CAG IX Simplicius in Physica

COMMENTARIA IN

ARISTOTELEM GRAECA

EDITA CONSILIO ET AUCTORITATE

ACADEMAE LITTERARUM REGIAE BORUSSICAE

VOLUMEN SIMPLICII IN

IX

PHYSICORUM LIBROS QUATTUOR PRIORES

BEROLINI TYPIS ET IMPENSIS

G.

MDCCCLXXXII

REIMERI

SIMPLICII IN ARISTOTELIS

PHYSICORUM

LIBROS QUATTUOR PRIORES

COMMENTARIA

CONSILIO ET AUCTORITATE

ACADEMIAE LITTERARUM REGIAE BORUSSICAE

HERMANNUS DIELS

BEROLINI TYPIS ET IMPENSIS

G.

MDCCCLXXXII

REIMERI

OCT

1

4 1950

PRAEFATIO Simplicii in Physica Aristotelis

commentaria non solum interpretis

prudentia atque doctrina, sed etiam ipsa

magnitudine

libri

nam

cipem locum in hoc scriptorum numero obtinent. unus ambitu quoque comparari

Alexandri in eadem Physica com-

possit,

itaque infinita prope materia

mentaria.^

maiorem quattuor

divisa est,

simili coacti necessitate

iu

quod unum librorum

retinuit

ope

^

parti mihi

operis

quem nos

titulum,

quoque refingere non

prioribus

in

optimum

(A), vetustissimum et

antiquum

destituti

servatam nos

nunc

priori

qui posteriora tantum exhibent, nisi

licet,

quod honoris causa nomino Marcianum 226

exemplum,

posteriores libros

optimis libris

sumus amplexi. quam ob rem

praefaturo eos codices omittere

ceterorum

duas imparis sane partes

in

minorem quattuor

priores

antiquam hanc divisionem

complexam.

facile prin-

periit is liber, qui

dubitavimus.^

Si Arabibus fides

*

1873

respondebant:

A

est (A. MiiUer

Arab.

p. 17, Gasiri Bibl. II libri

(I et

I

p. 243),

pars

praeter partem tertii de tempore),

6

I

liber (paene totus perierat).

1550 et

fol. t.

IV

p.

^ra^]

Die

II extabat),

E

I

liber,

Z

B

I

P

liber,

I liber

d.

(perierat),

arab.

Ueberl. Halle

libri sic Aristoteleis

A

III libri

(plus dimidio servabatur),

et

septimum:

et

ijuod habelur super

Byzantinorum

I

liber,

partem octavi

Alexundri; idem confirmant eius ex Alexandro excerpta, de quibus alias

tulit

(extabant

H

nec ab Alexandro verborum explanatio cognita est nisi sub partem primi

:

dicam. apud Graecos mature periisse Alexandi-um non mirum

non

in

minimum

simile exemplar fuit Averrois, ut ipse dicit initio [Venet.

super secundum, quartum quintum sextum

7ion est

griech. Philosophen

Alexandri undecim

est.

[cf. p. xi,

9]

duo eius modi corpora

cum praesertim Simplicius optima quaeque ex Alexandro iure nam observandum est summam capitum fere ubique esse Alexan-

aetas,

tralaticio transcripsisset.

dream, cuius plenimque nomen, nisi ubi dissentire placebat Simplicio, non apparet. raro aliena T.OTt illo ^

A

i.

e.

Alexandrea antea repetita esse

ita significavit, ut

haud suam interpretationem a [jli^-

exorsus contra poneret. eadem ratione quamvis minus frequenter Themistio abutitur. inscribit, ut

otiosum videatur

hoc utar, 2.

o Iotiv

cp.

commentarii diversos esse appareat. retur, ubi plura saepe

tlz

xo Cîxa

ttjj i.

cp.

dxp. 7:p(L-ov o âxiv Ixtov.

quod

2xtov ideo additum est, ut Aristotelis numeros et vulgares Simpliciani

sed factum esse potest ut antiquitus ille mos transfervolumiua uni Aristotelis libro subtexere nou inusitatum cf. n. 1.

PRAEFATIO

VI

librorum

Igitur

Archetypus

IV codices quotquot

I II III

in notitiam nostram

venerunt/ ex archetypo aliquanto post Simplicium exarato manarunt,

quod cum ex

icl

turbis apparet

ex lacunis et fenestris

518

p.

p.

238,5 in omnibus ex

relictis.

libris

autem duo deducta sunt

illo

exemplaria, quorum melius eis quos arclietypus habebat quattuor

contentum

fuit,

tum

obviis

libris

deterius alterum posterioribus aliunde accitis libris totum

corpus complexum

est.

Utriusque generis ex ingenti codicum numero, quos Adolfus Torstrik^ indefesso labore in Italia Gallia Hispania Britannia examinaverat,

D

meliores sunt

DE,

tamen

quidem

integriorem multo

(cf.

p.

illud p.

29,2

201,28

DE

rebus

levioribus

in

addendo, hiatu post

E

vando D, qui

p.

suo magis

347,11

momento

fidem

p. 220,1),

quam

nam

exemplaris sequitur.

omnes

Supplemento

libros vel I

F

librisque adliibitis sic dixit Schol. p.

Reg. Paris. 1908. 1907. 1906

in Enchiridio

quamquam

atque a

304,19 malam poste-

p.

quorum

scribendi,

a Torstrikio vel post eius mortem a nobis aliisque excussos in

unum conspectum

sub

paragogico

virtutis aliquid remittit, velut

memoriae consuetudiuem sequitur lemmata plene de E» infra dicetur.

in v

exeraplaris mori obtemperare maluit.

iam antea pristinae

deficit,

^

quod sane

dlXd sim. tolerando, out(o? ante consonantes ser-

oi,

^

codd.

(cf.

Hist. phil. III

1

p.

Brandis de codicibus

subieci.

321

(*):

cod.

et

Ad

schoHa

e

in

Scholiis

Oxon. Collegii Novi 244 passim coUati sunt.

222'^ etiam Venetos

1908 [P nostri conspectus], C

D vel T nostris] manu, quam certo agnosco, [simiiis

et

Collegii

= Oceanus

nonnullos contulisse se

primus codicis

D

p.

[i.

e.

B

nobis].

A = cod.

D

ignotus

C Bekkeri

cetenim fragmenta tantum modo velut lonicorum

collata est.

suis codicibus contulit Brandis.

praestantiam perspexit Victorius, qui inde selecta quaedam exemplo

suo adscripsit nunc Monaci adseiTato. moriaeaffluxitcf.

1

in

refert.

uovi Oxon. 244 [I'" nobis],

Laurentianus 85,

Eudemi ac ne ea quidem omnia cum ^

suis

SwiplicH commentariis excerpta

exemplo Simplicii Brandisiano, quod in Academia nostra servatur, distinguuntur Paris.

tamen

libratur,

sed quia religiosius etiam

librariis verti solet,

318,4 lacunosus est pariter atque

rioris

lepidum

carent.

adscriptum.

auctoritas etsi parili fere

magis quam laudi

ser-

quae a christiano homine

transcripta,

paulo praestat,^ non sokim quia doctior est

vitio

p.

u.

22,25),

(cf. p.

pleniorem memoriam ex archetypo

et

non tamen acumine quodam

n.)

Horum codicum

D

non plane a divinando abstinuit

indidem scholia sunt a

vavit.

profecta

D

melioris igitur illius exemplaris instar nobis

et E, deterior F.

cuius scriptor etsi

et

tres

fundamentum huic vohimini substruerentur,

quasi

qui

digni visi sunt

hinc Spengelii

SVSimpl. p.85,22) 21"

(243,3) ^P-*-^ (263,30.31).

(cf.

Eudemo

aliquid saltem melioris

a Victorio opinor monitus Laurentius Giacomini ex

lectiones nonnullas adscripsit suo

me-

115,25) 272» (195,3) 28* (195,10) 29

D

exemplo servato nunc iu B. Marucelliana I.L.V.

'^

varias 14.

— PRAEFATIO

VII

genuinam formam constanter servavit E, breviavit F.

quaedam

mauus D^

prioris

laeunas vel

menda

D^ (quem aegre interdum a D^

corrector

distinguas) emendavit velut p. 191,10. 162,3,

E

confectus a rudiore librario

est,

ut qui

quae commemoravi excipias) abstineret.

quoque notis E^

bic

72,11 suppleta

E^

et

iterata illa

p.

omissa

manum

p.

52,17

cuius lectiones E''

E''

20,1—30,16 itemque 35,30—44,19 E*

E«

signata, quae in suppletae particulae (E'') viciniam veneruut, ea ex

omnium optimo ducta

namque contra omnes

recte babet p. 21,21 cuva-ooer/vuTai

TT£i'paci

p.

Anaximandri

restituit

39,27 et alia eius generis leviuscula.

propago

Deterioris exemplaris

tamen multo minoris.

F

aetate codicibus

DE

(cf. p.

librarius, cui

exempla ex

55,25n.) aut Platone

Gregorius

ad emendandum

industria

ExF,

n.

elucet

videatur

tbetae

prioribus

errores

omnem

(cf. p.

depromere.

nam

coeptus

ita

est,

ut

infra

n.).

videutur.

F

classis

manum

fuisse

Gregorio

posteriores

saeculis

discrepantiam fieri

XIV

XV,

derivata

praeter levissimos typo-

subuotavi,

possit.

et

vulgaris et

ut illico

Aldini exempli editor

haud

plurima, sed non nulla nobis quoque probata.

tamen multa antiquioribus codicibus

iam codex F ex melioribus

vulgares postea

libri

libris

plerique perpetuam

quo casu delatae in codicis E exemplur simul a

licuit

passim emendari 6iopi>(o3iv

ex antiquo aliquo exemplo duae plagulae quafernionis, cui prima

deraut, nescio

ex

de reliqua Gregorii in mar-

descriptio.

exempla regnant

infeliciter

praeterea ipsius

quin etiam plura ad

304,1

editio Aldiua (a), cuius

ut pleraque ipse excogitaverit,

'

F

F^

nostrae recensionis comparatio

pauca novavit,

26,16).

citatis ut

margine exemplum alterius

erat, in

codicis

cuius cognata

libris

(cf. p.

accivit (cf. p. 56,3 n.).

556,8

p.

nomen

correctiones distinxi nota

est in

est,

neglegentius euim ex archetypo descriptum

nibus vel ex ingenio petitis vel ex scriptoribus a Simplicio Aristotele

suppar

exemplar neque solum lacunis refertum sed etiam interpolatio-

erat illius

gine

unus E*

antiquae memoriae vestigium est etiam

40,25 (^poc) cetera omittam.

pretii

idemque uuus

libros

p. 41,19 (oupavwv pro dv&pioT^cuv), ut minora velut p. 38,21. 29.

placitum

i\i

uno

sunt exemplo quod arcbetypo baud dubie anti-

quiorem sequebatur memoriam.'

illud

E

levia illa

(si

priorem a correctrice

particula primo

distinxi.

ex libro mendose scripto,

est infra

verum

signavi.

compendia scripturae velut

mira constantia confunderet, a libidine tamen

et Trapa

TTspt

lilirario

ct

passi

quarta exci-

trauscriptae esse

a

PRAEFATIO

qui ut ipse ex

F

unde

etiam Vatieauorum L^ videtur velut p. 1,19

L"

codex

ille

menter dubito. p.

numve

pauca

364,22 corrupta haec Tattp

tele versati debeutur.

cum Aldina

codici debeantur (velut p. 192,30

maxima

ttXsov Xsysiv

omittat xai

«[xexapXyjTo?

iazi xal

(cf. p.

x

tocri

et

et Aristop.

351,10,

participium

dxtvrjTOs

p.

eius cura in redintegrandis lemmatis

"Kiîov

414,3, ubi fuit,

eum non

quae

potuisse

ceterum harum lectionum quidquid non plane

inf.).

videbatur, in adnotatione commemoravi.

futtile

Ad horum

igitur librorum

fidem Simplicii verba edidimus paucissimis

ut institutum ferebat ex coniectura novatis.

quam normae a

variare

illis

ille

exhibeat, haec saltem ex antiquo codice petere

manifestum

num

av ti? ivtsaixo pro veris oGto)? [xb av ti?

S'

similiter correxit

restituebat.

videatur nota.

cum plena

im

inf.

petierit vehe-

manifesto iuterpolatorem deprehendimus

in his xai

114

petiisse se dicit.

