22-23. Siapépovor yap... kal yap at povddes. From the fact that Plato treated the different numbers as different in kind Aristotle infers that the units were also different in kind, and from this that equal numbers composed of different units were different in kind.
27. For ouveipa: used absolutely cf. rogo? 30 n.
$7, Alberts College Library
a privativum 22°32
aBapés 4°1
ayabdy = ov een 98210, 983%32,
996724, 12, 13°25, 59 #36 syn.
wardy 13°22, 91*30 dist. warty
78*31 dist. pauvépevov dn 13? 94
onpaive 70 toby 20°23, cf. ib. 13
mais épxn 75°38, cf. ib. 12, 8.11 mas
éxovct apes 70 d, 74 aToxX¢ia g1*30,
cf. 92*9 ovOev Aéyew Tas pabn-
pariuas eémotnpas mepl a. 78°31
khenriy a. Kal ovKopayrny 4. (2119
70 dpewvov 827 eis 70 Gpewvov
dmotehevT hoot 983718 Pyth. 986%
26 Plat. 31*31-"12, 84735
ayanaabat 980% 23
dydanats 980% 22
d-yannrov pers 5
d-yevnrov 999” uf
dyvou. opp. 76 eidévar 982" 20, cf. 75° 23 dist. Yed5os, dndrn 52%2
dyvwaoros 995%2, ,30°9
d-yporedrepo 986° 27
d-yopyvacro 985%14
dyaviov 20*35
ddvatperos I. T, 84 14, 85° 16-22 Kara,
76 moody (Kara THY aicnow), Kara, TO
elB0s 999*2, 16*19, aXe » 23, 89> 35)
cf, 88%2 To eld 14% 27 eis
elon 999° 4, Kara. Xpovov 16° 6
a, avTé 76 & z 7 a, oriyph 2° 4
syn. dmdods 14°5 a. mpos. 16°33
dbiapopos 16*18, 35*16, 54° 4 4, povades 81” 13, 30, 82227
ébizta Pyth. 990% 24
Gdinos 61722, 25
ddropior ers 986" 34
Gpés 17°8
GB puv ors 65°20
ddvvapia mocaxa@s 1920 def. 46°29
a. opiabeica us ouveiAnppevn TO
beKTUKD 55,8, 58> 27
dbvvarety 36°7, 38" 13
abvvarov ouppaives 2°32, a7?11, 19
a, smoraxes 19? 21 dist. Wevddos
47°14 4 eva ib, 5 dévva-
Oe ie i998 *19
dépwos 49*26
aap | ( (Anaximenes) 66°21
aderov 7 povds 16°25, 30, 84°27, 33
db pey 998” I
Aiywa 15% ae
Alyuntos 981" 23
aténdos Emp. 0° 8
alb.os. Siapevewy dba 984* 16
dkwnra 987” 16, 15°14 Ta alia
ee cf. gg1*10 obey Buvdper
a. 50°7 ev Tots Gd. ovbey kakov 51%
20 ovata. aiainrh a. 69 31, Bae
dydryen civat G, ovotay A. 6 dpa 7d.
Gd, && oroixelo 88> af Gromov yeve-
aw Tovey didioy gi*12
aiperov bv aid 72° 35
atoOnpa 10°32, 63°4
aisOnots 980* a2, 27, 29 >25, 981" 10,
986" 32, 999° 3) 10>2, 3,3 36*6, 8873
ai Kowal laos 98114 fp al.
ddAoiwas 9” 13
aisOnrnpiov 63% 2
aicOnrés 987°8, 14, 997°12, 10°32,
78°16 = rary ai. det peovree 987° 33,
cf. 999” 4, 103, 36°28, 69” 3. émt-
oTnpns mept TaY ai. ovK ovans 987°
34) 2 15 Opp. padnpartinds 989? 31,
9g0*15 coni. lyqovs 989» aT 36”
ap opp. as gd 990* 31; 999°2,
25°34, 30°32 9 43°29, 45° 34 Opp.
