o
p
T
"'ere equally bent upward., the piaure would be a round
one upon
tht:
paper
1\1N,
after the rays have beco re·
fra fud, as well as wheo they paffed Uraight forwards aod
fell upon a paper at
Y.
But this refraaed piaure PT is
found to beobloll g. The horizontal di.meter or breadtb
of this oblong piaure is equal to the diameter of the cir–
cular ene Y : but
lhe
perpendicular díameter
oc
height
of ¡he piaure PT is mueh greater thao its breadth. T he
refraétion is made upwards, and
nOI
in a bori2.ontal diree..
tion: thererore
DO
alteration ought to be made in tbe
breadth or horizontal di.meter of the piaure; beeaufe
no rcfrl é\.ion,
that
i,
nOI iD
the direétioo
of
that di:\me"
ter, can make the piélure either broader
oc
narrower.
Aod if all the rays were equally refroaed upwards, Cueh
a refraBion would not ehange the length of the piaure ;
as
it
is round when
it
falls
al
Y, fo
it
would be round
\Vheo it i. ref.aaed upwards by the pri{m anrl f.lls at PT.
This oblong piéture
confin,
thercforc of rays, which. are
dlfferently refrangible: they all f.1I at equal angl<s of
obliouilY upon BC the hrll fide of the priCm , but io the
tcfnaion fome
are
more turned
OUt
of (he
way
than
others : thoCe rays which go tO
P,
the opper part of the
piéture, are the man refrangible; and thofe which go
tO
T, the lower pan of
it,
are leart refrangible: ,he
Ten,
whieh fall betwoco P alld
T,
h..e iotermediare degrees of
refransibility.
Tbis oblong piaure is of ¡¡ilferent coloo.. io dilferent
parlS of it. The mol. refrangible rays
al
1>
are violet, the
leall refrangible at
T
are red; lhe rays of intermediate
refrangibility from the violet dowowards tO the red are
iodigo-coloured. blue, greC"n, yellow, and orange. So
thar the whole piaure is made up of rayo of theCe {eveo
differeot coloon. We may (rom heoce Cee the reaCo.n
wby tbe coloured piélure eoofilliog of differenlly refran–
gible rayo fhould be oblong, in Cueh a man.oer tbat the two
lides of it are right line., and the two ends Cemicircles.
For it conull. (as inNo. H .) offeveneircle., the highell
of which
PAG~is
violet, the lowell STN is red, the
flve iotennediate ones, BH,
el,
D'K,
EL, OM, are
índigo coloured, blue, gre••, yellow, and oraose. The
",hite round piaure
Y,
(No.
3'·.)
i. formed by hetera·
,eneous
ray',
that are of feven dl1Ferent
fons,
dilliD·
guifhed from ooe another by Iheir diff<rent degree, of
refransibility and differcot coloun. The refraétion of
the priCm Ceparates theCe rays from o.e anolher by re–
rraaing Come of thcm more and olhers IcCs. And conCe–
'1uently the reCraaed piaure \ViII confill of · Ceven round
piaures one below anothér. . TheCe round piBur.. are
Ca
Dear
'0
eaeh olher, that the highell of them APGR will
mix itCelf with fome of tboCe bolo..", it, as wi,h BH and
CQ!,
This nearneC. of theCe Ceveral round piBures to
cach other will prevent theireolours from beingdillinBl y
feen; it wil1likewiCe make the fideo AS, GN, which
are compofed of Cmall are, of circlel very clofe to one a–
Mther, appear like right lines; but the two eod, P aod
T
\ViII be Cemicircles.
lf
the centres of theCe circle. cODlinue
al
the Came dif–
tance from one ¡ooIher. and ,he tircles themrdvcs are
made leCs, as
I1Pt. bh,
d,
di,
~/.
(1m, J(n,
they
will
then be dillinét or will
nOI
míx with eaeh otber; and
as
the colaura of the fevera! par" will by tbis means
1
e
s.
be kept feporate,
lo
the «fraaed rays, inll, .d of form–
ing
O~:
continued oblong' piéhae, will form Ceven
[mall
circular cnes placed in a lioe perpendicu-!,H
tO
the norizon.