(?)

omnes inde

plurima tamen ingenio eius haud male in Platone

l^yjYTâatTo),

ubi

lectiones

Q

Ambrosiano

codici

ex codice anni mcxlv

ut

prooemio

in

3,5 sqq.

'ETrioiop&warsis

fuerit

immo

variae lectionis

p. xviii.

cf.

L'" L'^ aliquis coniecturas nonnuUas praeivisse

sufjnrspaivoixlvyjv et p.

inscriptae, quas scriba

antiquus

valide hausit

illa

Eiusdem farinae sunt

Ambrosiani

commodum

descriptus est, ita Aldinae

praebuit,

tliesaurum

Emendator

codicem P,

cuius generis velut exemplar iufra pluribus deseripsi

simt.

nostris

si in

his rebus

nobis fictae constare maluimus.

obtemperamus (quod

sedulitati ac peritiae debetur),

quoque cum

in orthographicis

ceterum

libris

ut possim H. Vitellii qui contulit

non numquam rationem quandam observare

licet haucl

dubie inde ab ipso scriptore propagatam velut usum tt fere con-

stantem.^

in aliis variant velut in o£ ouoe dlXd ante vocales aut eliden-

dis aut perscribendis

itemque in

ante consonantes poneudis.

praecipue in Aristoteleis. bunt,

quod tamen

v

paragogico TauTov towutov

saepe vel in versibus vocales superfluas perscri-

imitari nolui.

dissentientibus

consentientes secutus sum, in ea parte ubi soli ratius in hisce scriptum praetuli.

nostris nos legibus, erat.

1

quam

outo)? [xs/pt?

praevalet tamen haud obscure pleuior forma

libris,

EF

DE

ineptis

DF

aut

EF

F

ut accu-

nondum

additos

oppositi sunt,

accentus a Simplicio

non Byzantinorum saepe

aut

apponere consentaneum

itaque perpetua ista Tao? esTavat osixvuvai ne in adnotatione quidem

ne hic quidem, ubi de consuetudine Simplicii dubitari nullo modo potest, quidnam si quid contrarii moris per so scribendi apparuerat, Alexandrea tradi

aequavi.

aut aperto aut celato nomine saepe observavi.

constantiam servavi, quia

librarii in siglo

5

in solo

numero x^TTapes etiam contra codices

explicaudo ex arbitrio variant.

PRAEFATIO

DC

me

comparent. praeterea semel moneo constanter

Byzantinorum formis

psisse

saeculo huius

partis

libri

non

superiores,

sint

istam barbariem in culto scriptore ferre

neque vero dubitavi

(sed Ts&vyjxa)

(sed

fjLijxvTfjcjxeiv

fj.vrj(3at),

nam

Cîov

qua

Ovrîaxsiv

atoiCstv

antiquus

\iom'/r^\.

Tzrî

sixtj

-Kf^

est omissa iota

eiusdem

alia

li-om-zj^

non omni sum codicum auxilio

alterius

Simplicii

cum nemo

itaque

'

C«jov otpCeiv (sed auisai) Ovifiaxeiv

tum

in re

ille

est.

nostrum

velit,

quoque

illa

generis postliminio reducere. destitutus.

cum duodecimo

neque adscriptum

iota

neque subscriptum usquam apparere non mirum

restituere.

ysvyjto? et YsvvrjTixo? scri-

yoVvtjto? et ysvyjTixo? neglectis.

A

codex

partis

praebet et

Categoriarum codex pervetustus

sed satis de his minutiis.

Marc. 224.

In fragmentis philosophorum recensendis non id egi ut ad scriptorum

quam proxime accederem verba

ipsorum

scriptoribus

non nuUos

quam

accurate repraesentare studui,

qua ex re

lisse videtur.

noli mirari, in

cum

servarunt

eius

generis

Simplicius in commentaria sua rettu-

homo

minus peritus videbitur,

ille

et

optimus interpres Alexander

dialectum lonicorum paucis verefingendaene

librarii.

formae tamquam a Byzantinis

in

eam tantum modo formam

sed

grammaticae

pueriliter erraverit.

non

relictis

si

doctioris saeculi

hac saepe arte

stigiis

video)",

fecisse

adulteratae?

manum

non

antiquae

igitur

equidem ne-

refinxi

que

si

nam

multo ante Simplicium medici Hippocrati lada^, mathematici Archi-

medi

quis

tyjv

cpiXyjv

defeusor

aetatem

aliis,

xal

Atoptoa

Simplicii

restituturum

esse

[Eutocius in Archim. III 154,9 ed. Heib.]

quatenus constaret sensus, Hippocratea concessit exaaTu)

XE-ysiv

[XVH

philosophorum

paucos

crediderim.

ionice

iam

similiter

1, 798].

vel

dorice

av

«j?

ante

eiiik-q

Simplicii

conscriptos

libros,

tum lectitabantur *, ad vulgarem loquendi usum levigatos magistri

qui

>

similibusque nescio quo pacto subscriptura cst hic

in I^Tjprjijivo;

illic,

E. contrarium hoc est Monuracnti Ancyrani raori cxtreraura iota servantis,

numquara ^

in

exuere

quod Galenus tenacissimus ipse antiquae memoriae

quid?

conati sunt.

-j^pacpsiv

refinget

hoc

anirao

omittentis, officiura

est

cf.

est ei qui

edendos ipsos scriptores

Artemidorus Capito Hippocratis editionem paravcrat

tam, in qua cousulto forraas ionicas ad vulfiarera aequalis Dioscorides *

sibi proponit.

velut nobis

Philosophorum ante Socratem reliquias rocensere, quam syllogen eos ex-

spectare iuberaus, quibus nostra adnotatio consulto brcvior '

maxiine in

raedium nou

3,5 p. Lxxi ed. Moraras.

explendum

cf.

Galeni

XVII

Pythaporeorum qui ferebautur

1,

798. 795.

21.

satisfecerit.

vel Iladriano

auviîletav

XV

libri in circulis

a Stobaeo, sed a scholis fere remoti erant.

non

quod

dcflexorat

IIO. 359.

anaqôrum philosophorura

quod

(id

XIX

raireris

accep-

sirailiterquo

83

ed.

eius

Kuehu.

quibusdara studiosc legebantur velut

'

PRAEFATIO discipulis tradebant,

quo

facilius in ipsas sententias penetrarent.

Archytae

quidem personati fragmentum eodem modo castigatum ac vel eisdem

fere

dialecti reliquiis relictis in Physicis et in Categoriis Simplicii apponitur,

nempe lamblicho, translatum

ut aliunde,

dialecti vestigia conservanda, nihil ultra

omnia

itaque

corrigendum censeo.

luxta Phjsicos antiquos Eudemi maximi facienda sunt fragmenta, quae

Eudemus

cum

L. Spengel primus editor

non

emendare noUet, aliquantum librorum ope,

profecimus pleniorem relicturi messem posterorum

nihil coniectura ipsi

felicitati. Hippocrates

esse appareat.

gratissimum tamen emolumentum accessit H. Useneri benevolentia.

qui

cum Hippocrati Chio geometrae

ex

Eudemo

magnum fragmentum

nobilissimo, cuius

olim operam dedisset, ad

servavit Simplicius p. 60, 22 sqq.,

nostros iam codices denuo eius demonstrationes examinavit et emendavit.

qua

in re

non solum Eudemea a Simplicianis

constructiones ab

Eudemo

certius distinguere, sed etiam

praeteritas ipse supplere conatus est.

servationum alias aduotationibus adieci alias iu Supplemento

idem autem postea quam P. Tannery Havrensis cum

tum Hippocrati insignem curam adhibere

graecis

cuius ob-

II

excerpsi.

mathematicis

aliis

coepit, illum

quoque

plagulis quae interim prelum subierant raissis ut suas adiceret observatio-

nes rogavit.

qui petenti humanissime

satisfecit et

ipse quoque ut sym-

bolam suam Appendici Hippocrateae adderem benigne

concessit.

Platonis locos sedulo investigavi et addita vulgarium

piato

discrepantia subnotavi.

magna

est spes

citato emersit (XTj

si

quidem nunc primum

iam qui aut

aliter

sed ne hic

recte ex Platone ab

Parmenidis conclamatissimus versus ou

eovxa, ut tacituri sint

et Aristotele

exemplorum

praestantia non

meliorem ex Simplicio expiscandi memoriam.

quidem neglegendus,

eTvat

cognita Platonicorum codicum

[xVjuoxe

",'ap

emendandum

xouxo

illo

oajxxi

aut a Platone

corrupta antiquitus lecta esse exempla autumaverant.

Theophrasti fragmenta, de quibus in Doxographis meis satis dictum Aristoteics

Stratonis

est,

aliorum nunc praetereo.

restat

enim Aristoteles

ipse,

cuius verba aut in lemmatis aut in commentariis plurima afferuntur.

ac

lemmata (non semper accurate ad commentarii cuiusque spatium dimensa, quod cave

librariis tribuas)

ea ratione exhibui, qua meliores utriusque

partis libri (itemque Categoriarum) scribere solent. librariis

'

repetendus est

mos prima

ne quis corriiptara Platonis

Simplicio opinetur,

moneo etiam

et

extrema

memoriam ex

alios

ipsius

nam

prÔEU)?

a Simplicio, non a

verba interiecto

£a>?

exemplo Parmenidis correctam a

Parmenidis versus diversa constauter forma

prout ex Platone aut ex ipso Parmenide a Simplicio citentur.

citari

PRAEFATIO TO!j!

praefigere commentariis.

in

XI

recentioribus libris et

inde in Aldina

lemmata non solum ampliata sed etiam interpolata sunt ex vulgaribus Aristotelis editionibus.

unde

constitit

utebantur, lemmatis nullam esse

meliore patefacta memoria.

adbuc

babendam

viris doctis, qui

fidem.

commentariis

quod nunc secus

ipsius interpretis verba

plicandum tum ad emendandum scriptorem adsciri coepta sunt. stant etiam

nunc multae lectiones sive neglectae

obscuratae, quae accurate conferre erit.

cum

est

pridem cum ad ex-

sive prava olim

sed re-

memoria

reliquo apparatu operae pretium

sed boc, ne buius praefationis angustias transgrediamur , peculiari

propediem scriptione demonstrabimus. Scr. Berolini

Kal. Mart.

MDCCCLXXXII

H. Diels.

SUPPLEMENTUM PRAEFATIONIS CONSPECTUS LIBRORUM MANU SCRIPTORUM ET IMPRESSORUM

I

A B

Marcianus 226 posteriores

libros continet

supra

cf.

p. v.

—

Laurentianus LXXXV 1 [Bandini III 236 247], qui propter ambitum Oceanus nomiuatur, maxima forma bombycinus 762 s. XIV ineuntis scriptura minuta secl perspicua scriptus Pbysica Simplicii omnes continet libros usque ad f. 292'' Ald., tum 648. habet a f. 544 Pbiloponi zU xb irdXoniov xrp cpuctxrj? dxpoacjiaj?. consentit in boc ut in

—

—

est foliorum

—

tam plane cum F,

ceteris

ex lectione F

"o

F

sed extant

ortum.

o-ct

velut p. 2, 16

moriam exbibeat recte

e.

i.

ut ex boc descriptum putes velut p. 119,11 xh

aut p. 23, 22 ex oa[iou, ubi

7:ap£iX7j[x[iEva)v

Pbilopono autem consensio est plana, ut H.

in

£;a|xuou.

ubi melioris classis me-

loci,

B

Pbiloponi futurus editor observavit. itaque exemplar quo scriptum, sed

emendatum

ex altera classe veri p. 1,

om.

II

om.

II

4

8

auToij

II

aeXiQVT]

Totv

II

Toiv Ilepl]

j|

8 t6 (post (ante

tcjj)

om.

22

om. Tfi

Tiepl

II

19

vovtxov Tc

II

32

Tot

om.

yap

^j]

F]

(xtjOcv

om.

om.

II

||

21 Sv om.

lac. rel.

j|

Yevr^Ttx6v ut

||

iTi^petatv

9 TipcoTov

||

5 tou t6] touto

add. elvat ||

14 ||

?v]

||

-^v

28

F

||

6

i|

25 om.

uTt'

om.

xal t6 xaTa

fj.lv

35

<\>'r/rii

||

||

xat om. ||

||

14

||

Iv a(Ttu)

Ixcivot;

om.