elonrixos 9° Pag m6 Epov Tas ai,
odoias pévas cya paréov 997% 34,
a. Kat
riee 59° 39 ai. ovclat vAnv
zxovet 42°25 ai, évaytiwoes 61%
32 ovata ai, 69% 30
airia syn. 2px 982°9, 983°4, 986° 335
989° 23, 13°17, _mpern ale 983°25,
cf. 3731 —airiay éxer 984° 19 TOU
ware ovpBeBnxes al. 65°7 al. réocapes
7° >26 1OTE pov pas q TwoAA@V
EmoTnpav Beaphjoas tas al. 995°6
airraobas 985 * Bis E313
aimiarév 65% 11
airiov, copiay mept Ta hha ai, tmo-
AapBavovat mayTes 981? 28, cf. 982°
13 70, apxis at, 983° 24 eyn,
dp ib. 29, 990%2, 3°24, 13°16,
69°33 syn. oroxeiov 25°5, 42%5,
69*%26, 71%25, 86%22 A€yera
rerpaxas 983%26, 9965, 44°33,
A. 4 otk dnepa Ta ai, a, 2
métepoy puds % mAcbvay emarnpav
Gewphou nivra Ta ~yévn Tov al. 996*
20 nogaxa@s 13%16, A, 2 mavra
7a, al, dthia 26%147 al. yevnTa, Kal
pOapra dvev rod ylyvecOa Kal pbeipe-
ga EB, 3
at. ward oupBeBnkds 27%8, cf. 65%6
7a éyyirara al. 44”1 70 KivoOUVTa.
al., Ta ws 6 Ad-yos 70% 21
aldy 72” a9, 75%10
dnvyata 988" 3, 44°19
dkwnros. 76 vd, 984*31 éorw d.
tis pbows 10°34, cf. 69733, A. 6, 73%
24, 33 mocax as 68” 20
dxorovbeiv 981*27, 989%32, 3°23, 18% 36, 42°3, 47°3
dnoveyv 980" 23
duparos Aoyos 9* 4
dn pBns 982*13, 995° 10, 73°16, 78%10
dupiBéorepor Adyor 99015, 79%11
airion dxpiBécrepa 257 a, 70
peérpoy 52"36 éxpiBéorepos opp.
paranwrepos 64% 7 coni. AoyKw-
Tepos 80* 10 dnp Bas 31%7
dnp. Boroyia 995 915
dxpoages 994” 32
dxpos. al dxpbrara airia 2,*26 7a apa 30*25
AKpwrnpiov 24% 25
ddrndea 983” 3, 988420, 993%30, 17, 20, 53, 91, 78°13
ares cimetv 9897, 6” 29, 7°32, 12%
28,17°34, 21°1, 25°14, 77°31, 33
mt dG, OD eyytrepoy TO paddAov 4
9*1 ToUTw d. 113 y
ib, 25, 12%9, ®. 10
E, 4, 17*31, @. 10,65 *%21
drnbeve mepi 7t 10%9, wept Tivos » 24
adnbevecOu Kara Tivos 10%8, 11°16,
62%34
ddndwurepov 9*3,
*Adrnpalov 986% 27
dAAG in apodosi 103
dddo mocax@s 54°15 Gddo 71 44°16 v. 1.
dAdoios Emp. 9” 20
ddrdolwats 989%27, 42%36, 6912, 88%
Acad. 87°26
a
dddoppoveiv Hom. 9” 30
ddoryos 99923, 2%29, 8348
pets 462, 48% 4, 5033
Gros 65°20
dpa 68” 26 dpa voeiv 27°23, 24
dpdprnpa 51*20
dpapria 834, 8424
apBpoata o* 12, 17
dueveOns 75°29
a, duva-
Tay Kore cupBEBnkos TA —
dpephs 73°6
dperaBarnros 14°28, 19%27
dperdmearos 15%32
dpeyhs 98915, 17
Gpuxros 9891
dyo.Baios Emp. o? 15
dpmexopevor 23 *11
dpvbpas 985%13, 988°23, 993°13
dpproBnrnotpos 996"27, 10717
dppw, 70 e dppoiv 29*6,71%9 70 appa 84%12
Gpas yé mas 22%2
dvayew eis Tov Adyov, THY apxHV, Tovs
dpiOpovs, evépyeav, etc. 983%28, 4°T,
36°12, 51°30, 994>17, 4>28, 34,
55°29, 61212, 82°37 eis yvapt- purepov 40” 20 ypappny 51*25
dvaykatov 10" 28 mocax@s A. 5, Vor LT
h dmddegis Tov a, 39°31
dmodeucviovow dvaykadrepoy 25°13
dvayin def. 6°32 nocaxas 26°28,
64°33 —é d. 62%21, 7210
opp. ws émt 7d odd, cupBeBnios 25%
15, 18, 20, 2628, 278, 64°33—
65°3
dvaryoryh 5*1, 27°14, 61°11, 16
dvaipeiv 990° 18, 1215, 6211, 79°14,
82533 70 émtaracba 99420 ov
ciay 7*20, 86°18 del dvauipeiv
€or 40% pass. 9929, 0” 29,
68, 65%14 dva.poupeve dvatpel-
rar 17"18, 71435
dvaxaprreyv 9943
dvardoiwros 73," 11
dvahoyia. Kar’ d, €v, etc. 16°32, 34, 17 "2,18" 13, 70%32,!) 26, Same
dvahvew Tovs Adyous 63°18
dvadurind 5° 4
"Avagtarydpas 984*11-16, °18, 985% 18-
21, 988%17, 28, 989%30-"21, 991 .
