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Index Traétatuum,
ptttttUelos, circtt
ce11tr11111
fi1.t co11vexit11tú.
663
:i.5.
rcntil convexo-convex.t, etiam in.tq11alm111 fP'1.t-
ricitatmn, foctm1 determinare.
664
:i.6.
Ut
aggregat11m femidiametromm co11vexitat¡1111 ad
ftmidiametrmn obverfa ad l1wdu111
;
tta dtame-
ter reliqu.t ad dif/am111111 loci.
ibid.
27.
In
lentibus convexo-com•exü q11ibufc11111q11e eadem
efl foci difla11ti.i
,
q11amC11111q11e co11vex1t.ttem ad
lttcidum obvertM.
665
2.8
Ltmul.1
feu mmifa115 babe11r diametrl/IJJ co1icavita–
tis rriplum diametri co11vexitaru, foCllm babet
diflantem ftm1diametro co·11c,witati1.
ibid.
-z9. D11ta co11vexttate
,
i11ve11ire conc11Vitat4111 qu.t 11/i
addit.i menifa11111faci,u dererm111ati foci.
ibid.
30.
Me11ifa11r .tq11alis co11vex1tattr
&
co11c.1vitatis i1111ti.-
/¡s
eft 1udlu111q11e ¡,,,/;et foc11m.
666
31.
Si 111wifa1u co11ca1•it1ms femid111merrum tripl11111 ha–
bt11i femid111i11etri couvcxitatir, co11c11v1tare111
ad
lucidum obvert.1t, foci diflanti1m1 parirer .tq1111-
lem IM/;ebtt femirtumetro co11c11Vwrtu.
ibid.
p.
I11 menifau proprm
,
ita ejl dtfferenria i11rer femi–
diametros co11vexit.1tis,
&
ro11ctt1•1tatir
,
1Ul fe–
niid1ametmm co11vexitttttr ,
tlt
d1.1meter co11cav1-
ttttir ad dijlanti,mi foci.
667
33.
II!
111enifatr im'p-;opr1is it.1 ejl differenria femidi,1111e–
tromm co11vex1t11m,
6
co11c1vttatil ad fcmidiíl–
metrum co11vexit1ttis
,
ttt
dt:tmeter concavitatts,
ad difla11ri.1m foú 1•irt11alir.
668
34.
l1J
menifcis improprtis fi concavitatis obverfa ad
lucidum femidi11111eter
,
fuertt triem co11vexttaw,
focm virtualis crit in centro convexitatir.
ibid.
35.
Foc"' virtualir fPecillomm plano concavomm
eJI
m
dijl.mtta diametri co11c.wit.itiI.
669
36.
Specilla .tqualiter 11trinq11e contllVa, foc11111 vimta–
lem habent ad dijlantiam femidiametri.
ibid.
37.
Specilli tttrmque cavifocum virmalem reperirc.670
38.
Vt
ttggreg11t11111 ft111idiametrort1111 concavita111111 fPe–
cillt conc,¡vi,adfemidiametrum co11ca]!iratir obver–
f.t ad luádttm,ita diameter
a
reliqtta, ad diflan.
tiam foci virtttalis.
ibid.
39.
IJ1 conve. ..:o· co11vexis fi lucid11111 fit i11 extremitate
diametri,focrts in alteriur diametri extremitate
conjl1t11et11r.
671
4-0.
111
pla110-co11vexis ita
eJI
excej/its tlif/a11ti.t lucidi
ji1prtt dittmetmm, ttd diamcmm1,
111
rota diflan–
titt objec'"li ad dijlantiamfoct.
ibid.
41.
Lucido mim/s dij/ante
a
leme plano-co11cava, qttam
focus ordi11arim, ita
eJI
diflanria /11cidi
a
cemro
convexitatis ad diametr11m, 11t dij/antia /ucidi
a
lente ad difla11tiamfoci virtualis.
67z
4z.
In plano-concttvir
,
fi p11nc111111 ad quod convergrmt
radii,fiterit remotitts
a
lmre, quam diametro; ita
erit excej/i" h11j1u diflanti.t fupra di11111err11111, ad
diametrit, ita dij/antia illius
a
leme ad dijlantiam
foci imaginarii,a q110 ftilicet diverger r¡tdi11r. 673
+3•
111
plano-contavü fi .punc1um
convergenri~
radio·
mm viciniusfi1erit lemi,quam diameter, ita erit
excef/i15 diametri jitpra banc diflantiam ad dia-
111ctr11m,
ttt
h~c
dijlantra ad dijlanria111 foci veré
&
rettlü.
674
44.
Radiris refralltu in duabtts ji1perficieb11s paralle/ü
incidemi rejlit11it11r para/Jelus.
675
+;.
In plano convexis aut pla110-conctt11ir, radii in ver·
tícem incidentes remitmntur paralleli.
ibid .
..i,.6.
Radii obliq11e i11cidentcr prope verricem
i11
lentem
convexo cqnvexam, aut concavo-concavam
,
re–
mitr1111t11r paralleli.
ibid.