Tijji

||

11 OTt] t6

e. s.

29

||

abzo

\\

6

fj.eT

(cf.

F

cprjatv

Tiptorjv

29 outio;

||

— t6

12

||

ceteri libri

trptoTOt;]

dXiyov o)

t6 om.

1

10 TaT; add. B^

||

15 Tou-tov] tou tujv

||

||

p, 2,

||

alt.

ttjv

tou (post 81)

ov (8)

tb;] tiuj;

||

|(

om.

t(ov

||

||

||

||

—

om. 13

||

||

tb;

ou8i

17 auyyujpTâet in auyytopViaot corr. [auyytopTiaet in

24 XcyeTai

—

26

||

8'

5

||

24 aY^vvTjTOv ut

||

p. 118j 27 CJ-c/iapTiooi ||

18 8e xav] in lacuna av

i|

31 xal

om.

||

8e

t')

tiov Te

tuj Te]

||

16 xav auveye; om.

||

9 TauTo

otjXov TreTrotVjxev ei-wv] cpTât

9 post

||

||

||

de-

et Vitellio.

13 Te om.

cpuaioXoYtxov

||

F

1,16 aut

p.

dxpoaasco;

tpuatxî

ttj;

8 cpuatoXoytxoO t6

||

31 tujv om. zi

(ante XtJyo;) ||

22

ib; (post outc)

||

lac.

iioXayoi;

li

II

6

||

ot

11 Tac? alterum] toT;

||

16 xa-aYetvofjievrjv sic

|i

ceteri libri

||

om.

corr.

(SOfY}op-iiaoi II

rcpl

p. 119, 3

Tiav)

om, in

corr.

21 a^Tos 6

TTJc

oi8ev om.

lac.

Tievdfxevo;

6 eyetv t^; uXtj;

||

25 Teaadptov ut

||.

Yotp

ex

di t6

otSaaxotXou

fieyaXou

at[j.7rXtxt'o'j

XeyofjLSvos con".

cf.

specimina debentur Torstrikio

simile.

15 TeXetuiv B': TcXctoOv B-

opuiat

15

1

esse praecipue initio aut ex ingenio

Vitelli

ex

nititur

p.

||

19 Xeuxuiv] Xc

||

25 Ta om.

120,2 Ta om.

cb; Iv dpyTJ

wv ii

Tt

Tt;]

||

auToO

Itt'

||

p. 792, 24

ycxp ||

2

|]

3

i|

om.

21

||

om.

8t(i

toO

26 auTuiv ||

cSiXXot;

yc] tc ||

eToo;] cl

ciXT]9u);

fjiev

15 ^8o'xouv

in lac. om.

p. 793,1 undpêt

26

||

8

||

18

to't£ [j.ev

27 t6 xa-

||

||

B' sed

||

31 auvcy^;

5 toXXcc

||

7 iiiK-

CONSPECTUS LIBRORUM MANU SCRIPTORUM Xov

9 oeuTEpov]

II

22 l/ov

24

II

pTjYouvTos

P'

II

ouToc om.

II

11 oe xal

12 apa

||

d in exitu versiculi

dTTo]

Tov cpuatxov

II

||

29

II

13

||

dcpo'piaTat

m

UTO(xvT^fjiaTa

om.

-/al

18 o^Xov

||

— ovtujv om.

xuiv

||

m.^

uiTO(xvT][xdTiov corr.

',

32 TauTr]s

jj

xiii

33 mitl

||

||

^to-

ex

alia

\\

adnotavi ad Theophrasti fragmenta Phys. Opin. in Doxographis p. 475 sqq.

||

28

1.

I

III libri ex-

||

trema lacerata plane omisit.

RiccARDiANus 18 chartaceus forma maxima

margine primae paginae

seribitur in inferiore

XV

s.

priores libros habet, posteriores Riccardiani 19 et 20. scriptus

men

f. l'' (3i[XTrXixtou

oioaaxaXou

[iz-âXoo

unde conicere

misit H. Vitelli,

xa

st?

cui in-

rubro

titulus extat

eum

C

quattuor

speci-

xrj? cpuaixTj? axpoa^ssa)?.

descriptum

licet

XVI,

sive

de Salviatis.

lo. Car.

esse ex B, cuius ov

unum exemplum

rei

ou et

e.

(i.

bendo

Seixvuooaiv (sic).

Ir

f.

(post

non repetitum ponam p. 799, 20, ubi B Setxvuaiv accentus ex corr.) exhibet. quod imitatur scriptor libri C scriinfra

om.

10 opexTixou

II

t6 8e -^^{0(5X1X0^ TeXo? e^ôv

h

d/wptaTOv e/ouaav

ex dXXa)

(corr.

II

19 tuj

||

2 t6 û)ptaT6v

17 xe om.

22 om.

27

II

8e

Trept

Te

yT\z

sic

Xov

28

7rp6s

II

II

32

||

yevTjToiv

yevtjtix^v

5 TToXXd

II

Toiv

—

6'vTU)v

om.

||

||

22

29

||

||

17 ante e^ûjv ||

24

||

dTro

ras.

ttjv)

16

35

||

Ixeivot?

6

iteravit

suppl.

||

Trepl

p. 793, 1

||

13

||

e(s]

e{,

corr. m.-

32 TauTT]s

||

||

||

33

||

j|

26

Tcp

||

30

sq.

uTrdpêt

dcpo'piaTat ||

18

||

||

||

of)-

UTrofxvTjfxaTa TroteT

||

||

31 auve-

||

xai det Ta 6'vTa del.

dfxa

29 xat om.

dptaTOTeXTji;

Te

ye]

12 dpa

||

om.

7iapetX7]fjLfXEva

tujv te dTto

||

dXXd

||

dp-/aT;

||

21

||

24 ydp om.

11 Se xal

||

||

xa&o'Xou

||

uXtjs

ttjc

scr. ||

25 Teaadpujv

||

||

^'

m.'''

||

e^êtv

(pro irpujTot?) cipTjTat toT?

dp^T^TOU

eaTrjXo'?

t6v cpuatx6v

toTv

||

TrpcoTjv

9 oeuTepov]

6

||

15 aTotê^wv t6v

||

ttjv

13 te om.

Xeyouatv ante correct.

5 Soxet

||

p, 1, 5

||

||

17 cpuotoXoYixov (mrg. ûatxov)

a^Tos ofxoXoYeT

dy^vvTjTOv

792,22

p.

P*2jl

II

||

12 Tipd^tv

||

10 Ta (ante TaT?) sup.

||

(19 xal

||

24

||

^"-'X^''

34 Ixetvou] ou in

||

ouTos om.

II

||

7 fxeXXov

(om. t6) Ixeivou

-/ujpTjYouvTos

fxev

22

14 Teaadpwv

||

habet)

r^

Ttept

16 xaTaTetvopievTjv

9 xa96

ante corr. in ras.

yevTjTcJv

(om. twv)

2 otXXotc

15

(18 xaSdXou

||

TrpayfjiaTetas cpTjat:

dxpodaeios rubro

cpuatXTJ;

4 SpwatJI auTOU (|

13 SiaXeyopievou ante correctionem

jj

||

||

8 cpuatoXoytxou t6

||

tgc ttjs

11 opeêat toTs auvepyouvTt

||

15 TeXetouv

||

(mrg. ouaa)

TouTotc ouv

otoaaxdXou di

jxeydXou

aifXTcXtxfou

6'Xt]v)

||

35 t^c

add. in mrg. m.^

Laurentianus

LXXXV

2 [Baudini III 247]

saeculo XII ineuuti ut Torstrikio,

madore H.

situ

et

valde corruptus,

Vitelli, qui locos

concludatur.

ut difficilis

cf.

229 [Zanetti

supra I

s.

sit

maxima

XIII

libros

ultima pagina legi nequit et desunt pauca. cf.

lectu.

contulit

totum

[sec.

exeuntis

contiuens. contulit

Zanettium minore] Torstrikio

iudice

prooemium

deest,

totum H.

Vitelli.

E

de

p. vi sq.

Marcianus 227 [Zanetti I 118] forma maxima [minore sec. Zan.J bombycinus, s. XIII Torstrikio auctore [s. XII Zan.] omnes octo libros lemmata vel atro vel caeruleo vel rubro atrameuto scripta. continens. scholia Aristoteleis circumscripta, sed in libris VII et VIII continua post

exitum

D

p. visq.

118] forma

bombycinus [sec. Zan. chartaceus], [s. XII sec. Zan.] quattuor priores ceteris

quadratus membraneus

XIII ut Bandinio visum exaratus.

evauidos accurate designavit, ne quid ex silentio falso

de ceteris

]\Iarcianus

s.

libri

addita sunt.

cum

in

exemplari uude

F

eiusque similes ducti

F

SCPPLEMENTUM PRAEFATIONIS

XIV

sunt Simplicii pars extrema periisset, in eius vieem Philoponus adscitus

unde

est,

mire

satis

xou

cpiXoirovou

Ss [xaXXov

Ti

Philoponi

[F zptoTov]

iTriXoiTcov

ttj?

cpuaixTJ?

ultimum Simplicii lemma est Ev oXtj? xivt^sso)? (f. 292 24), primum

TToXXa ioi; xou hzoLi dp-/7i xr^;

"^

xouSs oxi avaYxrj sTvat

sx

xo

si?

itoocvvoo

fragmentum.

ctxpoaaeco? inscribi solet illud

£v

cpavspov

ok

xivouv.

Philoponum excipiunt scholia

xal

xi

xo Trpcoto)?

cztSiov

eadem quae ex Marc.

219 excerpsi, quorum initium o Xv^ti suvTofito? touto ssti xtX, librarius codicis fuit Georgius quidam monachus, qui in margine saepe vel demissas vel ironicas vel impudentes fudit adnotatiunculas velut XpiSTs poij&si T(o aSi oouXco •('stopYico ubi de circuli quadratura agitur vel tbpatov ironice dictum vel cpXuapeTc evTau&a

xuva (sic)

manus prima prorsus a prima diversa.

F

p. 114j24

29

11

loca

II

—

£10?

littera rubricatori relicta) Stjixos

16 auvdyEtv

II

erasae

TauTC)

||

||

||

25

om.,

au|i.7T£pafv£Tai

30 ExdTEpws 17

||

oi)S'

sic

examinato Philoponi

||

20

Simplicii

F'^

cf.

||

114,23

p.

26

iam

Se

p. 115)3 ippTJ&r) sic ex

||

d

^]

s.

XV.

postea aliunde correxit manus

F.

si? t6 sTrrXoiTrov

dubio descriptum existimat, neque ego dubito

sine

secundum ea quae praesto sunt collata; unde specimen propono dx.

t6v

jjitouasog.

forma maxima membraneus

cum

et Vitelli diligentius

fragmento G' ex

268 •

f.

|

117]

I

consentit

ad

lajxpiCet

cpaaxovTa [xu&ou? tou? X()you?

aitjL-Xtxiov toSs (sic) [xoi axoTrsi

Marcianus 219 [Zanetti

G'

acerbius

sifiTrXtxis,

||

xal

£lvai]

||

6 tota

a

Vitellio

27 xai to

[]

10 euS^Ts (prima

||

15 outcos * oacpu)? (littera ante aacpw? erasa)

||

6 (post xat)

civaîoTctaTois

sil.

— 117,5

m\

tum

om.

||

23 outcd

oe

Stj

||

24 post

Iv

||

duae

m^, sed in mrg. rursus

av, dStoTriaTots

£u-

6

litterae

dva-

75,

^tOTTlOTOt;.

idem Marcianus 219 habet quae numeris d

—

f.

350' ut

magis magisque Simpliciana inde a auvTotxto; TouTo saTi Tou

OTav

Marcianus 220 [Zanetti s.

XV.

I

117] forma

nihil continet nisi

cetera ex Philopono suppleta.

[xsiCova

Osk

TrpoTSpov,

£ui)u? £V 7:pOOl[XlOt; XE*YO[X£vto

Tj

Tj

Ssi

Tov

7]

Traprjxs ttjV

[XStCtOV

sTTsl

[cf.

[1.

