Numeral prefix

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Semi-
)

Numeral or number prefixes are prefixes derived from numerals or occasionally other numbers. In English and many other languages, they are used to coin numerous series of words. For example:

In many European languages there are two principal systems, taken from Latin and Greek, each with several subsystems; in addition, Sanskrit occupies a marginal position.[B] There is also an international set of metric prefixes, which are used in the world's standard measurement system; many or most of the prefixes are distorted forms the words and roots shown below.[C]

Table of number prefixes in English

In the following prefixes, a final vowel is normally dropped before a root that begins with a vowel, with the exceptions of bi-, which is extended to bis- before a vowel; among the other monosyllables, du-, di-, dvi-, and tri-, never vary.

Words in the cardinal catgegory are

ordinal numbers
such as the English first, second, third, which specify position of items in a sequence. In Latin and Greek, the ordinal forms are also used for fractions for amounts higher than 2; only the fraction  1 / 2 has special forms.

The same suffix may be used with more than one category of number, take for example the following:

Ordinal
numbers
primary secondary tertiary quartary
[citation needed]
quintary sextary septimary octavary nonary decimary
Distributive
numbers
singulary
[citation needed]
binary ternary,
trinary
quaternary quinary senary septenary octonary novenary denary

For the hundreds, there are competing forms: Those in -gent-, from the original Latin, and those in -cent-, derived from centi-, etc. plus the prefixes for 1 through 9 .

Many of the items in the following tables are not in general use, but may rather be regarded as coinages by individuals. In scientific contexts, either

SI prefixes
are used to express very large or very small numbers, and not unwieldy prefixes.