" :47·
Radri
para/Jeli ob/ique i11cide11tes in fi1perficiem pla·
".ªm
fp~cil/i
plano-co11vexi
,
1mi1111t11r ad difla11-
tram dramerri.
'
ibid.
+8.
Radii
p~ra//e/¡
mcidentes in ji1perficiem co11vexam
fpwlli plano-convexi
,
tmitmtl/r ad
dijlanti1llll
diameth.
676
49. Radii quicumque i11ter fe paralleli,i11 lente111 con•
vexo-comiexavi incrdmtes
,
conc11rr1111t in d1fl11n–
tifl c1rctrer foci principalis.
•
ibid.
50.
Spealla convexa objell1 dij/amis i111agi11em depm·
g1111t inverfo fittt
,
&
conctl\la vmua/em habent
erellam in diflantifl fui foci.
677
51.
Vt diflamia objeEli
a
lente ad dijla111ia111 i111ag1111s,
ita diameter objelli ad d111111emm1 imagi111s. 678
52.
PrmE/11111 'comb11Jlwmr le11tis convex.t foil e..:pofiu,
mdivifibile 11011
ejl
,
fed
cJI
miago folrs, 111a;or
m
lent1b11s 111ajomfpb.trtttt.ttü.
ibid.
53·
Sin1tles lc11res
111~q11al111m
jph.trarum
,
«qttalem l11-
mm1s mrenrio11e111 vide11111r efficere.
679
54.
St l11111mofim1divifibile i11 foco Jlawat11r
,
11011
0111-
11cs radtt,
vi
le11w co11vex.i, re111me11t11r par,tl/rli,
ibid.
5'í·
Le11S magis deteEla i111agine11111011 exbibet majorem,
ftd mwifiorem
&
co11f11Jiore111.
680
56. !mago q11ac111111l"e leme convexa exhibetttr
i11.'''.""
ro
,
n1t1jor protorypo.
J
bid.
57.
Exig11i prororypi, 111J1ca
lente co11rexa ampltfica-
tam i111agi11em
i11
pariere exhibcre.
680
58.
In ipfa lente dcpiEla, potejl ad altquam dijl.mtiam
exlnberi tiq11alts, aut eriam ma;or.
681
59.
Ellypfi11 defcrtbere,q11.t refraélt radios axi paralltlos
in eodem puche pu11flo 1111i.1t.
ibid.
60. Vtmti1 llln11IM ellypt1t1Hejformare, q11ib11s rad11 ptt•
r.tllcli axi,
111
11no pr.tcise punllo 1111wtt11r.
68:t
61.
Speci/111111 ellyprico co11cav11111 co11/lr11ere, q11adrttd1os
axt para/lelos, rcmiuat ab eode111 p1111Elo dn•er•
gentes.
ibid.
6z. Defcrtptio hyperbol.t.
ibid.
63.
Hyperbolam defcribere,
i11
eaque determi11ttre ta11-
ge11tem C«tcrttf¡11eproprietam
explic~re.
683
64.
Hyperbola1h defcribcre
,
in
quam radii i11cidenm
paralleli axi 11ma11111r
111
foco co11tra pofit« lryper-
~
bol.t.
.
'. ibid.
6). Spect/111111 pla110-liyperbolte11111 co11vex11m 11111t 01111•ts
radios axi para/1.1/os,pr.tcise in eode111 p1111Elo.684
66. Specil/11111 pla110-hyperboltc11111 concav11m r11d1os axi
para/lelos re111itrit divergentes
J
foco contra pofi–
t<t hyperbol.e.
ibid.
67.
Lem
hyperbo/1Ca 11tri11q11e co11vextt radios ab
111111¡;
hyperbolttfoco remoto prodeuntes,
m
alteri11s fo–
cum
ertam remotum ren11ttit.
685
68. lmpropria menifarts liyperboltca radios prode1111w
~
foco remotiore concttvitaw, re1mmr ut divergen·
tes afoco remotiore co11vexitatlf.
ibid.
69. Specr//11111 11trmq11e cav11111 hyperbolicmn, radios ad
1111i11s foc11m remoriorem co1111ergenrer,remitt1t di·
vergenres ab alterittsfoco remor:iore.
686
lJllli.ll¡¡:¡jNi@·ll"l!W!l!J.lJll!li!l!Mll·lil!l11N!!ill@ll"l!WOO!!!t
DIOPTRIC ES
L 1
B E ·R
I
I.
Varire fpe.cillorum <;ombinationes
P ROP.
l.
s·r
lem co11vexa. pojl alteram ante
p1111~
ll11111 conmrfirr foci adhibe.1t11r
,
accc–
leratttr co11c11rfi1s penicillomm, jitqtte fo1.tgo di·
JlmEla objellorum dijla11t1t1m mi11or.
687
z.
I11 eode111 cafit
,
quo 111ag1s fec1111da lens removebt·
tttr
d
prim"
,
eo 111ajor erit imago
,
fedfe111per mi·
nor
,
q11am qu.t per folam primam lentem ex/11-
bermtr.
ibid.
.3·
Si poft lentcm (011vexa111 majore111 adhibetttllr lens
convexa nii119r, fieri poterit
ut
imago 11tri1tf¡11e
fi11111I