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1 θεώρημα
A sight, spectacle,λόγοι καὶ θεωρήματα D.18.68
;θ. καὶ ἀκροάματα Aristox.Fr. Hist.15
;θ. καὶ ἀκούσματα D.C.52.30
: generally, festival, .2 object of contemplation, τὸ ἐν ἡμῖν φάντασμα δεῖ ὑπολαβεῖν.. εἶναι θ. Arist.Mem. 450b25; vision, Id.Div.Somn. 463b19; intuition,θ. κοινά Chrysipp.Stoic.3.72
,al., cf. Phld.Po.5.25 (pl.).II of the mind, speculation, theory, Arist. Metaph. 1083b18, Top. 104b1; τὰ κατὰ φυσιολογίαν θ. Metrod.Herc.831.8; speculative proposition, M.Ant.1.8.b datum or rule of art, Cic.Fam.6.11 (pl.); τέχνης θ. Phld.Rh.2.94S.,al.(pl.), cf. Stoic.3.51; ἰατρικῆς θ. Corn.ND33 (pl.); scheme, plan, Plb.6.26.10: pl., θεωρήματα, τά, arts and sciences, Id.10.47.12;αἱ τέχναι ἐκ -ημάτων εἰσίν Gal.1.106
.c Math., theorem, Archim.Sph.Cyl.1Prooem., al., Papp.30.6, al., Procl.in Euc.p.201 F.; also ἀστρονομικὰ θ. Phlp.in Mete.104.19.b investigation, Plu.2.1131c.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > θεώρημα
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2 πορίζω
A , 1101, Th.6.29, etc., lateπορίσω Artem.2.68
: [tense] aor. : [tense] pf. :— [voice] Med., [tense] fut. [dialect] Att.ποριοῦμαι D.35.41
: [tense] aor.ἐπορισάμην Ar.Ra. 880
, etc.: —[voice] Pass., [tense] fut.πορισθήσομαι Th.6.37.94
: [tense] aor. ἐπορίσθην ib.37, etc., [dialect] Dor.- ίχθην Lysis
ap.Iamb.VP 17.75: [tense] pf.πεπόρισμαι Isoc.15.278
, D. 44.3 (in med. sense, Lys.29.7, Aeschin.3.209, Philem.123): [tense] plpf.ἐπεπόριστο Th.6.29
: ([etym.] πόρος):—rarely, like πορεύω, carry, bring, σὲ θεὸς ἐπόρισεν ἁμέτερα πρὸς μέλαθρα (prob. for ἐπῶρσεν, ἔπορσεν) S.El. 1267(lyr.).II bring about, furnish, provide,κακά τινι Hom.
Epigr. 14.10; νίκην, χρήματα, etc., Ar.Eq. 593, Ec. 236, Democr.78, IG22.834.14, etc.;ἀρχὴν πολέμου Ar.Fr.81
;τροφὴν τοῖς στρατιώταις Isoc.12.82
;τοῖς μαθηταῖς δόξαν, οὐκ ἀλήθειαν Pl.Phdr. 275a
: abs.,θεῶν ποριζόντων καλῶς E.Med. 879
: freq. with a notion of contriving or inventing, μηχανὰν κακῶν, πόρους, Id.Alc. 222 (lyr.), Ar.Eq. 759, etc.; ;π. τριβάς Ar.Ach. 386
;διαβολήν Th.6.29
;σωτηρίαν τῷ γένει Pl.Prt. 321b
;τῇ ζητήσει ἀπόκρισιν Id.Phlb. 30d
, etc.:—[voice] Med., furnish oneself with, procure, ; δαπάνην, χρήματα, ὅπλα, Th.1.83, 142, 4.9; τὰς ἡδονάς, τἀγαθά, τἀπιτήδεια, etc., Pl.Grg. 501b, La. 199e, Ax. 368b, etc.; ;τὰ δεῖπνα Alex.257.2
; καινὰ ῥήματα Philem.l.c.; ;ἐκ τῶν ἀλλοτρίων π. τὸν βίον Isoc.12.116