Number prefixes in English
Number Latin
derived
Greek[D]
derived
Sanskrit[B]
Cardinal Multiple Distributive Ordinal Cardinal Multiple,
proportional, or
quantitative
Ordinal
0 nul·li- nul·les·im- mi·den-, ou·den-
me·de·pro·to-, ou·de·pro·to- shūn·ya-
1/ 12  unc·i-[1]
Greek uses ordinals to name fractions; (i.e. do·dec·a·to-)
 1 / 8 oct·an·t-
As above; og·do·ö
 1 / 6 sex·tan·t-
As above; hec·to
 1 / 5 quin·tan·t-
As above; pemp·to–
 1 / 4 qua·dran·t-
As above; tet·ar·to–
 1 / 3 tri·ent-
As above; tri·to–
 1 / 2 se·mi-
de·mi-[E]
he·mi- ("half")[a]
 3 / 4 do·dran·t-
1 u·ni-[b]
sol-[F][c]
sim-[G] sin·gul- prim- mon·o- ("one", "alone")[d]
ho·lo- ("entire", "full")[e]
hen-[H] rare
mon·o- ("one, alone")
hap·ax- ("once")
hap·lo-[H] ("single")
mon·ad- ("one of a kind", "unique", "unit")
pro·t-[2][f]
pro·tai·o- ("[every] first day")
ek·a- [3]
1 + 1 / 4
quas·qui-[g]
1 + 1 / 2
se·squi-[h]
2 du- bi-, bis-[i] bin- second- di-, dy-,[4] du·o-, dy·o- dis-[5] ("twice") common
dy·a·kis- ("twice") rare
di·plo- ("double")
dy·ad- ("two of a
kind
")
deu·ter-[6][j]
deu·ter·ai·o- ("[every] second day")
dvi-[7]
2 + 1 / 2
sem·i·quin-[k]
3 tri-[l] ter- ter·n-, tri·n- ter·ti- tri-[m] tris-[8] ("thrice") common
tri·a·kis- ("thrice") rare
tri·plo- ("triple")
tri·ad- ("three of a kind")
tri·t-[9] ("third")[n]
tri·tai·o- ("[every] third day")
tri-[10]
4 quad·ri-, quad·ru-[I] quat·er-[12] quat·er·n-[13] quart-[14] tet·ra-, tes·sar·a- tet·ra·kis- ("four times")
tet·ra·plo- ("quadruple")
tet·ra·d- ("four of a kind")[o]
tet·ar·to- ("fourth")
tet·ar·tai·o-
("[every] fourth day")
ca·tur-[15]
5 quin·que-[16]
quin-[17] quin·t-[18] pent·a- pent·a·kis-
pent·a·plo-
pent·ad-[p]
pem·pt-[19]
pem·ptai·o-
pañ·ca-[20]
6 sex·a-[J]
sen-[21] sext-[22] hex·a-[23] hex·a·kis-
hex·a·plo-
hexad-[q]
hect-[24]
hect·ai·o-
ṣaṭ-[25]
7 sept·em-, sep·ti-[r] sep·ten-[26] sept·im- hept·a-[27][s] hept·a·kis-
hept·a·plo-
hept·ad-
heb·do·mo- ("seventh")
heb·do·ma·io- ("seventh day")[t]
sapt·a-[28]
8 oct·o-[u]
oct·on-[29] oct·av-[30] octo-[v] oct·a·kis-
oct·a·plo-
oct·ad-[w]
og·do·ö-
og·do·ai·o-
aṣṭ·a-
9 nov·em-[x] nov·en- non·a- en·ne·a-[31] en·ne·a·kis-
en·ne·a·plo-
en·ne·a·d-
en·at-[32]
en·at·ai·o-
nav·a-
10 dec·em-, dec-[y] den-[33] dec·im-[34] dec·a-[35][z] dec·a·kis-
dec·a·plo-
dec·ad-
dec·a·t-[36]
dec·a·tai·o-
da·sha-
11 un·dec- un·den-[37] un·dec·im-[38] hen·dec·a-[39] hen·dec·a/kis/plo/d- hen·decat-[40]/o/ai·o- e·ka·da·sha-
12 du·o·dec- du·o·den-[aa] du·o·dec·im- do·dec·a-[41][ab] do·dec·a/kis/plo/d- do·dec·at-[42]/o/aio- dva·da·sha-
13 tre·dec- tre·den- tre·dec·im- tri·a(kai)dec·a-, dec·a·tri·a-[ac] tris(kai)dec·a·kis-,
dec·a·tri·a/kis/plo/d-
dec·a·to·tri·to-
etc.
tra·yo·da·sha-
14 quat·tu·or·dec- quat·tu·or·den- quat·tu·or·dec·im-
quart·a·dec·im-
tes·sar·a(kai)dec·a-, dec·a·tet·ta·ra-, dec·a·tes·sar·a- te·tra(kai)dec·a·kis-,
dec·a·te·tra/kis/plo/d-[ad]
dec·a·to·tet·ar·to- cha·tur·da·sha-
15 quin·qua·dec-, quin·dec-[43] quin·den-[44] quin·decim-[45]
quin·ta·dec·im-
pente(kai)dec·a-, deca·pen·te- penta(kai)dec·a·kis-,
deca·pen·ta·kis- etc.
dec·a·to·pem·pto- pan·cha·dash·a-
16 se·dec-,[46] sex·dec-

(but hybrid hex·a·dec·im·al)