Tispa?]* tou os

auvosa^xov

et

Pilop. î'^^^]: oti tou auXXoyia^xou

OlOTTSp

«xcp£X£tv

xat

xsiTai ouv

Tva aacpsaTEpOV £7riaTrjaa)[X£V TfO

ouTtog Tots

t6

pr]T6v

r^

dvaYvaivat*

[xeOooou; tov siatv dpjcd

ouTto Yotp aacplaTEpov

ouTtos' irEpt Tudaa? Ta? [xeOoSou? twv EtVtv dp)(at

Marciani

Zan.] char-

quattuor posteriores libros,

sXa^TTOva xat t6 au[XTrEpaa[xa.

TTpOTaai?.

aTot^sTa Ix tou TauTa 'cvtopiCEtv.

xai t6 ETTtaTaaBai

"'"

Xs^ysi

suae quoque fabricae scholia ditasse Philo-

EiSsvai xai t6 ETctaTaaOat au[xpatv£i TTEpt 7Ta'aa?

oXx\a

incipiunt 8

maxima [quadrata

prologum

poneis videtur, quorum hoc initium T7]v

300^25 adsumunt.

f.

sed de his in altero volumine Simplicii Physicorum dicetur.

czp^^T^.

taceus

Philoponum tum

[xsaou TTOTs [xsv 8uva'[xst Xa[xpavo[X£vou, ttots os Ivspysia.

eaTi "yap t6 auT6 tou }xev TcpoTspou ^[xiau

ouo k6'(ooz dva8sj(STai.

G"

scholia miscella post

svspysta Xa[x,3a'vYjTai xat oiaipyj tyjv Ypa[X[xrjv, tots Tto uTcoxsi[xsvfo sv ov,

[xsv

sTspou

F

signata primo propria pleraque habent,

fi(>

ai.Tta

7]

r^

t6 r^

xai)a irpoTEpov.

aToijÊia t6 £io£vat

xtX.

Cl.

Simplicii complexi

IV cod. 14. 15. 16. 17. 18 omnes s. XV nomine tenus mihi noti. neglexit eos

scripti

Physica

Torstrik.

CONSPECTUS LIBRORUM MANU SCRIPTORUM

E 4

Ambrosianus

forma maxima plerumque chartaeeus

inf.

lacunosum finem

libros I II III continet, cuius

F

XV. H'

s.

omittit in lioc ut in ceteris

simillimus. p. 1, 5

alterum om.

T7]v

p. 2, 4 voouct] ouTu)

Tov

5.

e.

opuiai

6

[1

17 6 om.

II

Tuiv] TTjv

II

26

II

13 ts om.

||

lêtv

tyj;

18 -/«96

||

om.

T(i5

Doxographorum

alia vide

I

xv

}]

16 /aTaTStvoij.EvrjV

|[

^\ri<;

21 «ut^c 6

\\

27 yEvvrjTd

II

cpuatoXoYtxov

||

8 (pustoXoYr/.ou t6

||

29

i|

23

||

(j.ev

16

||

'li'^yriv

\\

||

iaTi)

(oin.

tioTov

Tuiv Tiept] t^s Trepl tou]

22

||

7rapitX7][i.iji£va

24 dydvvrp

||

31 Toiv om.

||

||

473 sqq.

p.

Ambrosianus C 232, rectius 271 inf., forma maxima cliartaceus eum totum habet. specimen non dedit Torstriii.

XV. H"

s.

librum neque

A

Ambrosianus

64 sup. forma maxima membraneus

excerpta

XIII.

s.

H"'

homiue iuepte confecta, ut confereudum illud cum Simplicii

continet ex Simplicii Physicis a Byzantino

exemphim

Torstrikio videtur. p. 182,

9sqq.:

oxi 07]

xal TTpfoxa"

descripsit

xa Ysvuwxaxa.

TrptoTa os svavxia Xi'(ui

oux e$ dXXv^Xtov Ss oxi

sequitur obscura)"

âp sx Xsuxoui x6 [xsXav

Xs-yojxsv

Yipsxat £$ dXXr^Xtov xd svavxta, oTrsp xupKoxspov

akXa

d'XXrjXa.

yaXxou

XsYoiJLev

sx

Odxepov

[j-exd

^dp auxd

sTttov

ttu)?

sTtisv]

[1.

x6v

71^5^1)^1

xou cpuXdxxsiv

oxi

dTcdvx(ov

xou

xujôvxo?.

ou

.

dXX'

.

STcetor]

-(ap ijlsx'

xd svavxta,

uTCOjxevovxo?

(o?

yap

(o?

Oaxepotj osi

[tev

acpoopa auxo&ev YVôpi^xov xo

[xyj

rTmov

dvi)p(07:o?

Xr|Tcxsov

Tipaixov

ovj

ouxs 7:dayziv x6 xu}(6v 67:6

TTScpuxsv

Ttotstv

TTscpuxsv

TTOisTv

"(dp

[xsv

otxetav cpuatv ysvvojv (?) x6 svavxtov.

ouosv ouxe

ovx(ov

x(ov

.

dXX7]X(ov

s^

ouxa>

-((veaâi.

^dp

ou

jxev

(vox una

dv s^ dXXi^Xtov, dXXd

aux6 [xtxpov dvcoDev dp^d[isvot.

e7ri(3xs^(o[xe&a

aXXtov

s^

os 0(oC6[ieva st; dXXrjXa [xexapdXXot auvuTtdpyoi

ei

dv xd evavxta or.ep d^xy^/avov X£-|'6[xsvov,

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xrjv

dp/ds.

(3(oCs(5i)at (o?

siTrot

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[jly]

oux

xat svavxta xal fiyjosv

Srj

ouxe

Tiscpuxev

Tzdays.iv

dSdfxa? 07:6 aior|pou.

Q

Ambrosianus

114

codex miscelhis

inf.

s.

XV. XVI.

variarum

iuest

lectionum acervus, quae ex vetusto codice transcriptae feruntur.

enim

bitur

ek

'E^riStop&toastg

subscribitur ex codice

Pawlowsky Polonus,

XV

TtXixioti

[xe^dXou

(f.

cum

DE

p. 23, II

Usqq.

II

e^r^Yvjats

ets

20 ToO om.

sic

20 voou]

II

||

xal]

28

otacpEpsi

.')

x6

Trpoixov

xrj?

f.

'Aptaxoxe^Xou? 9.

1

ai[x-

cpuatxYJj

suppletum

liber melioris classis etiam in vitiis

propior) facit, neciue tamen ex alterutro descriptus vi-

— 69,34 viit

|i

21

29 TiapaoeooTai] rapaoôtoxe

HpcxxXetTos

forma maxima char-

355^) in auxat os oiacpopat xottou p. 524,

omittit p. 56, 16

detur.

sil.

D

(sed

variis his lectionibus sive

quarti initium complexus.

et

ex Themistii quarto Physicorum.

est

ex

cpiXoaocpou

desinit

dxpodasojs.

kiri^râiv,

Tui amanltssimns loannes

Bibl. Bodl. I 264]

priores

tres

libri

de

at[x7rXixtou

Tiapd ||

Ambrosiam

iuscri-

viii.

Baroccianus 152 [Coxe Cat. s.

MCXLV.

Patavii scr. eYpa-ê.

potius coniecturis dixi p.

taceus

Ouatxd xou

xd

elq

x/jv

D. P. circiter

I.

''"^'"'•'"""

29

|j

9 sTt

ut

ttjv ||

codex T. sic

||

22

U

31 xal t(o sic 51

xtX.

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cum

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380] mihi innotuit. chartaceus

[II

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codex

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—

CONSPECTUS LIBRORUM JIANU SCRIPTORUM p. 1,

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p.381*7Br.

cf.

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Parisinus 1908 olim Mediceus

[Catalogus Mss. Paris. II 417] char-

MDCXLIV

maxima anno

Patavii exaratus. ex eis quae ad calcem leguntur patet verba Aristotelis manu Pallantis Strozae, Simcontinet libros I II III plicii scholia manu loannis Argyropuli scripta esse. (Parisini 1909 librum IV et 1906 V VI VII VIII complexi eiusdem sunt

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f.

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manus P*

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Parisinus 1907 [Catalogus

maiore chartaceus

XV

s.

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Par. II 417] olim Colbertinus, forma

IVIss.

exeuntis, quartum solum librum continens ne-

que eum integrum. nam ante commentarium de xonu) hiat. tum nitidior nuUius pretii iudicavit Torstrik, qui tamen specimen continuat manus. non dedit. ex conlatis ab A. Schoeneo p. 795, 35 sqq. veri simillimum

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ex

est

electa

descriptum esse varia simul lectione, quae

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m.^

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1

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7 ouSe, in mrg. 6 8e m.^

II

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Parisinus 1947.

Excerpta ex Simplicio, quorum specimen extat in

S

Brandisii Scholiis p. 362^^47.

maxima s. XV vel XVI T Aristotelis primum librum.

Matritensis Bibliothecae nationalis 35 forma diligentissime

scriptus

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10 £100? xal

xal

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xal ro7:£paa}X£vr,v xai cxxivtjtov Trapixsvior^? eXsyEV

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Tpia oe ta auvaixia ttjv

tum excerpuntur

ex Philopono p. 25^31 sqq. excerptum. extrema sunt 5'' 54). sequuntur Aristotelis Physica, de

xtX.

^cvocpavr^?

zapaosqfxa) xai xo xsXoc,

[ubi p. 17

scholion eiusdem rei

(1.

to

xxi

supra K".

Aldinum exemplum

(cf. p. vii),

forma maxima, titulum habet:

ZlMnAIKIOY YnOMXIIMATA EIZ TA OKTH APIZTOTEylOYZ 'PYZIKIIZ AKPOAZEP^Z BIBAIA META TOY YnOKEIMENOY TOY APIZTOTEAOYZ. SIMPLICII C021MENTARII IN OCTO ARISTOTELIS PHYSICAE AVSCVLTATIONIS LIBROS CVM IPSO ARISTOTELIS TEXTV. tum ancora Aldina appicta, deinde subscriptum est:

iVe quis alius

impune, aut Venetiis, aut

usquam locorum hos Simplicii Commentarios impritnat, et Clementis VII. Pont. Max. et Senatus Veneti decreto cautum est. Clementis VII Papae venia

m

epistula est Francisei Asulani XXII Aug. MDXXVI. p. subscribitur f. 322 " Venetiis Gonzagam Mantuanum. Herculem antistitem ad Aldi, et Andreae soceri Mensae in Aedibus Asulani (!) Octobri M.D.XXVI,

data est die

denique

f.

ultimo (322^) Aldi ancora.

Versiones latinas vidi tres Simplicii Peripatetici acutissimi

I telis

Numquam

de Physico auditu.

Commentaria in ocio

antea excusa.

libros Aristo-

Lucillo Philaltheo inier-

i5M. forma maxima, Herculi Gonzagae cardinali dedicata. stolidae ambages et male intellecta multa. scholia margini adscripta parum utilia et ad finem rarescentia. specimen erit Simplicii p. 23, 21—33 Parisiis

prete.

quae non

intellegit interpres omittit.

CcBterum eorum qui aiunt vnum esse principium

et

mohile, quos

f.

etiam proprie naturales vocat, alii ipsum Jinitum esse assenliunt, ut

fuerunt Thales Milesius

Epicurus cianus

et

Lu

deos es

se negarunt, vi

de

de

morte

vita

et

lihellum.

qui

deum

aquam

ducti

arida

et

et

pahulo

humidce

terea,

primus

fertur

turaconscripsit.

cum

cunctos

alij veteres

et

longe

ipse

qui

ipsum

ab

est.

sit

na-

f.

\

5r |

edidit ac patefecit.

ceu

gracis

Equidem

Theophrasto

tanquam ipsius

nullum sciticet

reliquisse.

Prceterea

traditur

Ih

latuerit

prceter illam astrologiam, quce naualis

disciplina de ipsis nauibus

10

Pra-

ac collocatam esse tradi-

dissensit euariauitque

prcecessere.

monumentum scriptum latur, posteris

aqua

esse arbitrati sunt.

maioresque natu cssent,

illis

h

sunt prius

humidi plenum.

ilaque

Thales fuisse primus qui

autem

commentationem historiamque de natura multi

Cum

omnium principium

histoiiam de na

videtur,

interitura

cunctarum rerum prolem atque coniunctionem prorsus

terram sub aqua iacere sitamque

derunt.

Etenim calor humido

est succi et

eo ali nutririque apta sunt. et

conferat, idcirco ipsam

Thales

quce

et

omne alimentum

cibus, sive

Vnde singula

vitce viuit,

Item semen omnium genitale humidum

sicca evadunt.

