-
1 μέρος
A share, portion, Pi.O.8.77, Hdt.1.145, Berl.Sitzb. 1927.167 ([place name] Cyrene), etc.;μέρος ἔχοντα Μουσᾶν B.3.71
;ἔχει δόμων μ. E.Ph. 483
;κτεάνων μ. A.Ag. 1574
(anap.);συμβαλέσθαι τὸ μ. D.41.11
; τὰ μ. τινῶν κομίζεσθαι ibid.;λαβεῖν τῆς μεθόδου τὸ μ. Arist. Pol. 1295a3
; of work put out to contract, allotment, IG22.463.7, 26.2 heritage, lot, destiny,μεθέξειν τάφου μ. A.Ag. 507
;ἔχετον κοινοῦ θανάτου μ. S.Ant. 147
(anap.); τοῦτο γὰρ.. σπάνιον μ. is a rare portion, E.Alc. 474 (lyr.); ἀπὸ μέρους προτιμᾶσθαι from considerations of rank or family, Th.2.37.II one's turn,ἐπείτε αὐτῆς μ. ἐγίνετο τῆς ἀπίξιος Hdt.3.69
;μ. ἑκατέρῳ νέμειν Id.2.173
; ὅταν ἥκῃ μ. ἔργων the turn or time for.., A.Ch. 827 (lyr.), cf. Pl.R. 540b; ἀγγέλου μ. his turn of duty as messenger, A.Ag. 291.2 with Preps., ἀνὰ μέρος in turn, successively, E.Ph. 478, Arist.Pol. 1287a17;κατὰ μέρος h.Merc.53
, Th.4.26, etc.; κατὰ μ. λέγειν severally, Pl.Tht. 157b; κατὰ μέρη ἄκουε ib. 182b; τὰ κατὰ μέρος the particulars, Phld.Sign. 23, D.1.22; τὸ κατὰ μ. ἄστρον ib.3.9; ἐν μέρεϊ in turn, Hdt.1.26, al.; κλῦθί νυν ἐν μ., ἀντάκουσον ἐν μ., A.Ch. 332 (lyr.), Eu. 198; by turns, in succession, Id.Ag. 332, 1192, Th.8.93;ἐν μ. καὶ ἐφεξῆς Pl. Lg. 819b
; ἐν τῷ μέρει in one's turn, Hdt.5.70, E.Or. 452, Ar.Ra.32, 497, Pl.Grg. 462a; ἐν τῷ μ. καὶ παρὰ τὸ μ. in and out of turn, X.An. 7.6.36; παρὰ μέρος in turn, by turns,ἄρχειν Plu.Fab.10
, cf. Ant. Lib.30.1, Nicom.Ar.1.8.10, Iamb.in Nic.p.33 P.; [ἡ ψυχὴ] παρὰ μ. ἐν τῇ γενέσει γίνεται καὶ ἐν τοῖς θεοῖς ἐστιν Procl.Inst. 206
(but also, partially, Alciphr.3.66).III the part one takes in a thing,μέτεστι χὑμῖν τῶν πεπραγμένων μ. E.IT 1299
; ὑμέτερον μ. [ἐστί] c. inf., Pl.La. 180a.2 freq. in periphrases, τοὐμὸν μέρος, τὸ σὸν μ., my or thy part, i.e. simply I or me, thou or thee,ὅσον τὸ σὸν μ. S.OT 1509
, cf. Ant. 1062, Pl.Cri. 45d: abs. as Adv., τοὐμὸν μ. as to me,οὐ καμῇ τοὐμὸν μ. S.Tr. 1215
, cf. E.Heracl. 678; τὸ σὸν μέρος as to thee, S.OC 1366;τοὐκείνου μ. E.Hec. 989
: rarely,κατὰ τὸ σὸν μ. Pl.Ep. 328e
.IV part, opp. the whole,ὡρέων τρίτατον μ. h.Cer. 399
, etc.; τρίτον κασιγνητᾶν μ., i. e. one of three sisters, Pi.P.12.11;μέρει τινὶ τῶν βαρβάρων Th.1.1
; τὰ δύο μ. two-thirds, ib. 104, Aeschin. 3.143, D.59.101;τρία μέρη.., τὸ δὲ τέταρτον Nic.Dam.130.17
J.; οὐδὲν ἂν μέρος οὖσαι φανεῖεν τῶν .. no fraction of.., i. e. infinitesimal compared with.., Isoc.5.43, cf.12.54; ὅσα ἄλλα μ. ἐντὸς τοῦ Ἴστρου parts of the country, regions, Th.2.96, cf. 4.98; ξυγκαταδουλοῦν.. τὸ τῆς θαλάσσης μ., i. e. the sea as their part of the business, Id.8.46: hence, branch, business, matter, Men.Epit.17, Pk. 107, Plb.1.4.2, 1.20.8, al., PRyl. 127 (i A.D.);τὰ τοῦ σώματος μέλη καὶ μ. Pl.Lg. 795e
; division of an army, X.An.6.4.23, etc.; class or party, Th.2.37, D.18.292; of the factions in the circus,πρασίνων μ. POxy.145.2
(vi A.D.); party in a contract or lawsuit, BGU168.24 (ii A.D.), PRein.44.34 (ii A.D.); caste, Str.15.1.39:—special uses, in Geom., direction, ἐπὶ θάτερον μ. interpol. in Archim.Aequil.1.13, cf. Euc.1.27, al.: Arith., submultiple, Id.7 Def.3, 4; τὰ μ. the denominators of fractions, Hero *Stereom.2.14: Gramm., μ. τῆς λέξεως part of speech, Arist.Po. 1456b20, D.H.Comp. 2: more freq.μ. λόγου D.T.634.4
, A.D.Pron.4.6, al.; μ. λόγου, also, = word, S.E.M.1.159, Heph.1.4 (v. λόγος IX. 3 c); section of a document, Mitteis Chr.28.30 (iii B. C.), etc.2 abs. as Adv., μέρος τι in part, Th.4.30, etc.; μέρος μέν τι.., μέρος δέ τι .. X.Eq.1.12; τὸ πλεῖστον μ. for the most part, D.S.22.10.b with Preps.,κατά τι μέρος Pl.Lg. 757e
;κατὰ τὸ πολὺ μ. Id.Ti. 86d
; ἐκ μέρους in part,γινώσκομεν 1 Ep.Cor.13.9
(but ἐκ μ. τινός by the side of, LXX 1 Ki. 6.8; ἐκ μ. τῶν ὁρίων ib.Nu.20.16; ἐκ τοῦ ἑνὸς μέρους ib.8.2); ἐκ τοῦ πλείστου μ. for the most part, Hdn.8.2.4; ἀπὸ μέρους in part, Antip.Stoic.3.249, BGU1201.15 (i A.D.), 2 Ep.Cor.2.5;ἐπὶ μέρους Luc.
