Abbildungen der Seite
PDF
EPUB

GENERAL INDEX OF GREEK WORDS

AND FORMS.

[The references are to volumes and pages.]

ανισάκις ανισάκις ίσος, unequal by unequal

by equal (of solid numbers) = scalene,

σφηνίσκος, σφηκίσκος Or βωμίσκος 11. 290
åvouououepńs, non-uniform 1. 40, 161-2
ανομοίως τεταγμένων των λόγων (of perturbed

proportion) in Archimedes 11. 136
ανταναίρεσις, ή αυτή, definition of same ratio

in Aristotle (dvoupalpeous Alexander) 11.

120: terms explained 11. 12I
åvTLET OVOóra oxnuata, reciprocal ( = recipro-

cally related) figures, interpolated def. of,

II. 189
ÅVTLOtpooń, conversion 1. 256–7: leading

variety, η προηγουμένη or η κυρίως, ibid.
åvúmaPktos, non-existent 1. 129
ã£wv, axis III. 269
åóplotos, indeterminate : (of lines or curves)

1. 160: (of problems) 1. 129
απαγωγή, reduction I. 135: είς το αδύνατον

1. 136
άπειρος, infinite: ή επ' άπ. εκβαλλομένη of

line or curve extending without limit and
not forming a figure" 1. 160-1 : 'ån. or
els år. adverbial 1. 190: ét' dr. dlaipeio dal

1. 268: Aristotle on TÒ & Telpov I. 232-4
árlatńs, breadthless : in definition of a line,

unkos à alatés, breadthless length 1. 158:

(of prime numbers) 1. 285
år lows, simple: (of lines or curves) 1. 161-2:

(of surfaces) 1. 170
ÅTóðeigis, proof (one of necessary divisions of

a proposition) 1. 129, 130
åtokataotatıkós

, recurrent" (=spherical), of
numbers 11. 291
árotouń, apotome, a compound irrational,

difference of two terms 111. 7: defined i11.
158-9: μέσης αποτομή πρώτη (δευτέρα),
first (second) apotome of a medial (straight

line) 111. 7, defined 111. 159-60
ärteodat, to meet, occasionally to touch

(instead of èpánteoda.) 1. 57, 11. 2: also

=to pass through, to lie on 11. 79
åpcôuós, number, definitions of, 11. 280
äppntos, inexpressible, irrational: of lóyos

[ocr errors]

årøriov, angle-less (figure) I. 187
αδύνατον: ή εις το αδ. απαγωγή, ή διά του αδ.

δείξις, ή εις το αδ. άγουσα απόδειξις Ι. 136
ÅKLdoelońs, barb-like 1. 188
å kpos, extreme (of numbers in a series) n.

328, 367: (εις) άκρον και μέσον λόγον
Tetuño tai, “to be cut in extreme and

mean ratio ” 11. 189
alogos, having no ratio, irrational 11. 117-8:

a relative term, resting on assumption or
convention (Pythagoreans) 11. 1, II: use

of term restricted in Euclid III. 12
dubleia (ywvia), obtuse (angle) 1. 181
auß vyovios, obtuse-angled 1. 187
duepńs, indivisible 1. 41, 268
dubikoidos (of curvilineal angles) 1. 178
dupik upros (of curvilineal angles) 1. 178
åvaypápeuv åró, to describe on, contrasted

with to construct (ovorno ao Wai) 1. 348 :
peculiar use of active participle, ai loa
τετράγωνα αναγράφουσαι = straight lines on

which equal squares are described 111. 13
ávalovia, proportion: definitions of, inter-

polated 11. 119
ανάλογον = ανά λόγον, proportional or in pro-

portion: used as indeclinable adj. and as
adv. II. 129, 165: uéon aválogov, mean
proportional (of straight line) 11.