Rursus omnis

turcB

coniectura eorum quce sensu apparent de-

ac statuere principium.

dixere

veluti vehiculo,

Hippo, qui videtur fuisse eorum unus

et

esse negabant,

per tnaria euehendis ducendisque appel20

4^

jnf.

SUPPLEMENTUxM PRAEFATIONIS

XXII

commentarii in octo

Simplicii

II

Physicae auscuUationis

Aristotelis

Noua ac omnium quae in hoc opere notatu digna continentur: quae etiam in margine ad studiosorum utilitatem collocavimus : cum eiusdem auctoris uita nunc primum in Venetiis apud lantas MDLI. forma maxima, dedicata est lucem edita. cum

libros

contextu a Gentiano Herveto Aurelio

Aristotelis

ipso

Huc

fideli interpretatione donati.

accessit index copiosissimus,

haec versio Francisco Turiioiiio Sabinensi episcopo, S. R. E. cardinali epistulam dedicatoriam sequitur Vita Simplicii qua Suidae

amplissimo.

Agathiaeque memoria repetita fusius christianum eum non fuisse demonstrat. addit „non esse ex eius libris petendam pietatem ac religionem, sed philosophiae cognitionem, qua omnes Aristotelis interpretes, meo quidem longo interuallo superamt.

iudicio,

Aristotelem certe ita est interpretatus,

nemo plures ex veteribus, quoties id ad rem pertinuisse nisum est, citamrit: nemo Aristotelis verba ac sententiam accuratius examinarit: nemo, si quid ei deesse visum est, ut nihil est omni ex parte perfectum, id et diligentius et doctius siippleuerit ." extremum est poemation Gabrielis Phaerni Cremonensis in Simplicium a Gentiano Herveto versum. specimen vertendi esto idem Simplicii p. 23,21—33. ut

Eorum autem

unum

qui dicunt esse

quos etiam proprie vocat Ph)/sicos,

Thalcs

pon

Hip

et

aquam

di

cunt principium-

Vt Thales Milesius

ab omni Dei cultu alienus, dicebant sensui apparent

ad hoc

aquam principium: ex

nam

inducti.

quce moriuntur exiccantur,

Ex

quo autem

eo quoque alantur natura insitum est.

omnes

superiores sicos

Phy

superavit.

Thaletis nautica Astrologia.

omnia

omnium principium,

esse

Thales

et

aquam.

continet.

historiam,

cum multi quidem

Caelerum

certe

.

.

alij prcecessissent ,

etc.

2

.

II

vt

ita vt

videtur

omnes

loci

illius

assentiunt']

||

(cf.

asserunt

ex Herveto 9 suntl

Hervetus)

15

Commentaria

in octo

et

ab innumeris erroribus diligen-

Apud Hieronymum Scotum MDLVIII. forma

Venetiis,

23, 21

p.

1

ut

16

||

14

latuerit^

19 naturalisl Nautica ex H.

a Philalthei versione haec interpretatio conflata.

— humidum

^^^' ^^ 9"" *""^

|]

— 33

sit

Tales Juerunt

7 Item

||

superavit ex Herv. omissa Philalthei nota ceu

10

Auditu Nuper quam emendatissumis exemplaribus,

haec, unde apparet qua ratione

humida sunt ex Herv.

17 ipsum

aquam

Nautica astrologia.

dicunt principium

jjraecessissent,

kumidce na-

est

existimabant

reliquisse praeter eam, quae vocatur

1

aquam

et

ex

Dicitur autem nihil in scriptis

discrepantia

(p. xxi) est m.

Aqtia autem quocirca

vt

et 5

qui cum praecesserunt ohscurauerit.

tissime castigata

maxima.

humido

singula,

Theophrasto, ipse autem longe caeteris antecelluisset ,

innumeris pene locis integritati restituta,

p.

siint

Simplicii philosophi perspicacissimi Clarissima

III

T^

viuit

est,

quae

pronunciarunt terram esse positam super

et

{.4^0^

Traditur autem Thales primus Graecis aperuisse naturcc

libros Aristotelis de Physico

f.

calidum

et

ijs

rerum omnium semina sunt humida,

et

alimentum omne est succosum.

turce principium,

quod mouetur,

quidem dicunt ipsumjinitum.

qui videtur fuisse adeo;, hoc

Hippoti,

et

'principium, et

alij

II

^^

patejicit,

\

es<]

et

i^ marg.

cum

observaverit

in mrg. habet Tales

Hippon

\

rerum omnium.

semina

Thales omnes physicos

multi ecjuidem certe alij veteres

(sic

ex Herveti obscuraverit)

||

APPENDIX HIPPOCRATEA

II

H.

1.

XXIII


USENKR BONNENSIS DE SUPPLENDIS HlPPOCRATIS QUAS OMISIT EUDEMCS CONSTRUCTIONIBUS

Ad

1.

Lineam

p. 62, 16.

ttjv

fxEiCo)

Ttov

T:apaXkrjK(av

xpnrXacjtav

dxeivcuv

sxaaTyj? ouva'[X£i sic invenies:

Sit

AB

trium aequalium trapezii

latemm longitudo, si

Fig

.

1.

A

cuius ex capitibus

radium eiusdem longitudinis in utram-

que partem moveris, ubi secantur arcus erunt capita lineae CD, quae cathetus est lineae

C

''"''

-

/,"i

AB eamque bipartitam efficit.

haec linea postulata

erit

proportione,

quemadmodum ex natura cuius latera esse oportet

CA

lam angulum minori accubantem

et

AD

(cf.

p. 67,

parallelae

62) bipartiemus

(fig. p.

B

hexagoni,

32

sqq.), sequitur.

Fig. 2

(cf.

fig.

p. 62).

non

ut Simplicio videtur (p. 62, 27) secun-

dum Euclidem tamus

sed ita ut demit-

1 9,

BF

in diagonales

et

AA cathetos,

quibus productis in confinio erit circuli

E centrum nam

trapezio circumscripti \

aequales omnes ex

E

in trapezii quat-

tuor angulos ductae lineae, unde tria

aequicruria

AEF FEA vatura

aequalia

formantur.

cum

trapezii

triangula

BEA

eius circuli cur-

minoribus tribus

segmenta tria efficit, quae aequalia esse ex chordarum earumque angulorum aequalitate sequitur.

lateribus

lam interior lunulae arcus quaequem arcubus trapezii angulis

rendus,

desectis similem ut

fiat,

esse oporteat.

parallela radii

AE

(fig.

orsum producatur usque eo

eam

2) (v),

quod ^

de-

ubi

cathetus E[x item producta secet.

ergo Bv

erit

postulati

arcus radius.

quoniam autem segmenta respondent ' Simplicius incohavit tantummodo demoustrationem, ncquc Eudemus in culpa est quod sumpsit Bretschneider p. 111', cuius crrorcm ctiam J. Allman On greek geoynetry (Hermathena 1881 n. 7 p. 198") refutavit.

^

parallelam non

eflfecit

delineata cxcusatum velim.

figurae scalptor,

i(i

quod ut

alia

quaedam non ad amussim


XXIV

chordarum suarum quadratis aequat vel

BA

cliordae vel

chorda basi trapezii formatur

BA quadratum

baseos

et

Ar

vel FA,

triplo

ut

quadratum segmentum cuius

quam

aliud quodvis mi-

sequitur

maius

sit

triplex

norum illorum segmentorum sive aequet cuncta tria segmenta lateribus atqui trapezium adiunctis tribus segmentis trapezii minoribus formata. aequat lunulam BAFA et illud super basin segmentum et quoniam tria illa segmenta aequant illud super basin segmentum, sequitur ut lunula sit

trapezio aequalis.

2.

Ad

3

Lineam, cuius quadratum -^ quadrato

p. 64, 19. sit,

sic

Fig;.

3

radii

aequalis

invenies\ (cf.

AK

Sit

Fig. p. 64).

dium huic

(a) si

radius, in

aequabitur linea ay pro-

aequicrurium

ducta,

quem me-

demittatur cathetus a^,

triang.

erit

cuius hypotenusa P7 ea quae postulatur proportione erit. nam

•yap,

quadratum cuiuslibet catheti (c) in medium radium (r) a circuitu de-

=^

missae

1

•

m

triangulo enim

quolibet intra circuitum ex catheto,

dimidio radio, hypotenusa

(= r

ex

sexanguli ratione) formato habe-

bimus

c^

= r'

crura catheto

lam

3 —=— r^

1-2

ergo hypotenusa Py huius trianguli ap^, cuius

sunt aequata,

linea Py

2--j^r^=:r\

erit

(quam 2a nominamus)

cathetum in mediam KB demissam producta ultra cathetum caput diametri

inter

Secet chorda aliqua a puncto circuitum in p. E, quae puncta

B

ita circulo

et circuitum

B

immittenda

media

ut

atque

attingat.

orta cathetum

FA

centro lineis

EK

cum

est,

intersit

in p. et

Z

ZK KZB

et

deinde

iungantur.

(basis KB tum aequicruria erunt triangula EKB (radii sunt crura) et catheto ex vertice Z demissa bipartitur) eademque similia inter se, quoniam baseos utriusque anguli aequales (ang. ZBK et EBK utrique basi

communes).

Ut EZ

sit

ea

quam desideramus

linea

eademque sit 2a atque tota sit quoniam BZ:KB = KB:EB,

chorda x, ex similitudine triangulorum sequitur, (x r^

x '^praeivit mihi H.

Kortum

— 2a) = r:x = x- — 2ax :

r

= a+»/v' + a^

collega.

cf.

J.

Allraan

1.

c.

p.

199*

1

APPENDIX niPPOCRATEA Compiitum sequatur constructio.

}'Y'^-\-a.'^

3 midiam lineam, cuius quadratum aequat -^r',

K

a centro

Sit

8B'

centro

=

K

r"-

-f

(i. e.

iungatur

B.

quodsi Bo tanto

.

a vel ^),

cyclium in E.

aequans

^y^j

cum

rl/^

sic iuvenies:

B

maior

Bs

erit tota linea

EB (=

ergo

significat di-

linea P7

illi

(=

2a)

tum erit hypotenusa oB = yr' +

comprehenderis eumque ex

si circino

quoniam a

demissa cathetus K6, dimidiae

aequalis atque caput

nam

xxv

.

quanto distat

fiet

= a+

+ a'.

l^r^

a'.

a

quamlineam

circumegeris, tanget arcus hemi-

FA

catheto linea

ita licuit

demonstrare,

Bs) ea erit natura, ut ab ea

nam

desecetur.

BE = B£ = a + i/rHV

BE— a^VrM^ (BE— a)^ = BE'— 2a-BE + a^ = r^ + a' BE-— 2aBE = r^

BE(BE— 2a) = r^ et

quoniam

media proportionalis

r est

BE:r = r:BE— 2a ergo assumpta proportione superiore

BE:BK = BK:BE— EZ BK = r EZ = 2a = ry

Ad

p. 66,22.

EK^>>KZ^, Hippocrati

cur esset

ut ex trapezii natura ang.

(itemque ang.

ergo

EKB

KEB) obtusum

minori parallelae

KB

insidentem

quoniam duobus hypotenusa oppositae quadratum esset 2r^, si

radiis includitur,

rectus esset.

|-.

esse probaret.

nunc autem cum

ÔO"

sit,

qui

EB"->2KE^

sequitur

EK->2KZ^ autem

Si

EK==>2KZ\

at

3

EZ'

= -^ EK^,

sequitur

_

EZ^>(EKM-KZ-). nam id

ita

demum

si

quod positum

esset

est

EZ-

EK- = 2KZ"'

= — EK",

=

EZ^ EK^ KZ^ 6:4:2 nunc autem esse posset.

ratio

:

:

EK-

> 2KZ*

et

fieri

vel

KZ'-=

aequatio EZ^ posset

EK- KZ:

i.

e.

=4

:

£K^2 -

:,—

,

secundum

= EK'- + KZ"^

ang.

EKH

et

rectus


i

ergo obtusus

Ad

ergo quoniam

obiter computes).

(si

erit

EKZ

eodem centro, quorum hac proportione D^ = 6d^

diametri (D et d) sint FiT. 4

(cf.

©rit

ambitus minor hemicyclio.

et exterior lunulae

construendi

p. 67, 11 sqq.

