Page 541 - Euclid's Elements of Geometry

ST EW diairèw diˆsthma diafèrw ddwmi, dimoro
diplasiˆzw diplˆsi diplaswn diploÜ
d qa di qoroma, duˆ
-ˆdo
, dÔnamai dÔnami dunatì
d
: adv, twice. : adj, of him/her/it/self, his/her/its/own. ânppt ântì
áxˆgwno
áxaplˆsi áx¨
êxwjen âpˆnw âpaf , âpe âpeid per âpizeÔgnÜmi, âpi tˆssw âpifˆneia, êpomai êrqomai, êsqat âp tri to
-o n : adj, one and a third times. n, no, hexagon. :
o
-h -o n, adj, separatedenperièqw
: vb, encompass; seeêqw
: vb, divide (in two);diarejènt
(ratio); seeaÉrèw
w : seeâmppt
-at o
, tì
: vb, differ; seefèrw
-o n : adj, hexagonal;tä áxˆgwno
dèdomai,
dèdwka,
d¸sw,
êdwka,
âdìjhn
GREEK–ENGLISH LEXICON
.
-¨ -oÜn
.
w.
: no, radius.
: pre + gen, inside, interior, within, internal.
âpizeÔxw,
âpèzeuxa
, —,âpèzeugmai,
âpèzeÔqjhn
.
: vb, give.
o
-a -o n : adj, sixfold.
™ : no, the number two, dyad. âpilo
gzomai
-o n : adj, two-thirds.
: adv, in order, successively, consecutively.
: vb, be able, be capable, generate, square, be whenâpi noèw
: vb, double.
squared;dunamènh,
: adv, outside, extrinsic.
™, no, square-root (of area)—i.e., strai-âpipèdo
-o n : adj, level, flat, plane;tä âpipèdo
o
-a -o n : adj, double, twofold.
: adv, above.
omai
™ : no, power (usually 2nd power when used inâpi skèpt

-ew
,
-o n : adj, double, twofold.
™ : no, point of contact.
mathematical sence, hence), square. âp skeyi

-ew
,
: adj, double.
: conj, since (causal).
: vb, put upon, enjoin;tä âpi taqjèn
prescribed; seetˆssw
: ind, inasmuch as, seeing that.
dwdekˆedro
: adv, in two, in half.
áaut oÜ -¨
-oÜ
™ : no, point of bisection.
vb, join (by a line).
âggwn
: vb, conclude.
âggrˆfw
: vb, inscribe; seegrˆfw
: vb, think of, contrive.
âleÔsomai,
n, âl luja
ªljo
tì
-eo
,
eÚdo
n, no, plane.
ght-line whose square is equal to a given area.
eÊkosˆedro
: vb, investigate.
: adj, oblong;tä âterìmhke
-e
eÒrw ârÀ eÚpo n, eÒrhka,
/erèw,
eÒrhmai,
/lègw,
ârr jhn
™ : no, inspection, investigation.
say, speak; per pass part,eirhmèno
-h -o n, adj, said, afore-étero
, no, the (thing)
- -ì n : adj, possible.
.
. . .eÒ
eÒ te te
-o n : adj, twelve-sided.
-o n : adj, rectilinear;tä eÎjÔgrammo
ékast
™ : no, surface.
ákatèro
: adj, straight;™eÎjeØa
, no, straight-line;âp>
-o n : adj, nearer, nearest.
: vb, follow.
-eØa -ÔeÎjeØa
âkbˆllw
: vb, produce (a line); seebˆllw
.
eÕrhmai,
, —, — : vb, come, go.
hÝro n, eÕreka,
eÍr skw,
eÍrèjhn
âkjèw
: no, figure, form, shape.
o
-h -o n : adj, outermost, uttermost, last.
w : vb, bind to; mid, touch;™áfapt
êkkeimai
: vb, be set out, be taken; seekeØmai
. âfˆpt
-o n : adj, twenty-sided.
, no, rectangle.
âkt jhmi
: vb, set out; seet jhmi
: vb,
âfarmìsw,
âf rmosa,
âf moka,
âf mìsjhn
âf mosmai,
-a -o n : adj, other (of two).
âktì
mentioned.
âlˆsswn/âlˆtt
: par, yet, still, besides.
: ind, either . . . or.
n, no, recti-
âlˆqi
: vb, set, stand, place upon; seeÒsthmi
o
-h -o n : pro, each, every one.
linear figure.
âllepw
éxw,
-èsqhmai
êsqo n, êsqhka,
-a -o n : pro, each (of two).
âmppt
, —,™g jhn
™ghmai
™ghsˆmhn,
™g somai,
, in a straight-line, straight-on.
.
êmprosjen
: vb, find.
: vb, set out.
ânallˆx
¡xw
, no, tangent;
ai
: vb, insert; perf indic pass 3rd sg,ân rmost
ânarmìzw
omènh‰pt w.
see
on, tì
.
ândèqomai
: pre + gen, outside, external.
: vb, coincide; pass, be applied.
éneken
wn -o n : adj, less, lesser.
: adv, in order, adjacent.
o
-a -o n : adj, nine-fold, nine-times. ¡mi su
-eia
times.-u
ânnaplˆsi
st o
-h -o n : adj, least.
.
=¢ +per
ênnoia,
: vb, be less than, fall short of.
, — : vb, have.
w : vb, meet (of lines), fall on; seeppt w.
: vb, lead.
: adv, in front.
: ind, already, now.
: adv, alternate(ly).
, —, —, —, — : vb, have come, be present.
.
: no, semi-circle.
: vb, admit, allow.
: ind, on account of, for the sake of.
: adj, half.
™ : no, notion.
: conj, than, than indeed.
541 âterìmhkh
êti eÎjÔgrammo
eÎjÔ
eÍr skw, âfarmìzw, âfex¨
âf sthmi êqw, ™gèomai, ¢dh ¡kw, ™mikÔkli ¢per ™miì li o
-a -o n : adj, containing one and a half, one and a half