16, 9*27, 12°26, 6325-30, 69%21—-
32, 72°5, 75°8, 7920, gr?44
citatur 7 25, 9>25-28, 5628
*Avagipavbpos 69” 22
*Avagipévns 984% 5
dvamre eis Tovs dpiOpovs 78” 22
dvatponh 13°14
dvapépeaOat mpos 7. 4*25, 26, 45°28
dvbpamnoba 75% 21
dvipravronontinn 13°6
dvdpravrorotds 13°36—14*15
dvbpeds 13° 35—14*11
dveredbepos 995% 12
dveXitrovoa opaipar 74% 2, 9, 11
dvépyacros 48” 4
dvev, tov oboiay a. 71*1
dvOpwroeidets Beot 997” 10, 74°5
Seoparnos, TO dv Opa elvan 6° 33—
vce Seman 8 pevdns eae &, av-
Operon dee g2025, a s2,070"8,
27,°34, 92°16
duixia Pyth. 990% 24 v- 1.
dvicoy 2233 7o &. Acad. 75%33,
8705, 9 88*15, >29, 32, 8976-15,
9135, cf. 81225
dnadrns 1° 23
dvopotopepns 24°16
dvopovov 18*19, 24% 21
dvépovce Emp. o? 15
sree eee 40%22
dvrecmeiv a b. II
dyriditos 995°
dyT.0éces rerpaxar 54%23
dy Timerpévers Pras UO 8ir, 18, 28.43%, 54°15
dyTuceio Oat. dyrucelpevas paces 11 14,
62" 6,.10,.22, 33, 17 peraBons)
els ra dvruceipeva 11°34, 69% 4, cf.
57°31 dvtixeipevar Siapopai 16%
25 Aglade mooax@s A. 10,
Etsaetory sy fe 33 dist. évayrioy 69"5
dy Tide yew 24? 34
*AyriaGéveror 43” 24
*Avriabevns 24°32
dvriotpepew 16° 28, 61717
avripacts T. 3-6, 12P2, K. 5, 6, 67°14,
21, 22 perago ayTipacews ovbév
T. 7, 55°1, 63°19, 69%3 maa
dvvapus da THis | d. 509, 31 dist.
orepnots, évavTidTns, TA mpds TL 55%
38 70 Kara THY a. 63%21, 24
dvtixOov 986%12
dvumderos 5°14
dvw 992° 17 7g, 16% 29 jdvarré pos 990°6, 5°34, 16°30 dywrdrw 998?
