM& gt; AMC = CM _a_.
ergo ang. BCM+ CM _a_ & lt; ang. BCM+ ACM = 2 rect.
quare M _a_, CB convenient infra CM ad partes _a_ B; velut
ad K.

IV. 3. Incidat radius AR; & ſit AR minor ipsâ AC; ejus
33Fig. 99. reflexus, puta R _a_, axi retrò protractus occurret. (hoceſt ut radians
centro, concurſuíque ſit interjectum).

Nam hîc ob AR & lt; AC; erit ang. ACR& lt; ang ARC = ang.
_a_ RC. quapropter ang. DCR+ _a_ RC & gt; 2 rect. unde patet ipſas
D C, _a_ R portractas infra CR concurrere.

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