Bis Acc.2; τὰς ἐπὶ μέρους γράφειν πράξεις special histories, Plb. 7.7.6;αἱ ἐπὶ μ. συντάξεις Id.3.32.10
; πρὸς μέρος in proportion, Th. 6.22, D.36.32.3 ἐν μέρει τινὸς τιθέναι, etc., to put in the class of.., consider as so and so, ;οὐ τίθημ' ἐν ἀδικήματος μ. D.23.148
; alsoἐν τεκμηρίου μ. ποιεῖσθαι τἀδίκημα Id.44.50
; ἐν οὐδενὸς εἶναι μ. to be as no one, Id.2.18;μήτ' ἐν ἀνθρώπου μ. μήτ' ἐν θεοῦ ζῆν Alex.240.2
; ἐν προσθήκης μ. as an appendage, D.11.8;ἐν ὑπηρέτου καὶ προσθήκης μ. γίγνεσθαι Id.3.31
;ἐν χάριτος μ. Id.21.165
; τοῦτ' ἐν εὐεργεσίας ἀριθμήσει μ. ib.166;ἐν ἰδιώτου μ. διαγαγεῖν Isoc.9.24
;ὡς ἐν παιδιᾶς μ. Pl.R. 424d
; alsoεἰς εὐεργεσίας μέρος καταθέσθαι D.23.17
.4 in local sense, district, POxy.2113.25 (iv A.D.).5 in Neo-Platonism, by way of species or element,ἐν μέρει καὶ ὡς στοιχεῖον Dam.Pr. 193
; οὕτω ὁ μέγας Ἰάμβλιχος ἐνόησεν τὸ ἓν ὂν ἐν μέρει ἑκάτερον ib. 176;πάντα μὲν ἅμα, ἐν μέρει δὲ ἕκαστον Plot.3.6.18
.
См. также в других словарях:
denominators — de·nom·i·na·tor || dɪ nÉ’mɪneɪtÉ™ n. number below the line in a fraction (Mathematics); shared characteristic … English contemporary dictionary
Egyptian fraction — An Egyptian fraction is the sum of distinct unit fractions, such as frac{1}{2}+ frac{1}{3}+ frac{1}{16}. That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators… … Wikipedia
Continued fraction — Finite continued fraction, where a0 is an integer, any other ai are positive integers, and n is a non negative integer. In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the… … Wikipedia
Generalized continued fraction — In analysis, a generalized continued fraction is a generalization of regular continued fractions in canonical form in which the partial numerators and the partial denominators can assume arbitrary real or complex values.A generalized continued… … Wikipedia
Swami Bharati Krishna Tirtha's Vedic mathematics — For the actual mathematics of the Vedic period, see the articles on Sulba Sūtras and Indian mathematics.Swami Bharati Krishna Tirtha s Vedic mathematics is a system of mathematics consisting of a list of 16 basic sūtras, or aphorisms. They were… … Wikipedia
Lowest common denominator — This article is about mathematics. For computers, see Lowest common denominator (computers). In mathematics, the lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of… … Wikipedia
Fraction (mathematics) — A cake with one quarter removed. The remaining three quarters are shown. Dotted lines indicate where the cake may be cut in order to divide it into equal parts. Each quarter of the cake is denoted by the fraction 1/4. A fraction (from Latin:… … Wikipedia
Liber Abaci — (1202, also spelled as Liber Abbaci) is an historic book on arithmetic by Leonardo of Pisa, known later by his nickname Fibonacci. Its title has two common translations, The Book of the Abacus or The Book of Calculation . In this work, Fibonacci… … Wikipedia
Greedy algorithm for Egyptian fractions — In mathematics, an Egyptian fraction is a representation of an irreducible fraction as a sum of unit fractions, as e.g. 5/6 = 1/2 + 1/3. As the name indicates, these representations have been used as long ago as ancient Egypt, but the first… … Wikipedia
Convergence problem — In the analytic theory of continued fractions, the convergence problem is the determination of conditions on the partial numerators ai and partial denominators bi that are sufficient to guarantee the convergence of the continued fraction This… … Wikipedia
Periodic continued fraction — In mathematics, an infinite periodic continued fraction is a continued fraction that can be placed in the form:x = a 0 + cfrac{1}{a 1 + cfrac{1}{a 2 + cfrac{ddots}{quadddotsquad a k + cfrac{1}{a {k+1} + cfrac{ddots}{quadddotsquad a {k+m 1} +… … Wikipedia