dvdvupos 33°14, 56225
afiopa = dmodeKrinh apxn 997"7, 11,
5*20, 533, 90°36 =sententia 1>7,
77°30
do.bot 983%4
déparov 22°34
dépiatos 98918, 10%3, 63%28, 92%13
a. 70 Suvdpe ov, 7 VAN, TO ovpBEBn-
kos 729, 34%24, 65%25 cf. duds
dnayopevew gt 23
anddea 46*13
dnaOns 99126, 19731 syn. dpera- Banros, dvaddoiwros 19*27, 73711
dmadevaia 53, 6°6
dmatdevrot 4324
dnayrav tea 145,63? 13
dndy rots 9% 20
Gnaft 20>%7
dmaray a Bay ts
dnarn dist. dyvoi 52%2
Gnavatos kivnots 72% 21
drecpia opp. éumetpia 981*5 opp. mépas 988 * 28
994°3, 10*22 v, aE dmepavrws 66> 33
dmepyaecdar 48° 4
dnépxeoBau éx Ths evTehexelas 36°6 = ek Ths aio Oqo Eas 4073
andav dor pa PB PTO
dndods. d. cHpara 9846, 988° 30, ag
KOs 42° 9; are I peyes ameyns,
ddvatperos 989” 17; 14°5 70 mpa-
TOV dvarykatoy TO a. F 5 “b 12 olriat
dmdovorepau Opp: dueptBéorepat 25 Bey
Ta a. a. ovota 24> 27) at LXoy 72° 32
a. Kivnots, popd 53%8,73%29 padAov
apx? 76 admAovarepoy 5935 ‘yéveois
an 07) 23, 245 68°35, 6910, 88*33
dist. é 2" 32 amas 987*21,
15°8, 20°33, 26°33, 42°7, 49*23,
52°19
dnoBdéTey 986 24
dmoBodat 18°34) 55°37
dmoryiyveqbar 49° II
amodekvivar éeyeTucas 6°11 15>8
dmodektixal dpxai 996>26 dmodek- Tuk 997 *5-30 onovdn a. 73°22
andbeugis 992” 31, 14°36, 77? a2, B78
2 Tept mavtav dddvarov a, eivat
997°8, 6*8, cf. 11% 33 ovK EoTW
dmddergts ¢ ovolas 2514, 64" 9 TOV
ovaiay Tay aianray Tov Kad’ Exaora
oud’ dpa pos obr’ a, gov 39°28 =
ad. TaY Guaryreaiay ibs 31 pepe
Tas a. 526, 87> ar d. amA@s, mpos
rovde 62% 3) Aoyixal a. 87 at
amodéxecOan 987” ANOOR G0; 13,5503
darodudovau 40°30, 45°16, 57°8, 59°27
70 aitiov, TOY ae etc. igh 35, 64%
2850452 2200 87a ne O24 DE Ta,
amA@s
pavdpeva, 73°37, 74%1 Te Tals apxais 84°35.
admokabioravar 74%3
dmoxpive 989°6, 14, 48°3, 63°30
dmodAapBavew 61 a1
dmodoylay éxew 1° 15
dmodveuv. dmodeAupévos 31°3, 85°16
dardpy ya 4 Bek ae ah ft (ie
drropta 1995" 30, 87°13 988> 21 diadvey 6115, 6231
anoppinray adiopiatws 986%34
dmopwrarn ovaia 29733
dmoredeutay eis TowvavTiov 983°18
dmorépvedOa 3%24
amorpwyev 1*2
sore xdvee? 9931
dmovy 22 *35
dmovata 4°14
dmopaivesdar 984%3, 99317 idta
dmopdvat Ti mpds Te 12°13 amoré- pnke ib. 16
sey » eters:
amdpaats. <i Tav dnopacewy Plat.
990°13, 79° Io dist. orepyots 4°12
amovota % a. ib, 15 TO évavTiov
empéper 12% “9s cf. 46°13 ad. TO
pa eivoa 12°16 ai dnd Tov G& da.
22°32 ad. oTepntikn 56*17, 29
= dmdpavars 2a tG
dmopopa syn. dndpacts 46> 14
drop pierdat 10831
dmrecOar 998%2, 2°34, 14%21, 25, 68>
27, 09%13 metaphoric 984%28,
985° 24, 538790; 09" 24
arvpnvov 23°1
dpe? TeAciwats Tis 2120
apiOpnrinds 5°31, 9o*14 &. &p.O nds
8316 apiOunrinn axpiBeorépa
yewperpias 982° 28 h apOunrin
99128
apiOunrds 66 25
apiOucs, % Sexds Soxet macay reprecdn-
d, SvepxecOar-
60> 29, 87> 12 70 évl elvar apxn
Twi zor apiOpod eivar 16°18, 21 *13,
52°24, cf. 88°6 def. 20°13, 39”
ae 5a> 39; 57° 3), 85°22, 88*5
of a. Trowot tives 203 avayew es
Tous a, 36°12 coni. Spo pds re
34a, 4508 évépyea % Kar’ apd-
pov 51* 33 a. padnarsicol 76*20,
8021, 30, *135 81°6, 8353, 8645,
9033; 35, 1°24 ot a. Acad.
M. 6-9, N 64. 6€ xov 70 mporEpoy
kal vorepov 8012 a. parabocal
8019, 30, 82°6, 83° 1% 92°20 a.
mp@ros 80°22, 81%4 6 Tay eidaiv a.