6>441)

sunt circuli

^^ circulo interiore radius ad circuitum appli-

p. 67).

catus

p

inscriptum sexangulum.

efficiet

punctis

Ar

linea

Ar'

ergo

tenusa.

AV

FA usque ad

= 3r\

hypotenusa

et iunctis Af,

iam

AA

hypo-

producta

linea

ut efficiatur linea

f,

coniunctis

cathetus erit et

Af

erit

rectaugularis trianguli AFf.

Ar

longitudo,

aequicrurii et

ergo Af'=^6r',

erit

igitur radius circuli maioris, qui quaerebatur.

Paulus Tannery Havrensis in Simplicii de Antiphonte et Hippocrate EXCERPTA p. 54 — 69

2.

lOn. malim "Kes geometricas Simplicius partim ex Alexandri commentariis partim ex Eudemi Geometricae historiae libro II petivit quae enim sequuntur de suis tamen intermixtis observationibus "

p. 54,

.

quadratura, deinde de Antiphonte ex Alexandro hausta esse facile concedas. cf. P. Tannery de Hippocrate Chio (Memoires de la Societe des Sciences physiqnes

1878)

naturelles de Bordeaux, 2

el

"^

Serie,

t.

II Paris

p. 180.

55, 6 probo Dielesii coniecturam.

—

12 xai

of^Xov

.

.

.

Simplicii

observatio, cuius imperitiam licet de-

est

quam primam

prehendere. etenim

^.p/T]v

ponit to aouvaxov

.

.

.

-cpicpcpstcf

eam Euclides demonstrat III 16 et III 2, id quod ipse quam autem secundam ponit s::' aTrsipov etvat xa [xsys&tj S. indicat. oiaipexa (vv. 22. 23), eam ex Eudemo petivit, quem priorem posuisse neque Eudemum ipsum (dico Geomenullo modo veri simile est. (vv. 16. 17),

tricam historiam,

nam

Physica et Alexander

nam

et Simplicius tenebant)

fortasse ne a Proclo quidem ipso lectus Simplicii aetate periisse videtur. et patebant tum promptiores thesauri velut Spori 'AptaxoxeXixa xr/pia, quae Eutocius in Archimedis de circuli diiii. prooemio (Archimedis ed. Heiberg III

de ea re lectum a

264,

1.5

sqq.

=

Eudemi

quae

Antiphontis,

S.

credo.

fr.

credit,

Speng.

is

XCI

liber

citat.

elucet ex altero Eutocii loco (p. 300, 23) ubi Hopo? ^

sit

[corrige STtdpo;,

Sporus

in Arateis

per litteras monitus graphis p. 231».

(cf.

Diels.]

quam formam scholiis

alio loco

aliquotiens

Fabricius B. Gr.

*

c.

nam ^

Spori ea esse

6 Ntxaisu?

Philonis

4 servavit codex F. quin idem nunc non dubito a C. Wachsmuthio 14 t. II p. 386), sed ignorabam in Doxo-

IH

citatus

HI

de Hippocratis et

p. 119, 10)

^J^cuooYpacpT^fiaat

p. 90,

Gadareni discipulus


xxvii

testimonium vocatur.

neque aliunde tralata

in

videtur Arcliytae ratio quasi ex

Eudemo ab eodem Eutocio

ceterum Spori Ceria

17 Heib.) excerpta.

i.

Electa

e.

[cf.

(III 99,

Gell.

N. A.

Bucbwesen 94'] conicio ab Ammonio Eutocio discipulo (III 2, 16 Heib.) commendata esse qui quidem cum idem fuerit Simplicii praeceptor ac de his quaestionibus cum eo coUocutus Birt D. a.

praef. 6,

,

(Simpl. Phys. p. 59, 22) huic quoque Ceria suggessisse putandus

sit

Eudemi tamen de Antiphonte narrationem per Alexandrum

est.

traditum esse non nego. p. 55, 19 ante ar^fieTov desidero sv.

nempe Alexander.

56, 1 orâi 58. 13 ouy

hinc Simplicii incipere videtur auimadversio usque ad

u'(ir^;.

unde Alexandrum denuo imperite disputantem Memoires 1. c. p. 181). 25,

V.

59, 6 ante

60. 14

ttjv

Eutocium).

(sec.

xo-j-yosiosT?

(cf.

Pappum)

sive

desideres xaxa.

Nicomedes enumerabat quattuor

n.

afifert

xoxôsiSsT? (sec.

at xo/XtostSou? aosXcprj

AppoUonii ab hic

curvis diversa Nicomedis quadratrici ab lamblicho coufertur.

—

18 6

}X£v

o5v.

tatus

paragraphum pones, non

hic

v. 22.

ex his verbis quae perperam Bretschneider interpre-

61, 3 xaxa xpoTiov.

Eudemo

contra Eutocium (III 264, 14 Heib.) efiicitur ab

est,

non agnosci, id quod et totus Eudemi apud Simplicium locus confirmat et eiusdem Eudemi Ethica H 14 certe Hippocratis

p.

1247

Mem.

=*

1.

^tuQrj-^pdzirîia

geometriae scientiam

17, ubi eius c.

p.

ubi

179,

Soph. elench. 11

Aristotelis opinione

B

—

8

25

p.

A

Phys.

et

Elementis quae

in

p.

171^15

recte

peusitantur.

(cf.

cf.

ex iniqua

Analyt. Prior.

verius

libello

de

Procli

iu

Euclid.

[veri dissimile est, si

Eudemi

(Eudemus

composuerat

p. 66, 7 Friedl.) scripta fuisse videtur.

verba

laudat.

2 (185*16) originem duxisse probatur.

haec demonstratio ab Hippocrate non in

osTcat.

sed

69^30)

quodammodo

reprehensionem

t];suooYpacpr^[xaTo?

scribes

nou solum

—

lunulis,

sed

etiani.

Usener.]

—

14 xal

Yvcuvia?

.

.

.

xa

T[XT^}jiaTa

(v.

18) Simplicio redde.

cognita sane Hippocrati in Elementis non in

libro

haec (juoque de luuulis de-

monstrata fuerant et ea postea Euclides iu suis Elementis

repetivit.

hoc de segmentorum cum quadratis chordarum proportione theorema non servavit; itaque demoustratiouem ab Eudemo destitutus sed

is

expedire non potuit Simplicius, definitionem dedit

eamque

frustra

torum proprietatibus coniungebat. est

qui

pravam similium segmeutorum

cum

coguitis ex Euclide

haec demonstratio ad cetera theoremata (i)raecipue

manda.

praeterea

tradiderat

Eudemus

non uuam, (cf.

p.

61,5).

segmen-

[dissimile veri est (juia uecessaria

sed

plures

Usener.]

Hii^pocratis

III)

coufir-

positiones

SUPPLEMENTDM PRAEFATIONIS

XXVIII

ab Eudemo datam esse non credo. primam quadraturara ab Alexandro (p. 56, 1 21) aliunde petitam esse clarum est. 62, 12 si Eudemus dedit figuram, non signavit litteras neque lineas AE p. 61. 19 figuram

—

BE FE AE AZ FZ

—

AA BF

constructionem ab Hippocrate datam non

17 n.

Tannery De

P.

cf.

iunxit et alterutram twv

agere

satis

habuit

V. 31).

(cf.

Eudemus

servavit

geometrique des problemes

la solution

second

dti

degre avant Euclide (Memoires de la Societe des Sciences de Bor-

deaux

2« Serie,

IV,

t.

3« caliier

18

p.

[de Textrait]),

ubi alterius

lunulae proponitur haec quadratio Fig. 5

(cf.

Fig. p. 62).

A

X-

r

x

= 3a-.

AB = a, quadratione construetur

Si

= BA,

pes

catheti

BH = —^—

tum

finietur.

unde

,

radio usus

qua est a in(A), quo cathetus venies punctum A in H demissa secetur, quae erit eius magnitudinis

H

B

—

AH. qua adscita triangulum 29

efficietur

ABH

etc.

cum demonstrationem non expediat

laai (ai).

Simplicius, librorum

scripturam xal servare malim.

—

30n. male Bretschneider ex Hippocrate petitam

esse credidit

Eudemoque demonstrationem modo possunt

inde conclusit quae nullo

et

probari.

63.1

STret

âp

.

.

.

xai

TA

tt^?

(v.

11) Simplicio restitue,

hasque ambages

brevissimo scriptore iudignas iudica, qui multa minus plana demonsupersederit.

strare esse,

enim

patebat

'

Br'>AB' +

—

6

—

9

n.

BAF

angulum sub

obtusum

ergo

lacunam haud agnosco.

Ar'

= 2rAi

ab imperito scriptore inepta profecta

noli mirari.

lacunam ne hic quidem agnosco. ponit 8ta xo Xp xoo

despero.

haec

latet conclusio:

ZAE

+

TAB

—

videt

FAZ = AFZ

ang.

BAr>recto. iam

= 2rectis

rAB>ZAr EAB

S.

BAE > AFZ — FAZ.

TiptoToo

et

BAE

de

Tjjxfoeia

sic

argumentatur

.

.

.

(6. 7)

(8.9)

> recto,

quae conclusio ad demonstrationem insequentem necessaria est. [hoc litteris non diductis TTjV BA vel omitte vel Simplicio redde.

12

ego

siguificavi. D.]

litteris

'

hic indicat.

Trjv

scp'

q

BA

dixisset

Eudemus sed

vide quae observavi ad

p.

62,12.

[quantum Sporo quantum Eudemo Simplicius debeat ambigi poterit. re fusum fuisse Hippocratem videas etiam in tertio theoremate p.

xime in

lineas sine

sed hac

ma-

66, 10 Usener]

APPENDIX HIPPOCRATEA p. 63, 14 at

Y^tp

Br

.

xpnrXastov

.

.

xxix

Eudemo

redde Simplicio.

lioc

ex po-

sitiouibus patebat.

quam Eudemus

64, 7 in figura,

—

dedit litterisque signavit, lineae

EA AK

AB AH

a Simplicio sunt additae. 13 male Bretsclineider verba ecp' fi

similia Hippocrati ipsi tribuit,

et

quae non minus sunt Eudemi atque aequalium. [idem J. Allman 1. c. et Usener observarunt. D.] Hippocratis verba ex Eudemeis enucleari posse vanum est somnium.

—

14 de constructione

Tannery De

la solution etc. 1. c. ad 62,12 baec proposita est 3x^+3ax=:2a^ b. e. parabole cum byporbole rectanguli, cuius latera proportionem babent 1 3. nam bypotbesis est (cf. fig. 3

P.

cf.

tertiae ibi lunulae aequatio

:

supra

p.

xxiv)

EZ^=^-|-AK^

ABE ZBF similia, ergo EB.ZB-=AB.Br = AK^

triangula autem

sive

+ ZB) ZB-yEZ^ sive (EZ + ZB) 3ZB = 2BZ^ ZB = x. ergo data a, formanda (EZ

EZ = a

Posui

et

dam X ex 2EZ^

EZ cum byperbole

parabole in

AK = i/AEZ

inde erit

indicatae.

erit

Br = -^.

et

ad construen-

rectanguli formae

atque quoniam nota

EZ, construi poterit triang. ZBF. sin data erit AK, quod sumpsit Eudemus, construetur quadratione EZ et sequentur cetera similiter. est

—

ego priorem rationem ut simpliciorem sequi malui. 18 ante variare

B desideres Eudemum in

videtur.

w

lcp'

cf.

v. 14.

15,

sed collatis 20. 21

exemplo

[at Aristotelis

in

lineis

quoque

significandis,

dubitatio nulla esset, breviore ratione siguaudi iuterdum

Eudemum

— —

non

uTToxstTai

32

[XYj

EH

âp

yj

EZ

oia Tou xevTpoi) [XTj

ubi

esse

unde boc ad discerueuda Simpliciana

oia Tou

—

.

.

.

veuouaa (24) redde Sim[)licio.

serva ex Euclide III

xsvTpou.

Useneri

(y|)

3.

fj

FA

Sta tou

xevTpou

.

.

.

dele.

inepta redde cf. Bretiam autea circulum EKIill descripserat (64,27), figuram ipse oxplero couatiis est. postoa ad Eudenmm reversus quod sumi)sorat domoustrandum esse opinatur. 9 tpr^fxt Simplicio redde. [ita feci litteris uou diductis. D.| tpiod in praocodeuti quadratura non domoustravit Eudomus no nuuc quidom

66, 7

Trepi-yeYpa^cp&oj

schneider

—

persuadeo.

usum

auxilium. D.].

sufficit

23

?]

mihi

aliis

punctis signandis credam, in lineis variare non

p.

domonstrat.