; alsoπ. μάρτυρας Lys. 29.7
;πρόφασιν Id.8.3
;λόγους περὶ ἀδίκων πραγμάτων D.35.41
;αἰτίας χρηστὰς ἐπὶ πράγμασι φαύλοις Plu.2.868d
: sts. alsoπορίζεσθαί τι ἑαυτοῖς X.HG5.1.17
, Pl.Smp. 208e; σημεῖα πεπορίσθαι to have acquired the signs, i.e. know them, Hp.Medic. 14; also, have provided for one, receive, Men.Prot.p.16D.:—[voice] Pass., to be provided,τὰ τῆς παρασκευῆς ἐπεπόριστο Th.6.29
; ῥᾳδίως αἱ ἐπαγωγαὶ.. ἐπορίζοντο inducements were easily provided, Id.3.82;δύναμις ἐκ θεῶν π. Pl.R. 364b
;πίστεις ὑπὸ τοῦ λόγου πεπορισμέναι Isoc. 15.278
, cf. Arist.Rh. 1356a1;τὸ γηροβοσκοὺς κεκτῆσθαι τοῖς ἀνθρώποις πορίζεται X.Oec.7.19
; πράξεις πρὸς τὰ φύ χη καὶ τὰς ἀλέας πεπορισμέναι behaviour adapted to.., Arist.HA 596b22, cf. PA 665b3.2 [voice] Act. in med. sense, find money, raise a loan, PCair.Zen.477.16(iii B.C.); obtain,προστάγματα εἰς τὸ τιμωρηθῆναι αὐτούς PMich.Zen.57.9
(iii B.C.); earn,τὸ ζῆν ἀπὸ τῆς γερδιακῆς PLond.3.846.11
(ii A.D.):—[voice] Pass., ἀπ' ἄλλων συντόμως σοι πορισθὲν ἀποδοθήσεται (sc. τὸ ἀργύριον) PMich.Zen. 56.8 (iii B.C.). -
3 πόρισμα
Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > πόρισμα
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4 προηγέομαι
A go first and lead the way, Hdt.2.48, 7.40, X.Lac.13.2, etc.; τινι for a person, i.e. guide him, , cf. X.Cyr. 2.1.1; π. τὴν [ ὁδόν] Id.An.6.5.10; of troops, form the van, Id.Cyr.4.2.27; π. πᾶσι [ τοῖς ποσίν] to have all in front, Arist.IA 714a4.2 c. gen., take the lead of,τῶν προόδων ἄλλους προόδους.. προηγεῖσθαι X.Eq.Mag.4.5
;π. τῆς πομπῆς Plb.12.13.11
; of the planets in retrograde motion, get ahead of,ἀπλανῶν ἀστέρων Gem.12.22
: later c. acc.,ἀλλήλους π. τῇ τιμῇ Ep.Rom.12.10
:—c. inf., προήγημαι τὴν τούτων ἐπίδοσιν ποήσεσθαι have taken the initiative in.., BGU1193.11 (i B.C.).3 of things, goes before, precedes,X.
Lac. 13.3;ῥάβδοι π. ἑκάστῳ Plb.6.53.8
.4 [tense] pres. part. προηγούμενος, η, ον, going first, τὸ π. στράτευμα the van, opp. οὐρά, X.Ages.2.2; preceding, foregoing, Phld.Ir.p.94 W.;γράμματα Plu.Pomp.45
.b Math., τὰ π. forward points, i.e. those lying on the same side of the radius vector of a spiral as the direction of its motion, Archim.Spir. 11 Def.6;ἁ π. εὐθεῖα Id.Spir.21
,23.c Astron., τὰ π. ζῴδια signs leading in the daily movement of the heavens, i.e. westerly signs, opp. ἑπόμενα, Gem.1.5, Theo Sm.p.147 H., etc.dτὰ π.
initial data, premisses,Plb.