T his Ceparation of the. C.veral parts in ¡ho refraé1:ed pie–
t~re
from eaeh olher is broogbt abour, (as in No.
34.)
by making the hale F io the window-fhurter vory Cmall,
and by colleéting Ihe rays thar come tn rough il with a coa–
veK len. MN. For this will make a very Cm.U white
pidure of tbe
fUD al
L,
ir
there is
00
pr¡Cm
abe:
but the
refraétion of tbis
prirm.
ir
it is pl8ccd a liule beyond [he
lens..
will
fep.u'i\te
the. ~eterogeneous
nlys
by
rdraéling
them upwards '; aod in(lead of oae fmall round and
whitc
piBure at
L,
there will be Ceven CmaU rouod p,flure.
al
PT,
of
which
r
wiJl
be víotot,
1
indigo,
u
bluc,
x
greca
/ yellow, ,orange, and
z
red.
That the priCon ABC (No. 32 .) does not
m.kethe
nys diverge, fo as to fprcad over the [pace PT,
upon any
other.accouot bUI their difFerent refrangibility, \ViII be
evident, if (as in No.
35 .)
a Ceeond priCm
DH
i. pi••
eed beyond the firll
"be.
For if Ihe rayo that come
from S and p,C. throus" ,he hale F of the window /ho,–
ter EG, were by the Dril F ifm
abe
made to·di.erge aod
fornl the obloog piBure PT upoo .ny otber aeeounr be'
fides their diff<rent refrangibility; then, Cupp ofing. Ce.
cond priCm
DH
10
be pl.ced at right angles to tbe for–
mer, the e!Fea mull be this; th. firll priCm
a"e
make.
the rays diverge (rom ene aDother
iD
a liDe PT perpen..
dicul" to the horizon, and eonCequeotly the feeond priCm
DH
mufi
make them diverge froln
ODe
another in a lino
paralld. to the horizoni
Co
rha, the feeond priCm
IVo.ldincreafe the bre.dih ot ,he piBure,
a.
much as the 6rft
increartd its length; and as one prirm alone makes tho
piBure a loog one, bOlh of them together would make ir
rquare. as'
prll.
But
this recond refraétion does not 3"ltet
the figure of the piBure. but ooly the pofidoo of, i, ,
the Cecood priCm refraas the pla urc fidelv,y,; and thoCo
rays, which fe ll the highell
at
P after the 6rll refrae–
tion, are reCraBed lideway' Ihe moll by the feeond prifm;
thoCe whieh fell the lowell at Tare refraéled fidewaystho
lean; by which
means lhe piéture,
thGuph it
continues
ob–
long, \ViII
Dot
be perpeodicular tothe horizon as PTwas, bt:t
will be inclined
Ca
as to lieió tbe p<1filionpt. This m.kes
it
e–
vident, that the Cpreading of the rays by the 6rll refraBloo
was owing
to
theirdifferent refrangibility
I
and to
DO
otber
cauCe.
It
mull be owing to their different refrangíbi–
lity, becau/;: thoCe whieh were mon refraaed upward.
by the firll priCm are moll refraaed fideways by tho
fecond. It cannot be owing to any other caure. bl!clpfe
if it was, the Cecond prifm would fpread the rays in
bread.h as much as the 6rn priCm Cpreads diem in
Ieo~th.
and botb priCm, ,"ould make the piaur. {quare.
'l'hOft raJi
qf
/ighl, 'Whirh
IIrt mo/l rifrangiblti
aTl
W""'ift m.¡i rtfltxiblt.
When a beam of lig!>t
j.
admitted into a
dar k
charltber
through the hole F in the window-!huuer EG. (No.
3ó.)
and Ihis oeom falls upon a priCm ACB, rhe fides of whicb
AC and AB are equal, .nd .the angle at A a right one ;
when the obliqui.y of theCe ray', .. they are to paCs out
of the prifOl at
liS
baCe BC, i. leCs than
4 0
degre", the
Gr~aleU
p,rt of <he he.m will paC, OUt. but Come few
Tll"
wlII