746346

Index Traétamum,

De fpeculis convexis,cylindricis

conicis.608

35.

v11111s ob;elli ad eundem ocu/11111 in cylmdnm co11-

vexi1, u11teum efl prm{/11111

rejle.~ioms-

609

36. Linea objelliva ax1 para/lela, hal-er 011mi,1 p11nél1t

rejlexioms qtttbtts ad ermdem ocu/11111 rejlel/1t11r

i11 tadem lme!iffiec11h

c;"111lr1c1,.i~ipar.1/lc/,i.1bid.

37.

Lmea in P.1,mo bafis 9•lindr1 dufl,1,

cr'tm

au–

g11l11111

~q11alem

compreherrdem,

1/11

q11e111

rell.t

punélo perpendteulartter rcfP011de11te 1pfi orn/o ad

eam d11c1.t c1't111 eJdem b.ifi co111prehend1t, 1t1I ad

oculum rejle{/1tur

cjus

p1111Ef.1 rej/exio11u fi11t

i11

/mea

a.~1

par.tlle/,I.

610

38.

Si c11juflibet line« duél.t

111

pl.1110 bafis cylindri

déprehendmtt< Cttmea 1t11g11L11111.cq11alem11!1,q11em

lmea panter horlZ(:11tAlts ocu/o reffiondem a'tm

eádem bafi comprehendtt,

r.td

111s mci

dens d11-

cat11r, radms rejlex1oni< «q11alem li11e.im pofl

CJ.–

/111:/111111, abftmdct in pofleriort , dijlamú.

1/l11~s

p1111c1i

cy!mdro.

611

39. De loco mugmu in ffiec11/i< ryli11dricis

convexü.ibid.

40.

!111.tgmem defarmem deline.ire, q11.e i11 ffiec11/o cy–

Jmdnco co11vexo,co11formisprororypo app11re11t.612

41.

Si 0C1tl11; altior fiar loco defli111tto,creflent 1111agmes

m lo11git1idi11em,

depreffior ftat decreflent.

613

4:z..

I111ag111e111 deformatam in pla110 vertica!t de/meare,

q11«

i11

JPeClllo cylmdrico convexo !Jec1ar.1

per–

feEla appareat.

ibid.

43.

011111is /i/Jea COflCt1rrens, et'tm vertice co11i

etlm

axe comprehmdem

1111g11!11111 acutdm

habet

ptmc1ü rej/exio11is,i11 eade111 /111eálo11gi111d1111s.614

44.

Defomi.ttam imaginem m p/11110 hortx,0111,,[1 de–

flrtbere,

1""-

ab oc11/o m axe com produélo

exi–

flente rejlexe perfeéttt vide.mir.

ibid.

iJll·ll!l!lil!t\l:@OO!l!lN>·lllll:il!a:li!!!lll!ll:il!!l:O.OO!l!l!.lll~~1.íl.\

C ATO P T R

C JE.

LIBER III.

l)ROP.

L J/IM

centro jpeculi co11cavi !Jh.trici,

ad punélum rej/exionis dulfa

a11-

g11L11m co111prehe11Ji1111

radits i11ctde11ru.,

re–

jlexio11is btfitri.1111 dividit.

615

111 ./JÍh1.ricis co;¡c.cvir, foliu c11rhett1s incide1m« per

ce11trum rra11fiem, in fe1pji1111 rej/ec11t111.

ibid.

fil

JPecults!Jh.ericis concavis, p1111c1111n rejlexioms

efl

mm· c.1thetos 111etdc11t1.e ,

rejlex10111s.

ibid.

4-·

In !Jec11/1S co11c.:ws, radtt rejlexi 11111111;

difPerg1111~

t11r, q111l111 in planis.

ibid.

Spec11/o concavo defeélm PresbJflllll corrigititr. 616

Specrtlum concav11111 mmom Jj;lu.r.t.

feg111e11111111

magis rej/exos 11111t radios

qu'dm!Jec11lt1111 q11od•

efl

111,¡joris !Jlur.c fegmmrum.

617

Qf!_i fficcu/11111 co11c11v11m propit15 oettlo admovebi111r,

eo rardul; r,1dii 11d

ídem ob1eflu111 pcrunenw,

pofl cr¡jl:Jlli11u111 11nie11t11r.

ibid.

R11di1 i11cide11tes paralleü d1ametro ./JeCl!h JPh.tric1

concavi

rejlexi muwuur ti'mt eádem tbrtmctro,

llUt q1tart11m

ejtts

partem

jitperftcie

j,bec11/t.ibid.

Derermm11re punrta co11et1mis r,1d1ort1111 rejlexo–

mm, crlm d¡ametro, ftet111d1/m var1.1111 .mclma–

tionem.

618

ro.

Radii fol11res ffieculo concavo col/elfi, ignem gene-

rtTYe po/Jimt.

_ibid.

n .

Specula .'!11.eJimt 111i11oris!Jh«r.t. fegmmta

apt1or<1

fimr ad combf1rend11111 quam q1111. majorís.

619

u .

Non·

por~(l

fieri JPemlum co11c11vum, camb11fllv11111

ád

quamcú111q11e dtjla11tia111.

ibid.

13.

Commenrum efl q«od de Archimedís

Proc/J JPe-

culo co1tc11t10 11arrat11r.

620

14.

Spcettl1tmJPh.tr1e11m co1rcav11111 /11cidi,i11 g1111rtá parte

di.1111cm exiflentiI radios remittit par.1/leM.ibid.

15.

Spec11/a concav.i 1111110risjph«r« fegmenta,apmr¡lfimt

11d rejlec1md11111 l11men per /meas para//eLM.