129,
similarly μέσος ανάλογον of numbers Π.
295, 363 etc.: τρίτη (τρίτος) ανάλογον,
third proportional 11. 214, 407-8: terápTn
(τέταρτος) ανάλογον, fourth proportional
11. 215, 409 : εξής ανάλογον, in continued

proportion 11. 346
αναλυόμενος (τόπος), Treasury of Analysis,

1. 8, 10, II, 138
åváral. (16yos), inverse (ratio), inversely 11.

134
åvaotpéyavti, convertendo, in proportions II.

135: analogous use otherwise than in

proportions III. 164
åvaotpoon Toyov, “conversion” of a ratio II.

135
åvaot popuxós (species of locus) 1. 330

H. E. III.

34

-

Ι. 137: άρρητος διάμετρος της πεμπάδος,
“irrational diameter of 5” (Plato) = 50,

1. 399, II. 12, 525
αρτιάκις άρτιοδύναμον (Nicomachus) 11. 282
ápriákis áprios, even-times even II. 281-2
ápriákis Teplogós, even times odd 11. 282–4
áption ÉPITTOS even-odd (Nicomachus etc.) 11.

282
å prios (åpcouós), even (number) 11. 281
doúmßatos, incompatible 1. 129
ασύμμετρος, incommensurable: α. μήκει (μόνον)

incommensurable in length (only), ouvánei

“in square" II. II
ågún ATWTOS, not-meeting, non-secant, asym-

plotic I. 40, 161, 203: (of parallel planes)

II. 265
ágúvoetos, incomposite : (of lines) 1. 160, 161 :

(of surfaces) i. 170: (prime and) incom-

1. 285: Euclid's repi dlaipés ew, On divi.
sions (of hgures) 1. 8, 9, 18, 87, 110: dual-
peous byou, separation, literally division,

of ratio 11. 135
Oláuerpos, diameter: of a circle, parallelogram

etc. I. 185, 325: of sphere III. 270
diao Tádels, almost = "dimensions

1. 157,
158, III. 262 : Aristotle speaks of six 111. 263
διαστατον, extended, εφ' έν one way, επί δύο

two ways, éti tpia three ways (of lines,
surfaces and solids respectively) 1. 158,
170, III. 263
diáo thua, distance 1. 166, 167, 207: (of radius

of circle) 1. 199: (of an angle)=divergence

1. 176-7
διαζευγμένη (αναλογία), disjoined = discrete

(proportion) 11. 293.
Ole Nóvti, separando, literally dividendo (of

proportions) 11. 135
diečodikós (of a class of loci) 1. 330
Ocypnuévn (åvaloyla), discrete (proportion), i.e.

in four terms, as distinct from continuous
(συνεχής, συνημμένη) in three terms ΙΙ. 131,

293
ôińxow, “let it be drawn through” (=pro.

duced) or across” 1. 280, 11. 7
di’ loov, ex aequali (of ratios) 11. 136: di'

66

posite (of numbers) 11. 284
åTaktos, unordered : (of problems) 1. 128 :

(of irrationals) 1. 115, II. !0
&TouoL ypajual, “indivisible lines” 1. 268

lo ov ev tetapayuévn dvaloviç, “ex aequali

in perturbed proportion ” 11. 136
dekódovpos, twice-iruncated (of pyramidal

numbers) 11. 291
diopo uós =(1) particular statement or defini-

tion, one of the formal divisions of a pro-
position 1. 129: (2) statement of condition
of possibility I. 128, 129, 130, 131, 234,

243, 293
διπλάσιος λόγος, double ratio: διπλασίων λόγος,

duplicate ratio, contrasted with, 11. 133
Súvajes, power: = actual value of a sub-

multiple in units (Nicomachus) 11. 282 :
=side of number not a complete square
(i.e. root or surd) in Plato II. 288, 290,

III. 1, 2, 3: =square in Plato II. 294-5
δύνασθαι, « to side of square equal to”

111. 13: ai duváuevai aútá, sides of squares
equal to them ΙΙ. 13: ή ΒΓ της Α μείζον
dúvatal AZ, “the square on BC is
greater than the square on A by the square
on DF,” literally " BC is in power greater
than A by DFIII. 43

Bágos, depth 1. 158-9
Báois, base I. 248-9
BeBrkévat, to stand (of angle standing on

circumference) 11. 4
Bwulo kos, altar-shaped (of “scalene” solid

numbers) 11. 290
geyovétw (in constructions), “let it be (have

been) made" 11. 248
γεγονός αν είη το επιταχθέν, “what was

enjoined will have been done ” 11. 80, 261
yeypápow, " let it be (lit. have been) drawn ”

1. 242
γενόμενος, o εξ αυτών, « their productΙΙ.

