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Libromm

&

PropoGrionum:

rwrem,

&

partimn dij}ojitio11em..., dum rejle:r:'i:

jpec1,u11r

,

ac ji

dir;fl~JPec1.,~ett1r

ex p1111floca–

r/Jett

refle.~io11il

.tque dijla11te

a

j}ec11/o ac oc11/11s,

111

ji quo1I dextra

m

ordmt ad refp1c1ente111 Jint

jimjlra.

.

580

i6.

objeí11tm

eodem 11lodo

radi.rt

rejlexl:

,

quo direfle

radittret

,

ji.

1111rtartt locum

cum

Ji1.1 1111agme.

ibid.

.

1

7,

si j}wdi

pl~11i

i11di11ttt10 variet11r uno gradu, r.z–

di11.s reflex11.s, ej11fde111 & i111mot1 radtl mcidentts,

d11ob11S gradibm 11111tab1t11r.

581

18.

Moto in orbe;11 jpernlo, apparenter 11101>ef/1Y ob1e–

c?tm1 i11 orbem, 11/uifi¡uc moms

duple.~

ejl

1110-

Nt! JPeculi.

58i.

19.

Fieri potefl 11t aliquiJ jéipfi1111 11011 videat inJPeculo,

ftd ea q11.tfaris ger1111tm·.

ibid.

¡¡o.

~oties

objefl11111 per piures rejlexio11u videtur, ejus

dif/1111tia ab oculo ...qualts

eJl

ommbl/S radtis i11ri–

denti.t,

&

rejlexio11is fimttl jim1ptis.

ibid,

u.

Specttla ita dtj}o11ere

,

llt imago jitblimis

&

vola11s

videat11r.

583

u.

U110 j}emlo 11111/tiplicari potefl obje{/11111.

ibid.

2+

111 j}eculi; vitreis fo/is radiusd11plzcat11r.

. .

584

z4.

In j}ernloJraflo objeé/11111 aliq11ando m11lt1plicatur,

aliq11a1ido

ver~

11011.

585

25.

In

JPe

culrs pla11is jéc1111d11111 co11vexitate111 dij}ofitis

r.ej}

efl11 oc11/t

,

11011 v1det11r objer111111

nifi

femel,

ibid.

26.

J¡¡ j}ec11lis pl1t11ú fecr111d1)111

co11cavitate11~

dij}ofitis,

re.JPeEtu oc11/i

,

potejl 11utlflpftear1 ob1efl11111 pro

1111111ero j}ec11/oru111.

.

.

58

6

z,7,

In

eodem plano j}emlo, potefl 1dem

ob1eif1111V1'.td~1·1

pluriu.

.

.

.

1b1d,

z8.

Duobus ¡pemliJ

,

ob1efl11m q11111q111es

,

11t fexzes

111tJlupbcau.

ibid.

z9.

Dt1abu1 JPec11/zs objefl11111

i11fi1tities 1111dtiplicare.

581

-3º·

111

refie:r:ionib11s pla11omm fpemloT1/m 1111111ero

i)11-

parib11s dextra appam1t jinif/ra,

&

in numero

partbus dextra apparent dextra.

588

31.

Spec11/,1ita dtj}o11erc

,

: 11t iis motis ej11fdem objcEli

imago 11111 accedat

,

alia recedat.

589

32.

Vari"' defom111t101(es.

ibid.

33.

Objec?orumJjeczes per foramen emiffes in c11bic1d11111

cl1111fi1m jpemlo plano erigere.

590

e

A T

o

p .

T R I

e

.tE

LIBER

II.

De fpeculis convexis.

PrtoP. l .

LJnea d11fl11

.:1

centro jpec11/i per p1mfl11m

rejlexionis dividir bifiiriam a11g11llim

có111prehe11ji1111

a

radiis i11cide11ti<1.

&

rejlexio11is.

593

z.

Solrt4 cathettt! incidenti.t in /eipfum rejleélit11t,

594

3.

JlrmE/11111 rejlexio11il in JPecrtlis fpbd.rtcis

,

efi

i11tir

cathetos mC1de11t1.t,

&

rejlc:r:ionis.

ibid. ·

Radi11s rejlexus t11 conve:r:is fph<1.ricis c11111 catbeto

i~cidmti.t

co11currit, & viciffim raditrs incide1i-

11..

c11111 catlmo rejlexio11is.

ibid.

5".

Radius

~11c~de11ti.t

c11m car/Jeto

rejle.~ionis,&

raditls

refiex10111s cum catheto i1nide11ti« co11curT1111t

m–

f':

t

a11~e11rem

d11é111111 per p1111ll11111 rejlexionis,

6

ji1pra cenrrum.

