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1 infinitesimal volume element
Англо-русский словарь промышленной и научной лексики > infinitesimal volume element
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2 бесконечно малый элемент
1) Engineering: infinitesimal length (цепи с током)2) Mathematics: infinitely small element, infinitesimal small element3) Makarov: infinitesimal elementУниверсальный русско-английский словарь > бесконечно малый элемент
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3 бесконечно малый элемент
infinitely small element мат., infinitesimal elementРусско-английский научно-технический словарь Масловского > бесконечно малый элемент
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4 элементарный объём
1) Construction: small cube2) Mathematics: element of volume, (стат.) elementary unit, elementary volume, unit (совокупность), volume element3) Statistics: elementary unit (совокупности)4) Makarov: infinitesimal volumeУниверсальный русско-английский словарь > элементарный объём
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5 элементарная площадь
1) Engineering: elemental area2) Construction: differential area3) Mathematics: elementary area, surface element4) Makarov: infinitesimal areaУниверсальный русско-английский словарь > элементарная площадь
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6 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
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