116^

Tjxr^fxaTtov

(8)

Simplicio

Simplicius euim,

{pii


XXX

t

p. 65, 10 t6 oTTsp

«jilv

EKH

Yotp

hoc

(-[jL^tia,

.

.

.

to Tpa-ECiov (15) Simplicii cveclas.

EZH Eudemea

(ecce Eudemus!)

itaque v. 15

xat x6 xprYcovov irspieêt x6 e^'

S. addit)

cum

sunt et

ou

YSYpacpdo) ouv x6 xjx^fjia

Eudemo restituitur constmctio. sed lacuEudemum quidem cum v. 8 iam scripsisset. nam dicere oportuit: quodvis EZ aut ZH segmentum sine demonstratione (23) iungenda.

digna

sic

postea reliquit S.,

'

segmento

cuivis

—

non audeo. 24 ou Exx6? irsptcpspsta 20 dcpatpouixsvot; 67:6

66, 1

—

—

TjfiioXia

11

EKH

16

otoxt

.

.

.

KE

.

sed

EKBH, tum 26

xaiv

EK KB BH verbi

(2) et

denique

omissionem Simplicio

8uva'[iot

14

nunc de

Eudemum

Hippocratea essent,

tribue.

EKH.

67:6

his 8t6xt

.

.

.

hti^tM

ea servasse vix cre-

dubio falso ponitur per hypothesin.

sine

[Jii^xei

BK>2BZ, xat audiendum>2BZ. namKE = BK).

mihi videtur. et

BZH BZK EKZ,

xoiv

Simplicio redde.

tribuebam.

(17) Simplicio

si

sed ipsa verba restituere

erit.'

potius promissis non stetisse Simplicium credo.

dibile.

18

BH

xat

.

.

tj

simile

S. otiose addidit, sicut v.

dubito.

—

EK KB BH

si

KE

^

£
tj

sed locus sanus

(iam virgula ponenda

[corrige

«>? sic?<^]

xr^z i'4

=

2KZ) apa [?D.] [x£i'Cu)v ^ KZ, (virgula ponenda, nempe KE>2BZ otzXajia ijLVjXEt. (punctum ponendum. [?D.]) xai SuvdtjLet. (iterum

T|

quod de ratione

punctum

ponito.

ouvdix£t.

sed quoniam

Hippocrates concludit (21) TT^xa

— —

.

.

KZ

TTpo?

.

EK^>2KZ').

inepta 8ia

[x£v

.

8uvd[XEi

.

.

1.

:

(67, 2)

quoniam

ergo EZ^*

—

21

—

27 HI dele.

—

28

xal 8t(Xov

32

"Jj

68, 6

ad rem

faciunt,

Simplicio

ambages

prorsus

inutiles

Simplicio

:

00, forsitan (p,

fj

Yotp

.

.

.

.

xat

7ap HI

.

.

.

-âp

.

.

.

6

:

exempli

cum

variet

kY{â^riîvo\i

si

Eudemus

proponit rationem

scripsit

Eudemus,

28

x6 "fdp

.

.

.

huius,

cf.

v. 29.

sane Simplicii sunt.

Simplicio tribuo.

TrXeupa (11) Simplicius

x[X75[xaxa)v

gr.

5.

<|^£uoo7pd(p7]txa.

demonstrationis qua per

16 t6

erit

Simplicio redde.

fuit x6

x£xpaT:Xd(5ia

.

.

EK^>KZ^

EK' + KZ^

x(x-i^[xaxa

(24)

scripsit.

nam

nervus est eius

(13) finem facit.

Simplicio

tribuenda

,

id

quod confirmat

rectarum designatio. xuxXou Simpliciana.

69, 6 lege xu>v x£ xptuiv (xat xoiv) Iv tuj IXdTTovi (scil. xuxXm). 11 post eauT6v virgulam, non punctum posco.

—

6[xot6-

nihil

quae

27 lacunam in scriptore imperito, qui ad numeros inepte confugit,

67,4 zdvxa et u-z^ non Hippocratis

—

xyjv

KZB,

tribue.

4

—

aeque valet de ratione

propter angulum obtusum

redde.

24 d

haud agnosco.

—

wtjxs

(20. 21),

valet,

}X7;x£t

BK^>2BZ*

APPENDIX HIPPOCRATEA p. 69, 31 aoptaKuv.

dens

Simplicii mauifestus error,

wpiaixEvots ttoj^

ouaiv (34).

non

at

xxxi

quem

ttoj?,

cleinde

corrigrit

sed absolute

ad-

(juptatxsvot

sunt arcus lunularum ab Hippocrate quadratarum.

Addo Tanneryi sententiam ex (Memoires

H

p. 184):

eius

de Hippocrate commentario

Les deux qnadralures obtenues de

la sorte tont ete

par deux tnethodes quHl est facile d un moderne de generaliser de maniere d trouver une infinite dauires lunules equivaletites d des polygones definis de

telle

pourront

et telle

fagon.

Mais, en general, ces polygpnes

etre construits avec

la regle

et

le

compas.

cf.

et

ces lunules ne

H. Hankel (Zur

und Mittelalter Leipzig 1874 p. 127): von Hippocrates quadrierten Menisken in der

Geschichte der Mathematik im Alteiihum

Es

ist

interessant, dass diese

That die einzigen sind, deren Fldchenraum sich mit Hilfe von Lineal und

Quattuor quidem aequatioues

Cirkel, also elementar

construieren lassen.

planorum rectorum

curvatorum, quas Hippocrateis addidit Th. Clausen

et

{Crelles Journal fUr reine p.

und angewandte Mathematik XXI,

375 ff.), sola ratione analytica indagatae sunt.

Berl.

1840

CORRIGENDA ET ADDENDA

n.34 immo S5

p. 6,

3

OQyavixov

1.

p.

14n. adde i5 ante

p. 9,

||

dele ii ante xai

36

n.

\\

14,21 n. adde 2S ante

\\

||

\\

34 immo S5

p. 15, n.

t]]

p. 11,2 fost TtQog o

ii

p.

\\

17,10

restitue

comma

dele

p. 13,1 tlSrjaiv TOiavTrjv intaTrj/LirjV

\\

librorum leetionem

p. 29,29 p. 25,16 n. post i6 adde rj fialkov] 7ianal«iAâv6niva cf.p. T6, ii. 295, S5 n. SfSO, sed Si>'49 (p. i45,3) p. 30,7 l. 0VT(og 16 n. /. (Jmyoo^? p, 31,13/. al

p.

IVS89

adde (ante xal)

1]

48, 24

n.

p. 57, 4. 9 irnmo p. 67,6.

9

Arist.

a.

p.

\\

dele 27 8e]

i.

—

uvouoyfvfj ut 60,5

wde i2

\\

||

43,25«. post

61,25

p.

II

R

adde i4

xa\

D

addito

cf

V.

/.

26

a,

cf. p.

57,25

p.

w

l
13

n.

p.

\\

adde i4

63,1

in

lac.

ante fi^Qrj

fiv

\\

p.

F

||

/.

conl.

759,20

hauserit cf. p.

F

II

279,32

V.

rj]

p. 330, in

n.

Vir 1881)

et vicinus est

n.

rescribe

11

||

p. 75,

\\

ante

n.

25

30/.

\\

tt\v

adde

iJnoTiOê/n^vo)

i4 immo iS, sed ante JuanaQu^vog

128, n. pro

p.

\\

F

adde ii «iirov

i5 p. 393 sqq.

\\

||

tovtov doxiti

CFlVSi ^^

Simplicio relinquendum

12n. adde dio

p. 40.

\\

\\

p,

\\

SS

l.

S2, pro

tojv

L.

S5

Kritik

l.

S4,

138)

voog [sc. Anaxagoreus, voog

6

" delendae. sed hau scio an uterque ex Alexandro

r) \\

p.

291,22

emend. Ambros. I.

z.

211,15. si ex Themistio Boethus

Alexander etiam 2ii,iS\\

Aldina Bibl. Marucelliance

p. 520, n.

i88i

dQi>9f/.eiv;

/.

p. 81,

avTO

fioi

translatus est (cf.ZellerlllP 625), virgulae

Giacomini

23

||

120,9

p.

Philemone

\\

hic et v. 4

l.

152,22 xa\ post ndvTag susp. Gomperz (Beitr.

dno yaQ

Am.

\\

||

ante Sh adde iO\\ p. 58, n. V. 3

\\

ubi proxima sic legenda conicit:

II

2)

69,23

R

ABF — immo AFB —

n. n.

||

(v.

n.

p.

\\

jondaai etiam

8

||

p. 59,7 xa dele comma \\ 24 60,15 post Nixofirjiôvg pone comma

p.

||

II

adde:

praestat

52,14

||

/.

35

p,

p.

||

x«t«

ante

praeiverat Mullach] flvai

iov

n.

\piv6oyQaq)rifj.a

28 immo D

addito

n. a,

oQitoyioviov

||

702, 19

/.

||

82,3 fifV ovv etiam cod. iJ p. 84, 25 immo ^6 p. 92,15 n. TavTu etiam R OQag 18 post p. 113, n. pone Si ante Xiyr] p, 119,11 vnofxifivrâxiav

p.

\\

10

p. 101,

25

13n. ante

||.p. 64,

codex

n.

om. ||

adde \\

||

46,17 neQivfVorjjn^vr] inierpretatur Bonitz Stud.

p.

|1

n.

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\\

non

\\

Vitelli

ci.

V i4

cf.

594,31 IxaXei. "

707, 30 n. adde

\\

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p.

n,

p,

p. 420, 19 ||

p. 519,

641, 33

E. Pais,

245,13 pone comma post

ante

n.

i^rjyrja fwg

avyxvaiv n.

addere

coniecit

adde Lagarde Gott.

La Sardegna

L.

adde i5 SiaiQiTr\

(Accad.

d.

gel.

Liuc.

SIMPLICII IN ARISTOTELIS PHYSICORUM LIBROS QUATTUOR PRIORES

COMMENTARIA

a)T2IKH:S

EU TO A TH2 APIITOTEAOTS AKP0A2EQ2 TOOMNHMA E2TI HPQTON

Tov oxorov

TTJ?

SIMnAlKIOr OIAOiOOOT

ou /sipov os lau)? xat

5 ad£iryp,£v.

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Tou acop-aTO?

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r;

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auTov oiaipsasu)? tou cpuatxou

xaT'

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TOU i^jpSXTtXOU T£X£tU>Ttx6v dXoôt? auv^pyouvTt

tui ouva'[X£i V(o Ttp Tatc op£?£at Tai"?

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xotvuic

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xat d/coptaTa Tr^c uXr|C xaTa7£ivo[X£vrjV, touto cpuatxov xaXouaiv,

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oaov

dXX'

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xat

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cp.

d.

otoaa7.ctXo'j

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zii

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ei

DF:

DF:

iT/oXr^^j.hryi

a t^;

cp.

V— VIII

/u>ptaTd xaXouat.

p. 2, 8. 3, 11

Cuiiiincnt. Aristot. IX.

F

D

Phys.

f.

xat

aD:

a

post oXtjv om.

cp.

vj, a qua norraa 'j;To'[j.vr;ij.a

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a.,

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ei'?

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cf.

p.

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12 Ttav touto TrpaxTixov collocat a

•/.aTayetvoixevrjv

cp-jatoXoytv.ov

DF:

Xo'yov t.

Porphyrii Quaest.

ttjv

19 a'jveiiatpo[jivTjv Siinpl.

Ss d/toptaTa t^? uXtj; 20

omisit prooemium

3

IG

cp'jat7.ov

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titulis [cf. Praefatio p.

Tiaaa
13 T£ om.

tt"^

inscribunt autem al) Stij-Xf/.too

av.poczaeiui;

5 xal aF: om.

I)F: 7,aTaYtvo;j.cvov a iiifra

^'^xr^s

(xaiêiv iaxi fyaotov at cf. e. ^.

Wj^ a

F

librorum

jxev

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6 ivepYEia

A

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liber proxiffle abest.

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1

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codex Laiir. 85, cf.