'59'')

6•

A.b

e~dem

objel!i Nmélo ad eundem oc11!11111

,

ab

muco t1111111m.1Jec11/i.fph<1.rici co11ve.<i p1mllo fie-

11

~~~.'f~·\~·

ibiél.

7. R.1d11

rejfe.~1 i~

fPet:rr/11

Cb11ve.~is

11/1tgis dif}erguil::

tur

,

qw1111

111

fPrculrs

plams.

ibid.

8.

Spewlo Jplh!.mo convexo difeél11111 m;optms corr¡;.

gere.

6

9.

Speculum convexmn mmorts

¡p!,,,:u.

ftgmentt~~

,

11z.tgts d

zfpergu Tddros

rejlexos

,

quam /Pmdum

q11od e(t

111a1oruJPh.tr"

- jégmtnttim.

591

10.

~ofpecri/1~11

com,ex1m1 propuls ocu/3 admo"<b1tur,

eo tard11u rad11 ad 1dem ob1eflu111 pertmemes

pojl cryflaU1111m111111e11t11r.

ibid

11.

St objeif11m

&

oc11lus «qt1a/irer

a

fpecu/o dtjlenr•

prmf/11111 rejfexwr111 .tqu11liter difl11t ub 11traqu;

c.1tbeto:

ibid.

11••

Eadem

ejl

ratio totirfs Catheti incide11tid. ad lmeam

i11tercepta111

,

111rer ce1m·um fpcc11/1

&

co11rnrji11n

r11dii rejlex10111S' qt1<1. ef/ diflami.t. objefli

a

tan~

gente ad 1111e11m mrercepram ínter ra11gentem

&

co11c11rfi1111 radti 1'Jlfiexio11is

,

mm c:rthe10

i11~

cide11t1.t.

598

r3.

Locus 1m11gi1Ti1 i11fpec11/isfpb«ricis co11vexis.

ibid,

14.

.M.gor

ejl

dzjl1mtza rmaginis

d

centro, q11a111

a

p1111-

flo rejle:r:1onu.

6oi

r5.

Majo~

eJl

dijl~nria

objeifi ad fPern/11111 co11vex1111z,

quam

mlágmu arl rdem fPecu/11111.

ibid.

16.

Dif/a11t1tt i111agi11is

.t

centro m1gor efl dimidia parte

ftmidi11111em.

ibicl

17.

P11vc?i re111011oru

.t

jpec11/o

m

eodem catheto

111

¡;

1

~

de11ti~

affi.m:pri,

Úllt~o

vicmior efl centro,

quam~

ptmfü 1111111u

re111011.

ibid.

18.

Loms imaginis aliq11a11do intra ffieczt/11111, aliq11an–

do

i11

ji1pcrfic1e fpecul1,

&

al1q11ando extra fpec11-

l11m app11ret.

6o:z;

19.

In fpeculis convexis, imagines o/;je(Jorum. ipfis objefl1s

·

1m11om appttre11t.

ibid.

20.

I11 mi11orifpemlo convexo

,

i111agi11es appare11t mi-

nores, q11am i11111ajori,

603

21,

Oculo 1111111oro,jiobjeélum adfpec11l1111111ccedat,111a-

jor iUim appareb11 ,imago.

604

u .

Oculo

,ªd

jpeculr~m co11ve~11111

11ccede11re imagines

mmus dijlant a ji1perjiC1e fpewlz,

&

majores

"{l–

pttrent.

ibid.

23.

In fpemlrs conre:r:iJ dextra apparwtJi11ijlra.

ibid.

:i.4.

Objefla .tqu,rlrter

.:1

centro jpecrtli, & ab octtlo di–

fla11tiá, habent m1agmes

~

.iqttalirer

.:1

centro di-

jla11res.

1

605

25.

Objefl~T111n

.equalirer .

.:1

fpeculo co11vexo

,

imago

vwmorzs oc11lo, vzc1111or

ejl

centro fpecult.

ibid.

:t6.

Circ11lm [pernio co11ce11rrtc11s tta j}ec1atm

,

11t lineit

duc1a ab oc11/o ad ce11tru111 j}eculi jit ad illius

plam1111 re[ft1

,

apparet 11t circ11lus etiam con–

centriws.

ibid•

•2'7.

Line.t per cenm1111 circ11/i rranfe11111ú imago efl li.-

11ea refla.

606

28.

Circul11.sfpec11/o co11centric11s

it11 fpeflatus, 111 linea

~b

omlo ad ej11s ce11tr11111 duifa

,

oblzque i11cidat

m

l!)Us

pla1111111

,

cirmlarem habet 1magi11m1, fed

e:r:centrrcam.

ibid.

29.

Circ11/11s m crgr" plano ctntmm fpeculi

ejl

mima

convexus

,

quirm circ11l11s

co11m1tric111,

/Jabe~

/maginem convexam.

ibid.

36.

Oi1111i1 line.._ fpem/11111 11onfacantís imago

eJl

conve-

xa.

ibid,

31.

Omnis tirc11/z11 c11j11s co11vexitt11 ¡pmrlum refpicit

,

1111.1gi11e111 habet tonve:r:am.

607

32.

Jinago czrculi

111

wjm plano centrttm jpeculi conve.-

x111011 exijlit

~11rvi/

111ea

ejl.

ibid:

.33.

Li11e.i fpccu/11111

ftc.ms

al1q111111do lit pu11c111111,

ali~

q11a11do

111

rcf

l.r fi11M, pe[ ltt tdlltif}er

a

re{/,,

dcjleflem appartt.

lb

id,

34

.ldem objeé/11111

per 11111/tiplicem rejlexionem i11

j}ec11l11 co11ve.o:r< fac1am videri potejl,

ibici:

í

ij

/