316, 326 etc.: ο εκ του ενός γενόμενος

=“the square of the one” 11. 327
youwv, gnomon q.v.: Democritus tepi dia-

φορής γνώμονος (γνώμης Or γωνίης ?) ή περί
ψαύσιος κύκλου και σφαίρης Π. 40: (of

numbers) 11. 289
ypauuń, line (or curve) 9.v.
ypa uuikós, linear (of numbers in one dimen-

sion) 11. 287: (of prime numbers) 11. 285:

ypa uueks, graphically I. 400
ypápeotac, “to be proved(Aristotle) 11. 120
de douévos, given, different senses I. 132-3:

Euclid's dedouéva or Data 9.v.
delyuara, illustrations, of Stoics I. 329
ocê on, “thus it is required” (or “is neces.

sary”), introducing dopio uós 1. 293
dettepos, secondary (of numbers): in Nico-

machus and lamblichus a subdivision of

odd 1. 286, 287
dexóuevov, "admitting” (of segment of circle

admitting or containing an angle) 11. 5
diárpadua=proposition (Aristotle) 1. 252
Olaipeio bai (used of “separation” of ratios):

διαιρεθέντα, separando, opp. to συγκείμενα,

componendo 11. 168
dialpeois, point of division (Aristotle) 1. 165,

170, 171: method of division (exhaustion)

eidos, figure 11. 234: = form II. 254
eioaywyn á puoviań, Introduction to Harmony,

by Cleonides 1. 17
ËKaotos, each : curious use of, 11. 79
Ékarépa ekatépą, meaning respectively 1. 248,

350
é Beplňotwoav, use of, 1. 244
Keivos= Euclid 1. 400
čkoeois, setting-out, one of formal divisions

of proposition 1. 129: may sometimes be

omitted i. 130
εκτός, κατά το (of an exterior angle in sense

of re-entrant) 1. 263: Ÿ ÉRTòs ywria, the
exterior angle 1. 280

é lás owv, minor (irrational) straight line ill.

7 etc.

II. 291

él.Koecöńs, spiral-shaped 1. 159
Endeljena, defect (in application of areas) 11.262
ελλείπειν, is fall short” (in application of

areas) 11. 262
Alecyus, falling-short (in application of areas)

1. 36, 343-5, 383-4
Életes poßinua, a deficient (=indetermi-

nate) problem 1. 129.
UTITTELV, fall in (= be interpolated) 11. 358
évadláž, alternately or (adjectivally) alternate

1. 308: évallaš lovos, alternate ratio,

alternando ll. 134
čva irleiw, “ several ones" (def. of number)

II. 280
évapuoselv, to fit in (active) Book iv. Def. 7

and Prop. I, II. 79, 80, 81
{vvoca, notion, use of, l. 221
Čvo Taois, objection 1. 135.
évtós, within : (of internal contact of circles)

Π. 13: κατά το εντός or ή εντός (γωνία), of
an interior angle I. 263, 280: ï ¿vtos kai
απεναντίον γωνία, the interior and opposite

angle 1. 280
efnis åváloyov, in continued proportion (of

terms in geometrical progression) 11. 346
επεζεύχθωσαν (επιζεύγνυμι, join) 1. 242
éttuópios Móyos, superparticularis ratio=ratio

(n+1):n, II. 295
Almedov, plane in Euclid, used for surface

also in Plato and Aristotle I. 169, III. 263
ÉTimedos (ápiduós), plane (number) 11. 287-8
επιπροσθείν, επιπροσθεν είναι, to stand in

front of (hiding from view), in Plato's
definitions of straight line and plane 1.

