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Liber

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PROPOSI'FIO

V.

Theorema.

Si objeíltim

Jir

P"r11llelum fl1perficiei corporú re–

fringattiJ

&

ocultu ji1mt in

perpwdiculari

dufJ•

a

medio ob¡céH

ad

/i•ptrficicm

illi11s

corport;

,

imago ob¡eéli major apparebit ob–

jefJo

&

propiol'.

1

Sir fuperficies diapha1ii dc11fiori's A B firque

A~H

B

E

F

C

D

G

objeél:um CD illi fuperficiei parallelum, firque

II l.

73)

Jec~~~i'nª~e;Jec~dic.ulari

G H .duél:a

a

medio ob–

rimrum maju;. fic1cm

AB'

d1co ob¡eélum •ppa-

h Demonft'.ª

1

.io. Punél:um C apparebit in ca-

~ et~

11

:~~rp~cf; ~n~'

&

in lo_co alciori quam

fi

P

.

.

P

0

E. •

pattter pu11élum

O

peél:ab1cur

1n

F; ergo ªl'Pª«ntia objcéli C D •

em.

E .F,

fed

E F

fpeétatur fub angulo

E H F,

~a¡or~

;.

qua~

lit

CH

D;

ergo maius videbitur

In

rah

d.1fpoqc1~11e

objeélum per refrafüoncm,

quam d1reél:e v1derccur, quod erar demoni\ran–

dum.

Q_u:z: demonílrario u11iverfalior fieri poífet,

fi

nemp.e

~on

ra11rum

~cul~s

eífer in ipfa pcrpendi–

culan linea , fed euam

lll

plano ad lineam

e o

reél:o; quia in bis calibus femper linea EF,Ípeél:a–

b1rur majar quam CD. Q.uare in om11ibus

fcrc

cafibus apparer objellum inrra aquam immerfmrt

paulo majus. Non perfequor omnes cafus, quia

ur oll:endi principium qno nirurimr 11011 cll: ita

inconcuffum , ur aliqua experienri:z: 11011 conrradi–

cam, quid vero in c:z:reris corporibus

pr:z:cipu~

fpha:ricis •ccidat, ex aliis principiis Catis foperque

demon!haviml\S.

SVPPOSITIO

Ad naturam refraétionum coloratorum

explícandam.

ATE R l A M 11ggredim11r diflicillimam, faltem q1111mdi11 in principiis phyficii

ver(dbim11r

,

fJttd! q11idem mathcmaticU1 int11{/a pojfet omitme

,

Jitppojitifq11e

11/rqttib@ experientiis , ttÍleriru progredi ,

&

ea tantum 11ttingere

,

qtM aa

1pjir14

ob¡ec111m pertinent

,

nemp"I: t¡ttd! ad pondU1 n11memm

&

menfhram fpeélant.

f2!!;tre Ji•ppojito q11od in aq116! g11tta q11á!tbet

,

e:" cerio

&

determin11to ang11lo

JJeél11ta, certus iridis color 11ppareat

,

¡,,czte iridis, rotttnditlU, loe&,

&

jitru Cd!lerd!qt1i

propriettttes item coron11mm cti11m geome1rice

a

Mathematico demoefl111nt11r

;

q1tia t11mm

eti11m ex noftris principiis mult11m l11cis, htúc phi!ofophú p111ti 11./fimdi potejl, hanc veniam

mihi concedt vel1m, ru liceat nonnihil philofoph11m agere,

&

q11id certi, quid incmi, quid

probabilis

in

hac materia affirat philofophia invefligare. Primo q11idem hanc exiflimo

re-'

JJonfzonem rejiciendam, 11t invalidam

&

injif[(icientem, q11á tantttm in genere af{erit ex

va~

ria l11cis ,

&

opaci mixtione v11ms colores oriri

&

nihil in partiwlari explicat

,

71ec

t1IL~m

fa!tem prob11bilem rationem in medi1mi ajfert cltY Ji1b tali determinato angttlo is potirls

1

q11am alitts color Je

(e

!Jeéland11m exhibeat.

Neqree ego hic me rationem convincentem

&

cui omninopojit mens acqmefiere all11turttrn in me recipio; tentaf{e t11men jwvabit,

&

aliort1m

attt comment11, aut rationes examinaml1U proponere. Ne tamen in incermm jl11Eltiemr1s ab ex-'

perientiis certis

&

ind11bitatis exordiend11m

eJl

:

ideoqrie elU refmcm experientilH qnd! in q1d-

/ibet grttta aqttd! attt in phiala aqtea plena

a

quol1bet feri pofomt.

. .

.

P11ter Franctfc1u Maria Grima/di in opere pofthremo de /umine, colorationes l11mtl!tJ, r::•

diis dijfraElú trib11it.

//t1lt ergo qt1oties t"adires

ita 1111t coarElatter, a11t rejleélitr'.r, ut .non

rmiformiter d1Jergatrer, fed qttaji mm violenti11 in panes non tmittt-s ª.beat

,

totles

fim

~o­

iorationem. f2!!_am di!Jerfionem aliter explicare non pot

1

ei,

nifi q11od f/1d1us 1.q11e

untfo~mrttf

extr.ndt

&

q11afi dilatari debteerat, pl11s ex rena parte dt!atttllr, r¡1111m ex alta. ideo

mgon~metriam adhibrei ut experiret

,

1111

¡,,

ommb1'S color11tionib11s apparentebtJS

,

id(emper evem–

ret

5

re(ponditq11e calmlru cog/tatis. Hanc igitter di/fraElionem mdii

l'lJeQ

modo e.vpltcabo,

iJ'

in ea Jitam effe colorat1onem apparentem oftendam,

D IGRESSI O