16.16.6, Arr.Epict.1.20.1;σημεῖα Phld.Sign.36
;φαντασίαι M.Ant.8.49
; π. οὐσία τοῦ ἀγαθοῦ given, i.e. external to the soul, Arr.Epict.3.7.6; τὸ π., opp. τὸ ἐπιγέννημα, ib.7; τὰ π. originals of paintings, Arist.Mu. 396b14.e leading, principal, κατὰ π. λόγον according to a guiding principle, Zeno Stoic.1.48; ὁ π. λόγος, τὸ π. ἔργον, Arr.Epict.1.20.14, 2.5.4; σύν τινι προηγουμένῳ in conjunction with a purpose, Iamb.VP27.131, cf. Plot.4.4.8;χειρὸς οὐσία μὲν ἡ σάρξ, προηγούμενα δὲ τὰ χειρὸς ἔργα Arr.Epict.3.7.24
, cf. 3.22.76; ὑπηρετικὰ ἄλλοις, οὐκ αὐτὰ π. ib.2.8.6; so in Math., π. θεώρημα leading theorem, opp. ἀντίστροφον, Procl.in Euc.p.254F.f Medic., π. αἴτιον predisposing cause, Ath.Med. ap. Gal.15.112, cf. 7.10, al.; π. αἰτίαι antecedent causes, Chrysipp.Stoic.2.264.5 [tense] aor. part., ὁ -ησάμενος the former ἡγεμών, PLips.63.6(iv A.D.), etc.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > προηγέομαι
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5 ὀρθός
A straight,I in height, upright, standing, Hom., who commonly joins it withστῆναι, στῆ δ' ὀρθός Il.23.271
, al., cf. Hdt.5.111,9.22 (where it is used of a horse rearing);ὀρθαὶ τρίχες ἔσταν Il.24.359
, cf. Hes.Op. 540 ;ὀρθῶν ἑσταότων ἀγορή Il.18.246
;οἱ δ' ἐν νηΐ μ' ἔδησαν.. ὀρθὸν ἐν ἱστοπέδῃ Od.12.179
, cf. S.Aj. 239 (anap.);κυρβασίας.. ὀρθὰς εἶχον πεπηγυίας Hdt.7.64
;ὀρθὸν αἴρεις κάρα A.Ch. 496
, etc.; ὀρθὸν οὖς ἵστησι pricks up his ear, S.El.27, etc.; applied to the erect posture of man, Arist.PA 653a31, al.; ὀ. θηρίον, of man, Philem.3 ; of buildings, standing with their walls entire,[τὸ Πάνακτον] ὀρθὸν παραδοῦναι Th.5.42
;ὀρθαὶ κίονες Pi.P.4.267
, cf. PLond. 3.755v.2(iv A. D.); of a standing crop, ib.1165.2 (ii A. D.). Adv.,ὀρθῶς ἑστῶτες Arist.PA 689b19
.b Geom., at right angles to..,εὐθεῖα πρὸς ἐπίπεδον ὀρθή ἐστιν ὅταν.. Euc.11
Def.3.c Astrol., ὀρθὰ ζῴδια signs which rise vertically, opp. πλάγια, Doroth. in Cat. Cod. Astr.5 (1). 240.II in line, straight (opp. σκολιός crooked and πλάγιος aslant), ἀντ' ἠελίου τετραμμένος ὀρθός straight, right opposite the sun, Hes.Op. 727 ;ὀρθὸν εὐθύνοι βέλος A.Fr. 200
; ποιῶν ὀρθὰ πάντα πρὸςκανόνα IG7.3073.108
(Lebadea, ii B. C.); ὀ. τρῶμα longitudinal to the muscle, opp. ἐπικάρσιος, Hp.Prorrh.2.15 ;ὀρθὸς εἰς ὁδὸν πορεύεται S. Aj. 1254
;εἶμι.. ὀ. ὁδόν Thgn.945
;ὀ. κέλευθον ἰών Pi.P.11.39
; ὀρθὴν κελεύεις, i. e. ὀρθὴν ὁδόν με ἰέναι κ., Ar.Av.1 ; so ὀρθὴν ἄνω δίωκε (sc. όδόν) Id.Th. 1223 (but ὀρθήν, = εὐθύς, Hyp.Fr. 257); δι' ὀρθῆς τήνδε ναυκληρεῖς πόλιν (sc. ὁδοῦ) S.Ant. 994 ;εἰς ὀρθὸν τρέχειν Diph.61.5
; to face the front originally held,Ascl.
Tact.10.1 ;κατ' ὀρθὸν εὐδρομεῖν Men.681
; also straightway,Pi.