165, 166
éri pávela, surface : in Euclid 1. 169: in

Aristotle 11. 263
èróueva, consequents (="following” terms)

in a proportion II. 134, 238
¿Te pouhans, oblong: étepóunkes, oblong (figure)

1. 151, 188: (of numbers) in Plato=mpo-
uńans, which however is distinguished from
¿Te pouhrns by Nicomachus etc. II. 289-90,

293
ευθύ, τo, the straight Ι. 159: ευθεία γραμμή),

straight line 1. 165-9
eúd vypa uprós, rectilinear (term for prime

numbers) 11. 285
evð úypajuos, rectilineal 1. 187: neuter as

De upua, theorem, q.v.
Oupeós (shield) = ellipse I. 165
idlouhrns, of square number (Iamblichus) 11.

293
ÜTTOU médn, hippopede (horse-fetter), name

for a certain curve 1. 162-3, 176
ισάκις ισάκις ίσος, equal multiplied by equal

and again by equal (of a cube number) 11.

290, 291
loákis toos, equal multiplied by equal (of a

square number) 11. 291
ισάκις ίσος έλαττονάκις (μειζονάκις), species of

solid numbers, = πλινθίς (δοκίς or στηλίς)
ισομέτρων σχημάτων, περι, On 1sometric

figures (Zenodorus) 1. 26, 27, 333
κάθετος (ευθεία γραμμή), perpendicular 1.

181-2, 271: "plane" and "solid” per-

pendicular 1. 272
kaheloow, “let it be called,” indicating

originality of a definition 11. 129
Kautúlos, curved (of lines) 1. 159
katauet peîv, measure 11. 115: without re-

mainder,"completely” (Trinpoúvtws) 11. 280
κατασκευάζω, construct : των αυτών κατα-

okevao 0 évtwv, “with the same construc-

tion" II. 11
Karaokeuń, construction, or machinery, one

of the divisions of a proposition I. 129:

sometimes unnecessary 1. 130
Katatou n kavóvos, Sectio canonis of Euclid 1.

17, II. 295
kelo Ow, “let it be made” 1. 269
KEKAMMévn, bent (of lines) 1, 159, 176
Kévtpov, centre 1. 183, 184, 199: of sphere

III. 270: Ý ÉK TOÙ kévtpourradius 1. 199,
Kepatoecons (ywvla), horn-like (angle) 1. 177,

[ocr errors]

substantive 1. 346
eúd uuespirós, euthymetric (of prime numbers)

Il. 285
Pärteotat, to touch 1. 57
εφαρμόζειν, to coincide, εφαρμόζεσθαι, to be

applied to 1. 168, 224-5, 249
¿PEKTLKÓS (of a class of loci) 1. 330
εφεξής, "in order” 1. 181: of adjacent angles

I. 181, 278

178, 182, II. 4, 39, 40
*Mâv, to break off, deflect, or inflect: Kekl do Pai,

def. of, alluded to by Aristotle 1. 118, 150,
176, 178, ΙΙ. 47 : κεκλασμένη γραμμή,
defined by Heron i. 150, 159: Kek áo Ow

δή πάλιν 11. 47
Kláois, breaking (of lines) 1. 176
klions, inclination : (of line to line) 1. 176:

(of straight line to plane or of plane to
plane) 11. 263-4: όμοίως κεκλίσθαι, to be

similarly inclined ul. 265
Koldo ywvcov, hollow-angled (figure), in Zeno-

dorus I. 27, 188
kouvai čvvoral, Common Notions (=axioms)

Ι. 221-2: called also τα κοινά, κoιναι δόξαι

(Aristotle) 1. 120, 221
κοινή προσκείσθω, αφηρήσθω, “let there be

added to, subtracted from, each” 1. 276
koun touń, common section (of planes) 111.

