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

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9375
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
.

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