se·de·n- se·dec·im-
sex·ta·dec·im-
hexa(kai)dec·a-,
hek·kai·dec·a-,
dec·a·hex-
hexa(kai)dec·a·kis-,
dec·a·hex·a·kis- etc.
dec·a·to·hec·to- sho·da·sha-
17 sep·ten·dec- sep·ten·den- sep·ten·dec·im-
sep·ti·ma·dec·im-
hepta(kai)dec·a-,
dec·a·hep·ta-
hep·ta(kai)dec·a·kis-,
dec·a·hep·ta·kis- etc.
dec·a·to·heb·do·mo- sap·ta·da·sha-
18 oct·o·dec- oct·o·den- oct·o·dec·im-
du·o·de·vi·ces·im-
oct·o(kai)dec·a-,
dec·a·oc·to-
oct·a(kai)dec·a·kis-,
dec·a·oct·a·kis- etc.
dec·a·to·og·do·ö- ash·ta·da·sha-
19 nov·em·dec-, nov·en·dec-
un·de·vi·gin·ti-
nov·em·den-
nov·en·den-
nov·em·dec·im-
nov·en·dec·im-
un·dev·is·im-
en·ne·a(kai)dec·a-, dec·a·en·ne·a- en·ne·a(kai)dec·a·kis-,
deca·en·ne·a·kis- etc.
dec·a·to·en·a·to- na·va·da·sha-
20[K] vi·gin·ti- vi·cen-, vi·gen- vi·ges·im- (e)i·cos·i- ei·cos·a/kis/plo/d-[ae] ei·cos·to- vim·sha·ti-
22 du·o·vi·gin·t- (e)i·cos·i·dy·o-, dy·o(e)i·cos·i- rare[af] (e)i·cos·i·dy·a·kis-
(e)i·cos·i·di·plo-
(e)i·cos·i·dy·ad-
ei·cos·to·deu·ter·o-
24 quat·tu·or·vig·in·t- (e)i·cos·i·tet·tar·a-, (e)i·cos·i·kai·tet·tar·a-
rare
(e)i·cos·i·te·tra·kis-
(e)i·cos·i·te·tra·plo-
(e)i·cos·i·te·tra·d-[ag]
ei·cos·to·te·tar·to- cha·tur·vim·sha·ti-
25 quin·vig·in·t- (e)i·cos·i·pen·te-[ah] (e)i·cos·i·pen·ta·kis-
(e)i·cos·i·pen·ta·plo-
(e)i·cos·i·pent·ad-
ei·cos·to·pem·pto-
30 tri·gin·ti- tri·cen- tri·ges·im- tri·a·con·ta- tri·a·con·ta·kis- etc.[ai] tri·a·cos·to- trim·shat-
31 un·tri·gin·ti- tri·a·con·ta·hen- tri·a·con·ta·hen·a·kis-
tri·a·con·ta·hen·a·plo-
tri·a·con·ta·hen·ad-
tri·a·cos·to·pro·to-
tri·a·cos·to·pro·tai·o-
40 quad·ra·gin·ti- quad·ra·gen- quad·ra·ges·im- tet·tar·a·con·ta-,
tes·sa·ra·con·ta-
tet·tar·a·con·ta·kis-,
tes·sar·a·con·ta·kis- etc.
tes·sa·ra·cos·to- chat·va·rim·shat-
50 quin·qua·gin·ti-[47] quin·qua·gen-[48] quin·qua·ges·im-[49] pen·te·con·ta-[aj] pen·te·con·ta·kis- etc. pen·te·cos·to-[ak] pan·cha·shat-
60 sex·a·gin·ti- sex·a·gen- sex·a·ges·im- hex·e·con·ta- hex·e·con·ta·kis- etc. hex·e·cos·to- shas·ti-
70 sep·tu·a·gin·ti-[al] sep·tu·a·gen- sep·tu·a·ges·im-[50] heb·do·me·con·ta- heb·do·me·con·ta·kis- etc. heb·do·me·cos·to- sap·ta·ti-
80 oct·o·gin·t- oct·o·gen- oct·o·ges·im- og·do·ë·con·ta- og·do·ë·con·ta·kis- etc. og·do·ë·cos·to- a·shi·ti-
90 non·a·gin·t- non·a·gen- non·a·ges·im- en·e·ne·con·ta- en·e·ne·con·ta·kis- etc. en·e·ne·cos·to- nav·a·ti-
100 centi- cen·ten- cen·tes·im- hec·a·to(n)- he·ca·ton·ta·kis-
hundred times
hec·a·ton·ta·plo-
hundred-multiple
hec·a·ton·tad-