263
kódovpos, Iruncated (of pyramidal number

minus vertex) II. 291
Kopvoń, vertex : katā kopuońv, vertical (angles)

1. 278
kpikos, ring (Heron) 1. 163

II. 2

vroumeva, antecedents (“ leading” terms) in

a proportion 11. 134
ήπερ, than: Construction after διπλασίων etc.

II. 133

KUKlikós, cyclic, a particular species of square

number 11. 291
Kúluopos, cylinder III. 271
KWvos, cone ni. 270

Anupa, lemma (= something assumed, dan-

[ocr errors]

önotouepós, uniform (of lines or curves) 1. 40,

161-2
öuolos, similar: (of rectilineal figures) 11. 188:

(of angles) = equal (Thales, Aristotle) 1.
252 : (of segments of circles) 11. 5; (of

plane and solid numbers) 1. 357, ll. 293
ouocórns dóywv, “ similarity of ratios” (inter-

polated def. of proportion) 11. 119
ómódoyos, homologous, corresponding 11. 134:

exceptionally "in the same ratio with”

II. 238
övoua, name or term, in such expressions as

ñ ek dúo ovouátw, the binomial (straight

line) 111. 7 etc.
ofeia (ywvia), acute (angle) 1. 181
oxuyuvios, acute-angled 1. 187
όπερ έδει δείξαι (or ποιήσαι) Q.Ε.D. (or F.) 1. 57

) .
op oyuvios, right-angled : as used of quadri.

laterals = rectangular 1. 188-9
ópiomós, definition 1. 143
öpos, definition I. 143 : original meaning of,

!. 143 : = boundary, limit 1. 182: =term

in a proportion II. 131
oyis, visual ray 1. 166
πάντη μεταλαμβανόμεναι, “ taken together in

any manner 1. 282
παραβάλλειν, to apply (an area): παραβάλλειν

årò used, exceptionally, instead of tapa-

βάλλειν παρά οι αναγράφειν από 11. 262
παραβολή των χωρίων, αρρlication of areas

i. 36, 343-5: contrasted with útepßoln
(exceeding) and exdecyes (falling-short) 1.
343: παραβολή contrasted with σύστασις
(construction) 1. 343 : application of terms

to conics by Apollonius I. 344-5
trapá došos Tóm OS, o, The Treasury of Para-
TrapaldTtw, “fall beside," "sideways" or

"awry” 1. 262, 11. 54
Trapanieni nedos (adj.), parallelepipedal=

* with parallel planes or faces”: otepeov
παραλληλεπίπεδον "parallelepipedal

solid,” not “ solid parallelepiped " i. 326
Tapa/Anoypaupos, parallelogrammic (=pa-

rallel-lined): παραλληλόγραμμον χωρίον
“parallelogrammic area," shortened to

Trapalnabypa umov, parallelogram I. 325
Tapaninpwua, complement (of a parallelo.

gram) 9.v.
πεντάγραμμον 11. 99
Trepalvovoa Too ,“ limiting quantity

(Thymaridas' definition of unit) 11. 279
πέρας, extremity I. 165, 182 : πέρας συγκλείον

doxes I. 329

βανόμενον) Ι. 133-4
Móyos, ratio: meaning 11. 117: definition of,

II. 116-9: original meaning (of something
expressed) accounts for use of a loyos,

having no ratio, irrational 11. 117
λοιπός, remaining: λοιπή ή ΑΛ λοιπη τη BH

ίση εστίν 1. 245

(Posidonius' definition of figure) 1. 183
iTeple xouévn (of angle), replexóuevov (of rect-

angle), contained i. 370: TÒ dis repuexó-
uevov, twice the rectangle contained 1. 380:
(of figure) contained or bounded 1. 182,

183, 184, 186, 187
Trepio oakis äptios, odd-times even II. 282-4
TEPLO O ÁKis teplooós, odd-times odd 11. 284
teploodprios, odd-even (Nicomachus etc.)

