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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[81.] Not.
[82.] Not.
[83.] Series quarta.
[84.] Not.
[85.] Series quinta.
[86.] Series ſexta.
[87.] Not.
[88.] Series ſeptima.
[89.] Not.
[90.] Series octava.
[91.] Series nona.
[92.] Not.
[93.] Series decima.
[94.] Series undecima.
[95.] Not.
[96.] Series duodecima
[97.] Series decima tertia
[98.] Not.
[99.] Laus DEOO ptimo Maximo. FINIS.
[100.] ERRATA
[101.] Addenda Lectionibus Geometricis.
[102.] _Probl_. I.
[103.] _Probl_. II.
[104.] _Probl_. III.
[105.] Addenda Lectionibus Geometricis.
[106.] _Theor_. I.
[107.] _Theor_. II.
[108.] _Theor_. III.
[109.] _Theor_. IV.
[110.] _Theor_. V.
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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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