hundred of a kind
also abbreviated in
hec[a·ton]tad-
hec·a·to·sto-
hundredth
hec·a·to·stai·o-
the hundredth day
sha·ta–
120 vi·gin·ti·cen·ti-
hec·a·to·n(e)i·cos·i- hec·a·to·n(e)i·cos·a·kis- etc. hec·a·tos·to·e·i·cos·to-
150
ses·qui·cen·ten-[am]
200 du·cen·ti- du·cen-, bi·cen·ten- du·cen·tes·im- di·a·cos·i·a- di·a·cos·a·kis- etc. di·a·cos·i·o·sto-
250
sem·i·quin·cen·ten-[an]
300 tre·cen·ti- tre·cen-, ter·cen·ten-, tri·cen·ten- tre·cen·tesim- tri·a·cos·i·a- etc. tri·a·cos·a·kis-
tri·a·cos·a·plo-
tri·a·cos·ad-
tri·a·cos·i·o·sto-
400 qua·drin·gen·ti- qua·drin·gen-, qua·ter·cen·ten-, qua·dri·cen·ten- qua·drin·gen·tes·im- te·tra·cos·ia- te·tra·cos·a·kis- etc. te·tra·cos·i·o·sto-
500 quin·gen·t-,[51] quin·cent-[52] quingen-,[53] quin·gen·ten-, quin·cen·ten- quin·gen·tes·im-[54] penta·cos·i·a- pen·ta·cos·a·kis- etc. pent·a·cos·i·o·sto-
600 ses·cen·ti-, sex·cen·ti- ses·cen-, sex·cen·ten- ses·cen·tes·im- hex·a·cos·i·a- hex·a·co·sa·kis- etc. hex·a·cos·i·o·sto-
700 sept·in·gen·ti- sept·in·gen-, sept·in·gen·ten-, sept·cen·ten- sept·in·gen·tes·im- hept·a·cos·i·a- hept·a·cos·a·kis- etc. hept·a·cos·i·os·to-
800 oct·in·gen·ti- oct·in·gen-, oct·in·gen·ten-, oct·o·cen·ten- oct·in·gen·tes·im- oct·a·cos·i·a- oct·a·cos·a·kis- etc. oct·a·cos·i·o·sto-
900 non·gen·ti- non·gen- non·gen·tes·im- en·na·cos·i-[55]
derived from
en(n)ia·cos·i·a-,
a pejoration of
en·ne·a·cos·i·a-
en·ne·a·cos·a·kis- etc. en·a·cos·i·os·t-,[56]
alt. spelling
en(n)i·a·cos·i·os·t(o)-
a pejoration of
en·ne·a·cos·i·os·to-
1000 milli- mill·en- mill·es·im- khi·li-,[57] kilo- khil·i·a·kis-
khi·li·a·plo-
chiliad
-
chi·li·os·t-[58] sa·has·ra–
2000 duo·mill·i
dis·khi·li-[59] dis·khil·i·a·kis- etc. dis·khi·li·os·to-
3000 tre·mill·i- tris·khi·li-[60]
tris·khi·li·os·t-[61]
5000 quin·mil·li– pen·ta·cis·khi·li-[62]
10000 dec·a·mil·li– myria-,[63][ao] dec·a·kis·khil·i·a- myr·i·a·kis-
myr·i·a·plo-
myriad-
dec·a·kis·khil·i·a·kis- etc.
myr·i·as·t-,[64]
dec·a·kis·khil·i·os·to-
a·yu·ta–
80000 oct·o·gint·mill·i– oct·a·cis·myr·i-[65]
100000
or
105
cen·ti·mill·i– dec·a·kis·myr·i·a-, hec·a·ton·ta·kis·khil·i·a- dec·a·kis·myr·i·a·kis-,
he·ca·ton·ta·kis·khil·i·a·kis-
etc. lak·sha–
1000000
or
106
hec·a·tom·myr·i·a-
(see also mega-)
hec·a·tom·myr·i·a·kis-
("a million times")
hec·a·tom·myr·i·a·plo-
(million-multiple)
hec·a·tom·myr·i·a·d-
(a million of a kind)
hec·a·tom·myr·i·os·to-
(ranked millionth;
also one piece of
a million [fraction] see above in
fractions)

