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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I. _CAtoptricâ circulari defunctus ad Dioptricam promovemur;_
quorſum incidentium quotcunque refractis unâ ſimulo perâ
delineandis, adeóque reſractionum ſymptomatis organicè pertentan-
dis modum imprimìs exponemus, præ cæteris, opinor expeditum.

Seorſim ad v γ æqualem diametro (NG) circuli refringentis deſcri-
batur circulus v π γ.
item habeat v γ ad S γ rationem illam, quæ re-
fractiones determinat (illam autem deinceps, ut antehac, conſtanter
nuncupabo rationem I ad R) &
ſuper diametro S γ deſcribatur quo-
que circulus SH γ.
Incidat jam radius quilibet MN P, cui con-
11Fig. 107.
108.
veniens deſignandus eſt refractus.
ut hoc aſlequamur, circulo adpoſi-
to à V adaptetur v π = NP;
& centro γ per π deſcriptus circulus
ſecet circulum SH γ in H;
connexáque γ Hcirculum v π γ interſecet
in ξ.
demùm connexâ v ξ, circulo NPGaccommodetur NX =
v ξ;
erit NX ipſius NP refractus. Etenim (ductis GP, GX) eſt
γ H.
γ ξ : : (γ S γ v : :) I. R. hoc eſt γ π. γ ξ: :I. R. hoc eſt
GP.
GX: : I. R. cùm itaque ſint ipſæ GP, GX recti ſinus angulo-
rum GN π, GNX(quorum GNPeſt angulus incidentiæ) liquet
propoſitum.
II. Ad ipſa _Symptomata_ progrediamur exponenda radiis ad circu-
lum refractis competentia;
quorum illa pro more primò pertractabi-
22Fig. 109. mus, quæ radianti puncto conveniunt ad infinitam quaſi diſtantiam
poſito, ſeu parallelos ad ſenſum radios ejaculanti.
Quocirca per
circuli refringentis Centrum C punctúmque de longinquo radians
protendatur recta AC Z;
tum fiat BZ. CZ: : I. R; nec non di-
vidatur CZ in F, ut ſit FZ.
FC: : I. R; & centro F per Z deſcri-
batur circulus EG Z.
his peractis, accipiatur jam quilibet ad AC
parallelus MNP(convexis incidens an concavis partibus perinde
fuerit) dico ſi recta NC (ab incidentiæ nempe puncto per refrin-
gentis centrum ducta) circulo EGZprotracta occurrat in G;
&

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