II. 283
Teploobs, odd (number) 11. 281

uelswv, major (irrational straight line) 111. 7,

87-8 etc.
je uovwo tat, to be isolated, of uovás, unit

(Theon of Smyrna) 11. 279
épos, part : two meanings 11. 115: generally

=submultiple 11. 280: mépn, parts ( = proper
fraction) 11. 115, 280: mépn (=direction)
1. 190, 308, 323: (=side) 1. 271
μέση ανάλογον (ευθεία), μέσος ανάλογον (αριθ.

mós), mean proportional (straight line or

number) 11. 129, 295, 363 etc.
μέσος, “medial” (of a certain irrational

straight line or area) III. 49, 50: ņ ek dúo
μέσων πρώτη (δευτέρα), " the first (second)
bimedial (straight line)” 11. 7, 84-6:
μέσης αποτομή πρώτη (δευτέρα), “ first
(second) apotome of a medial (straight
line) ΠΙ. 7, 159-62 : ρητόν και μέσον
duvauévn, “side of (square equal to) the
sum of a rational and a medial area
1ΠΙ. 7, 88-9: δύο μέσα δυναμένη, • “side of
the sum of two medial areas
89-90: ή μετά ρητού (μέσου) μέσον το όλον
Trolovoa, “side of (square equal to) the
difference between a medial and a rational

(medial) area 11. 7, 164-7
METéwpos, elevated (above a plane) 111. 272
un ráp, “suppose it is not
unkos, length 1. 158–9: in Plato = side of

complete square or length commensurable
with unit of length 11. 288, III. 3 : more
generally, of number in one dimension

II. 287-8
unvoelońs, lune-like (of angle) 1. 26, 201 :

unvoecôès (oxaua), lune 1. 187
MIKtós, “mixed " (of lines or curves) I, 161,

162 : (of surfaces) 1. 170
Movás, unit, monad : supposed etymological

connexion with móvos, solitary, mový, rest
ΙΙ. 279: μονάς προσλαβούσα θέσιν, definition

of a point I. 155
μονόστροφος έλιξ, single-turn spiral” 1. 122–

3 n., 164-5: in Pappus= cylindrical helix
1. 165

III. 7,

Jl. 7

vevoets, inclinations, a class of problems

1. 150-1 : vetelv, to verge 1. 118, 150

Čvot poelońs, scraper-like (of angle) 1. 178

Ouoclońs, “ of the same form” 1. 250

Trepipepela, circumference (includes arc) 1. 184
Trepipepńs, circular 1. 159
Trepipepóypa u pos, contained by a circum-

ference of a circle or by arcs of circles

1. 182, 184
andlikos, how great: refers to continuous

(geometrical) magnitude as tooós to discrete

(multitude) 11. 116-7
Anikótns, used in v. Def. 3 and vi. Def. 5:

= size (not quantuplicity as it is translated
by De Morgan) 11. 116-7, 189-90 : sup-
posed multiplication of πηλικότητες (VI.
Def. 5) 11. 132: distinction between

πηλικότης and μέγεθος Π. Π7
alátos, breadth 1. 158-9: (of numbers) 11. 288
πλεονάζον (πρόβλημα), “ (problem) in excess

1. 129

προτιθέναι, to propose: ή προτεθείσα ευθεία,

any assigned straight line ini. U
TT PÔTo apos átlýlous, (numbers) prime to

one another II. 285-6
#pwtos, prime: two senses of, 1. 146: 11. 284-5
#Twois, case I. 134
i upauis, pyramid ii. 268
öntós, rational (literally "expressible ") 1.

137, II. 117, II. 1: a relative term, un-
like dovujetpos (incommensurable) which
is a natural kind (Pythagoreans) ui. I:
ρητή διάμετρος της πεμπάδος, “rational
diameter of 5" (=7, as approximation to
V50) 1. 399, 111. 12, 525 : Öntör kai ućoov
duvauévn ( = side of square equal to sum of

a rational and a medial area) etc. III. 7
onueiov, point 1. 155-6
otá@un, a mathematical instrument 1. 371
otepeós, solid 11. 262–3: of solid numbers