81°21, 33" 3) 90°33 tis d pub pod
Srapopa Ser ov aupBAnrods €ivat
Tovs a. Plat. ib, 34 a. dpi unruxcds
83°16 drretpos, memepacpevos ib. 36 6 dp’ évos SemracvaCspevos 84%
6 apn ob« €or ev Tots d., TO F
epetiis 85% 4 a. <idyTunds 86%5,
88> 34 go? 35 Opp: Abyos 87°12
a. TUpwos, ynivos g2°20 & apn
elvat ib. 27 a. Terpayowor, KUvBot
93° 7 Ta peta Tovs &. 99213, cf.
85°7
dpiorepov 986% 24
Ap erimns: 996 *32
apiorov 42? 21
dpros 93° 19
apyovia. 985° Bits 986*3;, g2 ass xopbal % d. 93°14
dpyoviich 997>21, 78%14 dppovKa 77% 5) 93°22 :
Gpyotrev Tit 22%2
dppev 988%5, I. 9
dppuomoros 14°27
dpats 19 "16 Valls
dprao bat By hikyy
dpriov Pyth. 986%18, 24, 990%9, 66°21 Plat. eae 3-7, 91°24
dpriérns 4°11
dip xaiKas 89*2
dp xatos 989° II, 69% 25
dpxn syn. aitia, atrioy 982? 9 983° 29,
4, 98633, 989 23, 990° 2, 3° 24,
13° Hy Beat 5, 69°26, 33, 86%
21 7a é€ da. atria 983° 24 6
Oeds a. Ts ib. g syn. oTotxetov
983711, 989°30, 995 °37s OGR as
255, 42%5, 69°20, 80? 32, 86%an
dist. orouxetov 41°31, 7023, grag,
10 d. & Bays elder, TO e€ ov, ws VAN,
Twparecn 983" 7, 24, 986°17, 987° 4,
46%23, cf. 984%6 Ths KW Tews,
HeraBAnriKh, KWYTLKN 7) OraTeet as
Kwoov 7) tardy 984%27, 46°14, ? 4,
49°6- -9, 70” 25, cf. *7 év dAAw
év aiT@ 70°7 d. 70 ob Evexa 50%8
énTa
émi tivos 81%
Pyth. 986724
14 _mororépa 623 mOTEpoy TA
yer dpxat aon? cide, aprou@
€&y 999°25, 2°31, 6oP29, A. 4, 5
TOV poapray wat Tay apOdprav 076
monepow Kadddov 7 Ka’? Exacta 3°74,
ramon iM. 10, cf. 6022, 69° 28
a. moocax@sA,I aid, rav ovrow a
évra, BE. 1, cf. T. 1 coni. ovgia
mph $y 60? 23) 6928, 70°25, 76°24,
TA. ee d. Kat TA eine 51%20
poe d, 70 atdovaTepoy 59°35 an
73 avvavaipody 60*r ad, mas ai
avral, mas erepat A. 2-5 m@s TO
ees ee 75°38, cf. 12 mas TO ev
d. 84° 19 mas Exel mpos TO ayaddy
gi*31, 92°12 —aireioOa 70 év
a6, cf. 20, 8>2
apis 983” 20
apxikwrépa, apxikwrarn emorhyn 82%
14 96
dpxiTenTovinal TExvat 13714
apxiréxtav 981% 30
dpxoeidés 999% 2
’Apxvras 43%21
dorarov ope. 7 3° 31
dorpa A. 8 a Tov d. pots 73°34
darporoyia 989°33, 997°16, 35, 998°
5, 53°10, 73°5s77°2
dovpBAntos 55%7 d. povddes M. 6,
83°19
dovpperpia Tis, Sanerpov 983716
dovpperpos a geo 120
down bea 995° 2
dotvOera 51°17 a. TH yever 57°21
davvOeTwTEpos 40% 23
doxioros 38°14
dowparos 988*25, Bae
arakra Kat drepa 65%26
dragia 985°1 opp. «fdos 70 28
arehés 77°19, 92°13
drehedryTos 66°37
“Arthas 23%20
dirunros BaPa
aropot pap mat 992% 22, ef. 84° I a.
peyebn 83°13 — Tad, = maxime
universalia 994221 =TAa Kad’ exagrov
995°29, 998°16, 29 (?), 999° 12, 15,
58°18-20 = 4, ld 998" 29 (2), 18>
6, 34°8; 58°18, P10, 59°36 To
yevee 18