O.10(11).4 ; ὀρθῷ ποδί ib.13.72, Fr. 167 ; but τιθέναι ὀρθὸν πόδα is prob. to put the foot out, as in walking, A.Eu. 294 (v. ), cf. E.Med. 1166.2 βλέπειν ὀρθά, opp. being blind, S.OT 419 ; recovered his sight,IG
14.966 (Rome, ii A. D.);ἐξ ὀμμάτων ὀ.. κἀξ ὀρθῆς φρενός S.OT 528
; ὀρθοῖς ὄμμασιν ib. 1385 ; v. ὄμμα 1.III metaph.,1 right, safe, prosperous:a partly from signf. 1, set them up, restored,Pi.
P.3.53 ; so ὀρθὸν ἀστάσας (= ἀναστήσας) IG42(1).122.52 (Epid., iv B. C.);ἐς ὀρθὸν ἱστάναι τινά E.Supp. 1230
;ὀρθὰν φυλάσσειν Τένεδον Pi.N.11.5
; so , cf. Pl.La. 181b ; ταύτης ἔπι (sc. χθονός) πλέοντες ὀρθῆς (the state being represented as a ship) S. Ant. 190 ;ἐν ὀρθῷ κεῖσθαι Plb.31.7.1
.b partly from signf. 11, κατ' ὀρθὸν ἐξελθεῖν, of prophecies, S.OT88, cf. OC 1424; κατ' ὀρθὸν οὐρίσαι to speed in prosperous course, Id.OT 695 (lyr.).2 right, true, correct, ἄγγελος, ἀγγελία, νόος, Pi.O.6.90, P.4.279, 10.68 ; (anap.), etc.; ;ὀρθᾷ φρενί Pi.O.8.24
; ὄρθ' ἀκούειν to be rightly, truly called, S.OT 903 (lyr.);κατὰ τὸ ὀ. δικάζειν Hdt. 1.96
;ὀ. λόγῳ
strictly speaking, in very truth,Id.
2.17, 6.68, etc.: so in Adv.,ὀρθῶς λέγειν Id.1.51
;ὀ. ἔλεξας S.Ph. 341
;ὀ. φράσαι A.Ch. 526
;εἴρηκας ὀ. S.El. 1040
;ὀ. φρονεῖν A.Pr. 1000
, Archyt.1 (soεἰς ὀρθὸν φ. S. Fr. 612
);ὀ. γνῶναι Antipho 2.2.8
; ὀ. ἔχει it is right, c. inf., Pl.Euthphr. 9a ;ὀ. ἐνδίκως τ' ἐπώνυμον A.Th. 405
, cf. 829 (anap.): in answers, rightly, exactly, Pl.Prt. 359e;ὀ. γε Diph.32.18
: [comp] Sup.,ὀρθότατα καλεόμενος Hdt.4.59
; soτὸ ὀρθὸν ἐξείρηκα S.Tr. 374
; φωνεῖν δίκης ἐς ὀρθόν ib. 347 ;κατ' ὀρθόν Pl.Ti. 44b
.3 true, real, genuine, ὀ. πολιτεῖαι, opp. παρεκβάσεις, Arist.Pol. 1279a18, etc.; ὀ. μανία real madness, Ael.NA11.32, cf. Theoc.11.11. Adv. - θῶς really, truly,τοὺς ὀ. φιλομαθεῖς Pl.Phd. 67b
;ὁ ὀ. κυβερνήτης Id.R. 341c
;τὸν ὀ. συγγενῆ Diph. 102
.4 upright, just,ἐμμένειν ὀ. νόμῳ S.Aj. 350
(lyr.);τὸ ὀ.
uprightness,Pl.
R. 540d ; ἐπιστήμη ἐνοῦσα καὶ ὀ. λόγος (v. λόγος IV. I) Id.Phd. 73a; ὁ ὀ. λόγος διὰ πάντων ἐρχόμενος (v.λόγος 111.7
) Chrysipp.Stoic.3.4 ; ὀ. λόγοι virtues on the intellectual side, Phld.Piet.8. Adv. rightly, justly,Th.