II. 290-1: Otepeà ywvia, solid angle II.
267-8: όμοια στερεά σχήματα, similar

solid figures III. 265-7
oriyuń, point 1. 156
OtOuxelov, element 1. 114-6
otporyúlov, tò, the round (circular), in Plato

1. 159, 184
otporyułótns, roundness I. 182
oúpuerpos, commensurable: unkel, in length,

Ouvámel jóvov, in square only III. II
ovu népaoua, conclusion (of a proposition)

1. 129, 130
oúvevois, convergence 1. 282
Ouvexńs, continuous : συνεχής αναλογία,

“continuous proportion” (in three terms)
ournumévn ávaloyla,connected (i.e. continuous)

proportion 11. 131, 293 : ouvnumévos of

compound ratio in Archimedes 11. 133
OUVO évti, componendo ii. 134-5
oúvdeois Noyov, “composition of a ratio,"

distinct from compounding of ratios 11.

134-5
úvoetos, composite: (of lines or curves)

1. 160: (of surfaces) 1. 170: (of numbers),
in Nicomachus and lamblichus a sub-

division of odd 11. 286
ovviotaodai, construct : special connotation

1. 259, 289 : with évtós 1. 289 : contrasted
with παραβάλλειν (apply) Ι. 343 : ου συστα-
θήσεται, συσταθήσονται, “there cannot be

constructed " I. 259, 11. 53
συντίθημι, σύγκειμαι (of ratios) 11. 135, 189-

90 : συγκείμενα and διαιρεθέντα (com-
ponendo and separando) used relatively to

one another ii. 168, 170
ovotnua uováowv, “collection of units" (def.

of number) 11. 280
ovotnuatikos, collective 11. 279
opaipa, sphere III. 269
opaipinós, spherical (of a particular species of

cube number) 11. 291
σφηκίσκος or σφηνίσκος, of solid number with

all three sides unequal (=scalene) 11. 290

a leupá, side: (of factors of “plane" and

“solid ” numbers) II. 288
πλήθος ώρισμένον οι πεπερασμένον, defined

or finite multitude (definition of number)
ΙΙ. 28ο : έκ μονάδων συγκείμενον πλήθος

(Euclid's del.) 11. 280
molanlaoiáselv, multiply: defined 11. 287
πολλαπλασιασμός, multiplication: καθ' οποι-

ovoûv mollarlaolaouov,“ (arising) from any

multiple whatever” 11. 120
πολλαπλάσιος, πιultiple: ισάκις πολλαπλάσια,

equimultiples II. i 20 etc.
ablos, a mathematical instrument I. 370
TONÚT Neupov, multilateral, many-sided figure

1. 187: excludes Tetpár levpov, quadri-

lateral 11. 239
Tropio ao Pai, to "find” or

“ furnish” 1. 125,
II. 248
Trópiona, porism q.v.
ποσάκις ποσάκις ποσοί, « so many times so

many times so many" (of solid numbers,

in Aristotle) 11. 286, 290
ποσάκις ποσοί, « so many times so many" (of

plane numbers, in Aristotle) 11. 286
Tooóv, quantity, in Aristotle 11. 115: refers

to multitude as indikov to magnitude 11.

116-7
a ploua, prism II. 268
i póßinua, problem q.v.
a ponyoúmeros, leading : (of conversion)=

complete 1. 256-7: προηγούμενον (θεώρημα),

leading (theorem), contrasted with converse
a pouņuns, oblong (of numbers) : in Plato

=étepounams, but distinguished from it by

Nicomachus etc. II. 289-90, 293
após, in geometry, various meanings of, 1. 277
a poo avaypayai, to draw on to: (of a circle) to

complete, when segment is given 11. 56
a poo apuó covoa (eúdeia)="annex,” the straight
line which, when added to a compound ir•
rational straight line formed by subtraction,
makes up the greater

term,” i.e. the
negative "term
ar poo evpeiv, to find in addition (of finding

third and fourth proportionals) 11. 214
ar pótaois, enunciation 1. 129-30
a poteivw, to propound 1. 128

II. 131

1. 257

III. 159

« ZurückWeiter »