A history of Greek mathematics - Wilbourhall.org

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564 INDEX OF GREEK WORDS
fieofxiaKos, ' little altar ', properly a
wedge-shaped solid ii. 319, ii. 333
measurement of(Heron),ii. 332-3:
(= a(f)T]vio-Kos) of a certain kind
of solid number 107, ii. 240, ii.
315.
ycabaiaia — mensuration 16.
Ff co uerpovpfpa of Heron ii. 318, ii.
453.
yXco^i's- (arrow-head), Pythagorean
name for angle 106.
yva>f.L0VLKrj 18.
yp(£>pa>:>, gnomon, q.V. : Kara ypoopopa
= perpendicular 78, 175.
yvcopifxos, -op, known : ypcoptpop, an
alternative term for bsbope'vov,
given ii. 537.
in the recognized manner'
•yj/copiVco?, '
ii. 79.
ypapfia, ' figure ' or proposition, of
theorem of Eucl. 1. 47, 144.
ypappq : bid or e/c to>p ypappodP of
theoretical proof ii. 257, 258.
ypnpjjuKvs, -r], -dv, linear : used of
prime numbers 73 : ypap^iKtii
(Triardo-ets,
'
Considerations on
Curves ', by Demetrius ii. 359 :
ypappiKoos, graphically 93.
ypdfaiv, to draw or write on 159,
173: also to prove 203;?., 339.
bcbopepos, -t], -op, given : senses of,
ii. 537-8.
fciKvvvai, to prove 328.
btlv I bet brj 371.
tieurepos, secondary : of composite
numbers 72: bevrzpa pvpids (
—
10,000 2 ) 40.
biaf^r^s, compasses 308, ii. 540.
duupf'iv : buXovri, separando or dividendo
(in transformation of ratios)
386.
biaipeo-is : \6you, separation of a
ratio 386: nepl biaiptcreeop fiifi\iv ,
On divisions (of figures), by
Euclid 425.
bidarao-is, dimension : irep\ buto-rdcrecos-,
a work of Ptolemy ii. 295.
8ido-Tt)pa, interval 215 : distance
239.
diavXos, 'race-course': representations
of square and oblong numbers
as sums of terms 114.
bibdvai : btbopepop, given, senses ii.
537-8.
du^obiKos (tottos), a species of locus
ii. 185.
bCio-rdvai I
e(fy ep Siecrrcoy, extended
one way ii. 428.
SiKoXovpos, -op, twice-truncated 107.
dionrpa, dioptra, q.v.
blOTTTpiKr) 18.
diopi&iv : dicopiape'pT) ropr), Determinate
Section, by Apollonius
ii. 180.
biopicrpds, definition, delimitation :
two senses (1) a constituent part
of a theorem or problem 370,
(2) a statement of conditions of
possibility of a problem 303, 319-
20. 371, 377, 395,396,428, ii. 45-
6, ii. 129-32, ii. 168, ii. 230.
dnrXo'iaoTqs, double-equation (Diophantus)
ii. 468.
burXovs, -rj, -ouv : btTrXrj pvpids =
10,000 2 (Apollonius) 40: bmXfj
taorrjs, dnrXri 'laooais, double-equation
(Diophantus) ii. 468.
doxis, beam, a class of solid number
107, ii. 240.
bonds = bonis ii. 315.
dpaxiJLt], sign for, 31, 49, 50.
dvvapis : incommensurable side of
square containing a non-square
number of units of area 203-4 :
square or square root 209 ».,
297 : square of unknown quantity
(= x 1 )
(Diophantus) ii. 457-8:
dvi'dpa, in square ' ' 187, 308 :
rerpanXij 8 { pa pis = eighth power
(Egypt) ii. 546 ;
poiver in
mechanics 445.
dvpapodvvapis, square - square =
fourth power (Heron) ii. 458
fourth power of unknown (Diophantus)
ii. 458, ii. 546.
SvpapoKvfios, square-cube, = fifth
power of unknown (Diophantusj
ii. 458.
bwapoarop, dvpapo8vpanoo~T6p, &C.,
reciprocals of powers of unknown
(Diophantus) ii. 458.
dvvaadai, to be equivalent 'in square '
to, i.e.
to be the side of a square
equal to (a given area) :
305-6 n.
bvpnp,ivq
dvpaaTevopepr), Opp. to bvpape'pr)
305-6 n.
eldos, '
figure ' of a conic ii.
139: ' species' = particular power