Page 540 - Euclid's Elements of Geometry

ST EW ABBREVIATIONS: act - active; adj - adjective; adv - adverb; conj‰pt w, ‰yw, : vb, postulate. artiìpleuro
‚sÔmmetro
‚sÔmpt Štmht aÎtìjen ‚farew f , bˆjo
ba nw, -b somai, Šrti o
-a -o n : adj, even, perfect. bèblhmai, ªrqjhn gègo na, gegènhmai, : vb, rule; mid., be- .
©ya,
—,©mmai
- conjunction; fut - future; gen - genitive; imperat - imperative;‚p¸tero
transitive; mid - middle; neut - neuter; no - noun; par - particle;Šra
part - participle; pass - passive; perf - perfect; pre - preposition;‚ri jmì
,
pres - present; pro - pronoun; sg - singular; tr - transitive; vb -‚rtiˆki
GREEK–ENGLISH LEXICON
n, -ªqa,
,Šxw,
¢qjhn
ªgmai,
Šgw ¢gago
ªrxa,
Šrxw,
: vb, lead, draw (a line).Šrqw,
ªrgmai,
ªrqa,
‚dÔnat
‚e
, — : vb, touch, join, meet.
n, ¥rhka,
e[Ù℄lo
aÉr sw,
rèjhn
aÉrèw,
¥rhmai,
-a -o n : adj, further off.
impf - imperfect; ind - indeclinable; indic - indicative; intr - in-
‚i tèw,
¢thsa,
aÊ t sw,
thmai,
žt jh
thka,
: par, thus, as it seems (inferential).
aÒ thma -at o
, tì
å : no, number.
-o n : adj, analogous, consequent on, in conformity‚tìpo
‚kì loujo

: adv, an even number of times.
verb.
-o n : adj, having a even number of sides.
Škro
-a -o
: vb, take from, subtract from, cut off from; seeaÉrèw
‚llˆ
gin.
o
-o n : adj, impossible.
-eo
,
tì
-o n : adj, incommensurable.
: adv, always, for ever.
‰ma
bèbhka,
-èbhn,
wt o
-o n : adj, not touching, not meeting.
: vb, grasp.
o
-o n : adj, obtuse-angled;tä ‚mblug¸ni
‚mblug¸ni
n, bèblhka,
bˆllw,
balÀ,
êbalo
âbl jhn
o
-o n : adj, uncut.
‚mblÔ
-eØa -Ô
: no, postulate.

-ew
,
bˆsi
-o n : adj, absurd, paradoxical.
tero
‚mfì
gˆr
‚nagrˆfw
: vb, describe (a figure); seegrˆfw
: adv, immediately, obviously.
gen somai,
g[g℄nomai,
âgenìmhn,
with.n : adj, outermost, end, extreme.
‚nalo
: conj, but, otherwise.
‚nˆlo
™ : no, point of contact.
gn¸mwn
Šlo go
-o n : adj, irrational.
‚nˆpali
: no, depth, height.
gramm ,
: adv, at once, at the same time, together.
anaplhrìw
—, — : vb, walk; perf, stand
grˆyw,
êgra[y
/f℄a, gègrafa,
ârayˆmhn
on, no, ob-
(of angle).
‚nastrèfw
: vb, turn upside down, convert (ratio); seestrèfw
tuse angle.
: vb, throw.
™ : no, turning upside down, conversion (of ratio).gwna,
‚nastrof ,
: adj, obtuse.
™ : no, base (of a triangle).
, it is necessary;êdei
. deØ
‚njufairèw
: vb, take away in turn; seeaÉrèw
-a -o n : pro, both.
: conj, for (explanatory).
: vb, set up; seeÒsthmi
‚n sthmi
.
dexw,
dèdei
êdeixa,
— : vb,
ga, ™ : no, proportion, (geometric) progression.
happen, become.
: vb, be reciprocally proportional; seepˆsqw
‚ntipˆsqw
go
-o n : adj, proportional.
-o no
, ™ : no, gnomon.
Šxwn

-ew
,
n : adv, inverse(ly).
™ : no, line.
‰pax
-o n : adj, ten-sided;tä dekag¸no
: vb, fill up.
: vb,
‰pan
‰pa
,
‰pasa,
âdexˆmhn,
dèxomai,
draw (a figure).
.
Špeiro
™ : no, angle.
‚penant
. dhlad
: vb, be far from, be away from; seeêqw
‚pèqw
: vb, be necessary;deØdèo n, being necessary.
.
: adj, without breadth. d¨lo
-è
‚plat
: vb, show,
Šni so
-o n : adj, unequal, uneven.
demonstrate.

-ew
,
‚pìdeixi
.
n : ind, one must show.
: vb, carry over, draw through, draw across; seeŠgw
. diˆgw
‚pokaj
sthmi
: vb, re-establish, restore; seeÒsthmi
-o no
, å : vb, axis.
™ : no, proof.
‚po lambˆnw
: vb, take from, subtract from, cut off from; seediag¸ni
: adv, once.
n, no, decagon.
lambˆnw
: adj, quite all, the whole.
‚po tèmnw
: vb, receive,
-o n : adj, diametrical;™diˆmetro
accept.
-o n : adj, infinite.
-at o
, tì
‚pì tmhma
on : ind, opposite.
™ : vb, piece cut off, apotome. diaresi

-ew
,
‚po tom ,
: ind, quite clear, manifest.
-h -o n : adj, clear.
: adv, manifestly.
™ : no, proof.
.
o
-o n : adj, diagonal.
.
: vb, leave an interval between.
: vb, cut off, subtend.
, no, diameter, di-
agonal.
: no, piece cut off, segment.
™ : no, division, separation.
540 grˆfw, deknumi, deiktèo deØxi dekag¸no
dèqomai, d dhlo nì ti dialepw diˆmetro
: conj, so (explanatory). —,dèdegmai, qa, dèdei gmai, gègrammai, âdèqjhn âde qjhn , it was necassary;