hec·a·tom·myr·i·os·tai·o-
("the millionth day")
in·fin·i-
a·pe·i·ro-
Few pau·ci-[ap]
oli·go-[aq]
Many
(more than 1)
mul·ti-, plur·i-[ar]
poly-[as] poll·a·kis- (many times)
poll·a·plo- (multiple)
ple·thos- (many of a kind)[at]
poll·os·to-
(rank/order of many [manieth])
ba·hut–
Examples

Occurrences

  • Numerical prefixes occur in 19th-, 20th-, and 21st-century coinages, mainly the terms that are used in relation to or that are the names of technological innovations, such as hexadecimal and bicycle. Also used in medals that commemorate an anniversary, such as sesquicentennial (150 years), centennial (100 years), or bicentennial (200 years).
  • They occur in constructed words such as systematic names. Systematic names use numerical prefixes derived from Greek, with one principal exception, nona-.
  • They occur as prefixes to units of measure in the
    SI prefix
    .
  • They occur as prefixes to units of computer data. See
    binary prefixes
    .
  • They occur in words in the same languages as the original number word, and their respective derivatives. (Strictly speaking, some of the common citations of these occurrences are not in fact occurrences of the prefixes. For example: millennium is not formed from milli-, but is in fact derived from the same shared Latin root – mille.)

Because of the common inheritance of Greek and Latin roots across the

borrowing
of 19th and 20th century coinages into many languages, the same numerical prefixes occur in many languages.

Numerical prefixes are not restricted to denoting integers. Some of the SI prefixes denote negative powers of 10, i.e. division by a multiple of 10 rather than multiplication by it. Several common-use numerical prefixes denote

vulgar fractions
.

Words containing non-technical numerical prefixes are usually not hyphenated. This is not an absolute rule, however, and there are exceptions (for example:

SI prefixes
and binary prefixes are not hyphenated, by definition.

Nonetheless, for clarity, dictionaries list numerical prefixes in hyphenated form, to distinguish the prefixes from words with the same spellings (such as duo- and duo).

Several technical numerical prefixes are not derived from words for numbers. (mega- is not derived from a number word, for example.) Similarly, some are only derived from words for numbers inasmuch as they are word play. (Peta- is word play on penta-, for example. See its etymology for details.)

The root language of a numerical prefix need not be related to the root language of the word that it prefixes. Some words comprising numerical prefixes are hybrid words.

In certain classes of systematic names, there are a few other exceptions to the rule of using Greek-derived numerical prefixes. The IUPAC nomenclature of organic chemistry, for example, uses the numerical prefixes derived from Greek, except for the prefix for 9 (as mentioned) and the prefixes from 1 to 4 (meth-, eth-, prop-, and but-), which are not derived from words for numbers. These prefixes were invented by the IUPAC, deriving them from the pre-existing names for several compounds that it was intended to preserve in the new system: methane (via methyl, which is in turn from the Greek word for wine), ethane (from ethyl coined by Justus von Liebig in 1834), propane (from propionic, which is in turn from pro- and the Greek word for fat), and butane (from butyl, which is in turn from butyric, which is in turn from the Latin word for butter).

Cardinal Latin series

Distributive Latin series

  • unary, binary, trinary, quaternary, quinary, senary, ... vicenary ... centenary ...
  • denarian, vicenarian, tricenarian, quadragenarian, quinquagenarian, sexagenarian, septuagenarian, octogenarian, nonagenarian, centenarian, ... millenarian