3.56;ὀ. καὶ δικαίως Antipho1.10
, IG22.228.14 (iv B. C.), IPE12.32B73 (Olbia, iii B. C.), etc.;ὀ. καὶ νομίμως Isoc.7.28
.5 of persons, 'straight', straightforward,σμικροὶ καὶ οὐκ ὀρθοὶ τὰς ψυχάς Pl. Tht. 173a
.6 on tiptoe, full of expectation, excited,ὀρθῆς τῆς πόλεως γενομένης διά τι Isoc.16.7
;τὴν Ἑλλάδα ὀρθὴν οὖσαν ἐπί τινι Id.5.70
;ὀ. ἦν ἡ πόλις ἐπὶ τοῖς συμβεβηκόσιν Lycurg.39
, cf. Hyp.Fr.39 ;ὀ. καὶ μετέωροι ταῖς διανοίαις Plb.28.17.11
;ὀ. καὶ περίφοβος ἦν ἡ πόλις Id.3.112.6
;ὀ. διὰ τὸν φόβον D.S.16.84
;ὀ. καὶ δραστήριος διὰ τὸ θαρρεῖν Plu.Phil.12
.IV ἡ ὀρθή,1 (sc. ὁδός) v. supr. 11.1.2 ὀ. γωνία right angle, Pl.Ti. 55b ; so ὀ. alone, Arist.EN 1098a30, al.; cf. ὄρθιος v. 1 : τέμνειν πρὸς ὀρθάς to cut at right angles, Euc.3.3, al.; εἴ τις δείξειεν ὅτι αἱ ὀρθαὶ οὐ συμπίπτουσι.. that right angles do not meet (short for 'that two straight lines making, with a third, interior angles equal to two right angles, etc.'), Arist.AP0.74a13 ; τὸ δυσὶν ὀρθαῖς the theorem that the angles of a triangle are together equal to two right angles, ib.85b5 ; ὀρθὸς κῶνος, κύλινδρος, a right cone, cylinder, Archim.Sph.Cyl.1.26, 1.11.3 (with or without πτῶσις) nominative, Lat. casus rectus, opp. the oblique cases, D.T. 636.3, Str.14.2.28, A.D.Pron.39.10, al., S.E.M.1.177.V ὀρθά active verbs, opp. ὕπτια (passive) and οὐδέτερα (neuter), Chrysipp.Stoic.2.59.VI ὀ. τόνος real or unmodified (cf. supr. 111.3) accent, opp. ἐγκλινόμενος, A.D.Pron.36.10, al.; so ὀρθὴ τάσις ib.54.8, al. (The gloss of Hsch., βορθ-αγορίσκοι, = ὀ., and the dialect forms of Ὀρθεία (q.v.), suggest that the word orig. had ϝ.)
См. также в других словарях:
Theorem — The o*rem, n. [L. theorema, Gr. ? a sight, speculation, theory, theorem, fr. ? to look at, ? a spectator: cf. F. th[ e]or[ e]me. See {Theory}.] 1. That which is considered and established as a principle; hence, sometimes, a rule. [1913 Webster]… … The Collaborative International Dictionary of English
Theorem — The o*rem, v. t. To formulate into a theorem. [1913 Webster] … The Collaborative International Dictionary of English
Theorēm — (griech.), soviel wie Lehrsatz … Meyers Großes Konversations-Lexikon
Theorem — Theorēm (grch.), Lehrsatz … Kleines Konversations-Lexikon
Theorem — Theorem, griech. (das Wort mit allen damit verwandten Ausdrücken hat seine Wurzel in einem griech. Zeitworte, welches bedeutet: anschauen, besonders: innerlich, geistig anschauen, in seinen letzten Gründen etwas schauen), der Lehrsatz; t. atisch … Herders Conversations-Lexikon
theorem — index inference, postulate, prescription (directive), principle (axiom), supposition Burton s Legal Thesaurus. William … Law dictionary
Theorem — Theorem,das:⇨Lehrsatz … Das Wörterbuch der Synonyme
theorem — (n.) 1550s, from M.Fr. théorème, from L.L. theorema, from Gk. theorema spectacle, speculation, in Euclid proposition to be proved, from theorein to consider (see THEORY (Cf. theory)) … Etymology dictionary
theorem — *principle, axiom, fundamental, law … New Dictionary of Synonyms
theorem — [n] explanation based on hypothesis and experiments assumption, axiom, belief, deduction, dictum, doctrine, formula, fundamental, law, postulate, principium, principle, proposition, rule, statement, theory, thesis; concepts 529,688,689 Ant. fact … New thesaurus
theorem — ► NOUN 1) Physics & Mathematics a general proposition not self evident but proved by a chain of reasoning. 2) Mathematics a rule expressed by symbols or formulae. ORIGIN Greek the r ma speculation, proposition … English terms dictionary