62l

16.

F/,mmiam

cm11/el11.

111

p1111élo foc1

11/ictl)llS jpeculi

ímmotam deti11ere.

ibid.

17.

L1te11l11m

l'lrimm

JPeculo co11r.rro, q11.m1 ¡umc1um

foa, rad1.1t rejle,ú per li11rns d11oergc111rs.

6zt.

18.

Ltmd11111 exijlms mter ce111ru111

¡pm1LI

p1111ét11m

foci, r,1díat

reflexC

per /meM concurrentes.

c~m

axe 11ftrt< centrum,

viujfim.

1b1d.

19.

L11czdm11

ce111ro jpemli co1

1cav1 jph1

1.r1C1 pofitum

fe1pfu111 ta11tu111 reflexe

r.id

i.tr.

623

:?.o.

Modus deflribe11di /111e11m p.trabo/tc,1111.

ibid.

21.

Par1bola 1m1t radios omnes 11xi paraUelos

ptmllo

foct.

6z4

zz.

1>1verfa 111erhod1 11d defmpt1011e111 p.rr.1bol.<. 6z;

23.

A111111/um cauflicum componere.

6z6

24.

Lmea ujlorÚ infinmt.

ibid.

2).

Ad 111axmw11 dtfl.111ti:1111 charaélercs legmdos ex-

hibere.

6:7

'1.6. ne[criptto FJJ;pfis.

'ibi •

z7.

Lucidi í1111110 EllJpfh foco pofiu r11d1t, m alto foco

col!tg1111t1tr.

•

62&

z8.

Alii modi deflribendi Ellypfi11.

ibid.

29. Datd. EllJpfis, mvemre duo pm1lla focorum. 629

30.

Jn q11ocu111q11e loco oc11/11s pofitusJit, fe1pjim1wdtt

in jpeculo jph..rico cot1Cül'O

r.111ulm per dw11e–

r111111.

ibid.

31.

Objefli extrd fPec11ltm1 pofit1

111.1gis

di~.wil

.'t

d1,1merro qu'ltm ocultll

prmEfum rcflr31om!- non

ejl

m ea p.trte .fPec11lz,

111

qua OC!!im,

ob1ea11m

verfmtur.

630

3i..

Objeflum imer cenm1111

pertph«ri.1111 jpmtli

co11C"l" pofir11111 aliq11a11do per piures lmctts re–

flex10111s 11b eodem oettlo v1det11r.

ibid.

33.

ob;eElmu

111

(;1perftete jpecu/i co1teav1 pofi111m vtderi

porefl ab eodem oculo perpiures rad1osrejltxos.ibid.

·34.

l./Jetts imagm1s

i11

jpec11/is concavis mgenere.

631

35'.

111 jpeculis co11cavi& co11111111nrrer locus 1111.igmis

eft

in cathero mcidemu., ftu in commum conettrft ca–

tlmi incidnm.e

line" rej/cx1011ts.

ibid.

36. Objefl11111 vtei11111sjpeculo roncavo,q11artJparte dt.t•

111etri haber 111111gmem 11/tr.'i jprcu!t1111.

63L

37.

C1'tm imago

cjl

extra jpewlum 111.

tjor cjl dtfl.i11ti11

imagims

jper11!0,q:1.)m objrlh

.,¡,

eodcJPcculo.ib.

38.

oó1ec111111

viri11i11s jpecul«, 1111<tglile111 11/rraJPrc11-

lt1111 11ppare11tem viciniorem /J,tber.

63:r.

39.

objec111111 utj11s 1maoo ultra jpec11!11111

efi,

q11~

111.1-

g<s

jpec11/o rem;vebtt<IY

;

m.91ts app.rreb11

mod~

Jir mtraJPcc1t111111

cenrrmn.

ib:d.

40.

Objec1i Cll)tts 1111.igo ultr.1¡pec11/11m .tpparet,

po–

fitt mter cmm1111

JPec11/11111, partes dexn« fi-

11ijlr11. app11rei1t.

41.

Ob1eéli 111

p1111llo foci pofiti 1111ago ejl co11f11J1

vixque 11/111s aJ!jg11art potejl illius lows.

ibid.

42.

ObjeEl11111 inrer '¡oc11111

cemmm jpecul¡ pofttt,

fic11t

111

ce111ro exifle11tis

111111go

ejl

co11f11J1 re–

.JPcél11 oc11/i ante co11wrji1111 rad1omm pofitt.

ibid.

43·

OÚJtfli Ítlfer fOClllll

CClltTll/IJ pojiti

Í11111go cjl

anrt fpecu/11111, 111ag1S dif/111ts

(¡

jpec11lo, qudm ct11-

rr11m.

634

4 4.

Qf!_~

objefl11111 i11ter ce11rrum

foc11111 pofir11111 mr

l'IClll/llS

foco,e~

1111agoerit remottor

jpec11/o.ibid.

45.

objec111111 tot1ile mrer fornm

remmm P.ofit11111

haber

i11111gme111·ante jpeculi cenm1111 app.11eu–

re111, everfam q11Md fir11111.

ib id.

4-6.

Objeé/11111 11111gi< dijfans

fi1perjirie COl/Cdl>J, q11.'im

ce111mmjpec11lt, m1agi11e111 IMbet mter ce11tm111

fac11111 rejpefltt ornll magis d!fl,mtts

;¡

.JPeml•,

q11'4111

111111g•.

ibid.

+7.

Objcc111111 tot11/eremorhts

jpec11lo, q11tt111 q11s cm–

trum,