Greek series

Mixed language series

See also

Notes

  1. Roman Calendar
    .
  2. ^ a b See Mendeleev's predicted elements for the most common use of Sanskrit numerical prefixes.
  3. pico-
    " for "small") rather than number words.
  4. ^ The numbering adjectives in Greek are inflectional for grammatical gender (i.e. there is monos [masculine for single/alone], mone [feminine for single/alone] and monon [neuter for single/alone]), grammatical case (i.e. nominative, genitive, etc.) and grammatical number (singular/plural). The prefixes are produced from the default grammatical type (masculine/nominative/singular).
  5. ^ Demi- is French, from Latin di·mi·di·um.
  6. ^ sol (sōlus) is more appropriately a Latin root for "only", "oneself".
  7. ^ sim- (sin-) is found in the words simplex, simple.
  8. ^
    haploid
    .
  9. ^
    assimilation, are unclear.[11]
    In particular, quad·ri- has the alternate form quad·ru- before p in some Latin words, such as quad·ru·ple.
  10. ^ Sometimes Greek hex·a- is used in Latin compounds, such as hexadecimal, due to taboo avoidance with the English word sex.
  11. ^ For Latinate 21, 22, etc., the pattern for the teens is followed: un·vigint-, duovigint-, etc. For higher numbers, the reverse order may be found: 36 is tri·ginti·sex-. For Greek, the word kai ("and") is used: i·cosi·kai·hena-, icosi·kai·di-, penta·conta·kai·penta-, etc. In these and in the tens, the kai is frequently omitted, though not in triskaidekaphobia. (The inconsistency of tris·kai·deka·phobia with the table above is explained by the fact that the Greek letter kappa can be transliterated either "c" or "k".) In chemical nomenclature, 11 is generally mixed Latin-Greek undeca-, and the 20s are based on -cos-, for example tri·cos- for 23.
  12. ^ In organic chemistry, most prefixes are Greek but the prefixes for 9 and 11 are Latin.

References

  1. Perseus Project
    .
  2. Perseus Project
  3. OCLC 685239912
    .
  4. ^ δύο
  5. ^ δίς
  6. ^ δεύτερος
  7. OCLC 685239912
    .
  8. ^ τρίς
  9. ^ τρίτος
  10. OCLC 685239912
    .
  11. ^ Sihler, Andrew. New Comparative Grammar of Greek and Latin. p. 412.
    Buck, Carl Darling. Comparative Grammar of Greek and Latin.
  12. ^ "quăter". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  13. ^ "quăterni". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  14. ^ "quartus". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  15. OCLC 685239912
    .
  16. ^ "quinque". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  17. ^ "quīni". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  18. ^ "quintus". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  19. ^ πέμπτος
  20. OCLC 685239912
    .
  21. ^ "sēni". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  22. ^ "sextus". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
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  25. OCLC 685239912
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  26. ^ "septēni". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  27. ^ ἑπτά
  28. OCLC 685239912
    .
  29. ^ "octōni". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  30. ^ "octāvus". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  31. ^ ἐννέα
  32. ^ ἔνατος
  33. ^ "dēni". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  34. ^ "dĕcĭmus". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  35. ^ δέκα
  36. ^ δέκατος
  37. ^ "undēni". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  38. ^ "undĕcĭmus". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  39. ^ ἕνδεκα
  40. ^ ἑνδέκατος
  41. ^ δώδεκα
  42. ^ δωδέκατος
  43. ^ "quindĕcim". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  44. ^ "quindēni". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  45. ^ "quindĕcĭmus". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  46. ^ "sēdĕcim". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  47. ^ "quinquāginta". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  48. ^ "quinquāgēni". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  49. ^ "quinquāgēsĭmus". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
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  51. ^ "quingenti". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  52. ^ "quincenti". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  53. ^ "quingēni". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  54. ^ "quingentēsĭmus". Archived from the original on 14 October 2012. Retrieved 14 May 2011.
  55. ^ ἐννακόσιοι
  56. ^ ἐνακοσιοστός
  57. ^ χίλιοι
  58. ^ χιλιοστός
  59. ^ δισχίλιοι
  60. ^ τρισχίλιοι
  61. ^ τρισχιλιοστός
  62. ^ πεντακισχίλιοι
  63. ^ μυρίος
  64. ^ μυριαστός
  65. ^ ὀκτακισμύριοι

Bibliography

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