Philopoiii

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a

1:

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2 oustav

Ttxr]V

Xsyouat

iiiar^v

xtp

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I

xat ttjv 'ôyriv 8e

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Yj

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t6 dtotov auTTj? dTioostxvuouaa, sv os Tots XotTzot? ouo 15 axoiydviv Ttov u7:6 asXY^vr^v, xaO' oaov dirXd xal xtvrâst?,

xaTa ToaouTov

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oupavou

rispi

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ourtog -âp d'[xsivov oi^xat Xeyeiv

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xat ouy (o; 6 'AXsâvopo;

tou dtotou te xat xuxXo-

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tpoprjTixou xal STt

rspt TravT6; cpuatxou ato[xaTo? xaOoXou

sTvat

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xat 35

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os Trspt auvDsTou Xoyo? ^x£T, dXXd Trspt Ttov dirXtov, to? xat auT6? 'AptaTOtsXyjs ev Ttp TptTtp Tr^? 7rpaY[xaTsia; otjXov TSTrotrjxsv stTrtov ''irspt [xev ouv tou

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Ttov

ouo

TETTaptov arotj^sttov Tot?

25 Cuyta? Ttov

Tou

os

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xal dYEvr^Tov.

XEytov xaq ouo au-

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Ta djrXd xaXtov.

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a

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om. F

quod habet a

eijiujv

23

iaxt

cf.

DE:

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cf.

Laur. 85,

F

aD

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:

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45

cpuaio?vOYtxou

F

Praefatio p. vii

tou oupavou a

DF: auTou

16

a

xa&o'Xou

ofAoXoyer iterat xat auTo;

de Caelo

1

Zk

Trspt

dxoXouDouvTa

aw[j.aTos cpuatxou a

om. Aristoteles

31 twv om.

toT?

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Simpl. de Caelo p. 3^2. 11 sqq. Karst.

20 post

6 dptaTOT^Xy];

F (unde

12 14 auT^;

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in

26

brevius t(jj

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PnYSICORUM

SIMPLICII IN

^ Toiauxa xa

oaa

|x£v

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Iv xo)

saTtv l\v^fr/a za os

C^ôcpuTa*

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t(ov

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t(i)

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sed una comprcheuduntur Aristotelis

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xo(xiCo|xfô'j

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a

iv Tol;

om.

15

x.aX

19 t6

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E

(cf.

illfo-^

30

V.

5 iXXd

D

xaxa

im E

cpuotv

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Ttepl)

om. aF

16 fr.

F E

F

fiv

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om.

30

y.o(x[Co(x6ôu

33 xo\ om.

tjXDs

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'(ive-

29

23

om.

E

E

p. 36,

(cf.

oTov

touto

8 Sp.

E v. 4)

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h. :

13 xoiv]

au(X7i:^paa(xa]

iJiâeTat

P

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et

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D: 1.)

t6 xui

^^

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D

6

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:

6 ino tu/tjc

14 IfXTiax&ev 11

tivo;

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orov

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:

Iv xoTc a:

28 ?vexa :

^^^^â^spsTat

^'^'-

xaTa xecpaX^? 81

pdi^pov Iysvsto.

7:eau>v

auv^pr) Aristoteles

24

32

Iv

xaTa aufxpsprjx^?

OTav

oXoTrjTa,

3 ^STtv om.

a et p. 338,

E55r^(xoc

d7r6 cpuasu)?,

tots Ta ytvofxsva

sf i(]6st.

t6 XP^'^^'

o^xstav

T0iu>a6e

r^

dTuyElv %a\ xh e{)TU/eIv a

29

dT^sXapov ttjv

|

9 x^; (post

20

Ta svsxd

Tiva dXXa, oiov 7:posp/o[xat [x^v 6id t6 dyopdaat,

ypstoaTrj

35 Ive/Osk sTpau[xdTtasv

Iv

[xovtjv

6e

t6 6^ fvexd tou Osu)- 60

•((vBCSxiau

xojxiCofASVou t6v spavov,

7:epiTu/u)V

2

oTav

7:poo6o? oôv tou d-yopdaat, u)? Ilop-

6c -îvsTat atTiaTa d7:6 6tavot'a? xat d7:6 cpuasu)?,

Xido?

tu/t^v

ttjv

Ttvo? ai.Tta,

toutou dv svexa tou

xai

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tj

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r^

t6 auTO[xaTov.

•(ivr^xa.i

"ev45

cvsxd tou* 7:d? ^dp 6 ?vexd

Xo*,'o?

6s xai

evexd Ttvo? Iysvsto

ou'/ ^Tt

Itc'

tu/tj Iv toT? svsxd tou*

dTôTSuSt? xat t6

07:6 Tuyr^? ts xat ex TauTOjxaTou cpajx^v psTTai,

Ta

otoTt

osf/f^svTo^ toutou ou auv/^YeTo, Sti

jxy)

TauTa 6s laTt Td ts d7:6 otavota? xat Ta

sXaTTov

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sixotu)? ok Ssiêu)?

t6 fvexd tou,

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Tot? Ivsxd Tou TsOstxsv,

^dp

ou

sXaTTov evsxd tou saTtv.

st:'

outu)?

Iv 01? d",'ai>ou S7:iTsuct? xal

Tou

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evsxd tou dxoXouOst t6 d-

Iv toT?

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cprât,

01?,

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sv

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^v

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tu>v

stti

touto

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'zh

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ii:

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xaTa

dJv

ou y^p -?-' auvdcpstav 6 Xoyo?.

prjuivov aotxTTspaatxa. if);''u)as

7)xoXouftet

'dyr^; xat

auTO[xdTou,

dX>.d xai si Tt?

s-r,-fj'st7âTo.

TouTO -^xouasv,

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to

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36

tu-

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8id T(bv auTuiv auXXaPtov 7:poa)(i}sv

pr,!3si

dXXd

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ol xat to a}i. Oi sv toi?

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xw tij5

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:

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DEF

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E

E 21 xo

hzxd tou a

31 afxia Ta aE

:

oe

EtTtfbv

oxav

PHYSICORUM 115

IN

SIMPLICII

oiavota? xat cpuaeto; otov xy]v irpoooov

xot ccTTo

aoiiê^rfAoz aixia

xaxot

sYsvsxo 5

xos atxta,

oTTSp

eTtte

%

6

xax'

auxrjv

^"v

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ov xaO'

auxo

'AXsâvSpo?.

cpvjatv

axouaxEov x6 ov Tiav x6 atxtaxov,

au[xp£prjx6xa

xaxrjYoptat

fva

PEpyjx6c atxtov

x6

au^xps^yjxE

20 dXXou

xou

sivat.

aux6, x6

Ydp

8e

[XT^Troxe

p6v EupsTv

(o;

xou TOiyjxixou xou xlXouc'

[xovov (b?

xou

iTrt

'(dip

x6 opuSat

Trotyjxtx(p

ou8£V rjxxov

xat

aat X^^P^^

2

Yevo'[i.Eva

^ add.

DE

:

aP

T-^

ouda.

p. 181,

D

17 post

14

om. D, sed

cf.

d7rtau[xPa{vot

a

Commeut.

D Them.

aF

xaTd om. a p.

181,21

Aristot. IX. Simpl. PUys.

[xev

x6

aixtov

au[x-

oiov t6 opuât, 20

dXXd xat

IttI Itti

xaxd aufxpspyjx6? atxt6v

xeXoc laxi xaxd au[xpEpyj-

xat

dv

xat

aixttov

aixiotc

rj

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yj

5 xat (post oe) om.

E

xat om.

6 'A. a

E

18

post xaxa iterat oTt t6 xa&'

25 Soxet F'

32

aTrEipot?

supsTv

u8(op

Ixeivou a

cpTjatv

aptOTOv

I.

ijzi [XEVxot ê x6 d6ptaxov 25

xat ydp opuxxst xt? xat xou cpuxsu-

aEF 11

add. iv a

t6 Xeuxov elvat

t6 eupeiv om.

(x6

xaxd auixpEpyjx6?

X(bv

tcoXXoT?

14 xaxTjYopiats otoTt

xaxd

supstv

[xev

dXXtov,

xu}(ot

xu)(yj.

dXXwv

xaxaâXsTv

aF

13 AoX (post ydp) om. a

|xta

opuâi

ô^p

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yj

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x6 EupETv

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3 X^yeTai

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xaiv

liri

cpuxstcji st

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'^^'^

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a

ri

x6v

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35 au[xpaiyj dXXou xiv6? X'^?^^ îvo^xEvot?. ^^^-

81

xai

Trpd^t?

aux6 atxtov, aKkv); 8s xou Oyjaau-

x6 81

[xdXXov xaiv

x6 •ydp EupETv x6v

xuyyj.

auxyj

yj

xai x6 [xev xeXo? xaxd au[x[3Epyjx6c dTr6 tu/yj?

XsYsxat, x6 81 xcp [xyj

aujx-

aux6 dx6Xou&ov, x6 81 xaxd

xa&'

STrt

xaxd

oFov x6 Xeux6v

xu^^yj?

xou

ouxco? xai

cpuxEia opuât.

si

xf^c

ÊcupETxat

aixiou

30 laxt xou &râaup6v supETv, x6c;

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xaxd au^xÊ-

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xaxd

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aux6

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atxtax6v x6 [xsv xaO' lo

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6

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aixi(ov

xsj^vrj

yj

5

xaxa aufxpspyjx^? xaxa au[i-P£prjx6c Se xa x-^j

ouatav,

xtjv

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xaxa au[xp£prjx6?" , &c

Pyjx6?;

oe xat

vuv 8ta xou

x6 [XEV saxt xad' auxo x6 6e

10 ouata au[xp£py]x6xa),

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atxtov

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337

auxwv Yev6[XEva

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xa

xoxs

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[Arist. p. 196'» 10]

D 28

T«i3

TroiTjTtxw

F

34

aE:

ttjv

oua(av (13) cf.

30

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G ante

12 7J 6

19 inl xtX.

tou

E

yj

DE:

E

—

outcus xat

DF

iTrtaufjipafvet

22

i\

Themist.

ye

F

SIMPLICII IN PHYSICORTOI

338 aipov

xat

Tacpov -oirâon.

7)

dXXdl tsTaYfxsvov

"Eoixe

xai

6i

uScup cupsTv

r^

d ysvotto dv aitta xatd tov xat ou xaO'

out(oc,

10 £t£p(ov tivuiv,

xal

doptato?,

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t)

f|

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out£

oti

Iv

siVj

aitta xai

tj

ydp lattv

latt to diro tuj^r^?

tt

dd

dv suj toTc

dÊvf^tot?

toTc

ouv ov-

TroXXoiv

autx7Tt(0[xa

ouv doptatov

£t

dv cupsv.

(«v

lcp'

Ysvotto.

dopiatoc: dv

Ar^fioxpttov,

opu^t?.

totoutov,

tt

xai

sitj

tai? so

eupsrv tov drjaaupov, dXX'

tuj^Tjc

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-j'^^'^^-^"'""^''?

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6o Ytvoixlvotc, dXX'

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l^-v

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15

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toTc

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(Sat£

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xat lati xat touto

e(

37 -6

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a

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post IxaT^pa add. 81 a

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25 xoXouOrâ£

to xat

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xat

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diro

f|

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xaitoi

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6

xal sxaatov tout(ov (baautcu; a^ttov dv T(ov

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si

to Ytvojj-svov, ouxixi diro tu^r^? touxo ouSI to Ttotouv

sit)

-£pi tu;(r^; Ivvotatc.

5

w?

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196^10]

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5

II

laTt (ante t6)

^Ttt)

om. aF

om. aF

-paTTOfx^voj (om. -paTToijivto post tou)

F

34 xal

PHYSICORUM

SIMPLICII IN

aXXo 8v ixEtvou, ou 8^ oux

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di:6

Toyr^;;.

xat S^Xov oTt roirjTixTj aiTta sGTtv 5

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t6

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s-iri

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oux

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sTvat

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ante toutou babet

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xd TOtauTa.

6 d'v&pa>7roc, ou

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xi

dv tote d7r6

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PHYSICORUII IV

IN

o&Ssv exwXocV elvai, xav eXeYS oia xo

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ex Aristotele at

a

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p. 113.

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tou

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Magna 30

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oux eaTtvYjE: iterata post

6

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34

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34

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— t6

SLMPLICII

744

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ou

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35 eXeye xaO'

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scripturus erat, sed corr.

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xat

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xat

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IN

29 post ttjv

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01

PHYSICORUM IV

IN

SI51PLICII

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