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121 τομεύς
A one that cuts, a carver, Poll.6.13, etc.;τ. σίδηρος Max.277
;πέλεκυς αὐχένος τ. Trag.Adesp.412
; divider, ὁ ἀόρατος τ., i. e. God, Ph.1.498; as Adj., ὁ τ. λόγος ib. 491.2 shoemaker's knife, Pl.Alc.1.129c; edge of a knife, X.Eq.Mag.2.3.4 pl. τομεῖς, οἱ, cutting-teeth, incisors, Anon.Lond.24.23, Cels.8.1, Gal. 2.754, Poll.2.91, Gp.16.1.13, Simp.in Cael.664.3.2 τ. στερεός sector of a sphere (intercepted by cone with vertex at centre), Archim.Sph. Sph.Cyl. 1 Def.5; but τ. ἐν τῇ ἐπιφανείᾳ, i.e. surface included betw. two great circles and a circle cutting each at right angles, Papp.268.1. -
122 τομή
A end left after cutting, stump of a tree, ἐπεὶ δὴ πρῶτα τομὴν ἐν ὄρεσσι λέλοιπεν [τὸ σκῆπτρον] Il.1.235; ῥιζῶν τομαί the ends of the roots ( left by cutting away the tree), S.Fr.534.5 (anap.); ὀπὸν.. στάζοντα τομῆς ib.2; δοκοῦ τ. end of a beam, Th.2.76;ἡ τοῦ καλάμου τ. Thphr.HP4.11.7
, cf. Theoc.10.46; λίθοι ἐν τομῇ ἐγγώνιοι stones cut square, Th.1.93 (sed leg. ἐντομῇ) ; σκέψαι τομῇ προσθεῖσα βόστρυχον having fitted the lock to the place from which it was cut, A.Ch. 229 ( σκέψαιτο μὴ cod. M, distinxit Turnebus); πρὸς τὴν τ. μεταστρέφειν to the cut, Pl.Smp. 190e, cf. Arist.HA 532a4.b Ταύροιο τ. prob. = προτομή 1, Arat. 322.2 Math., section, as a circle is the section of a sphere, a conic section of the cone, Arist.Mete. 375b32, Pr. 912a13, cf. App.Anth.4.74 ([place name] Synesius); with or without κοινή, the line in which two planes cut each other, Arist.Metaph. 1060b14, Euc.11.16, Archim. Con.Sph.11, al., Apollon.Perg.Con.1.4, etc.; point of intersection of two lines, Archim.Spir.20, al., Ptol.Alm.3.3, etc.: abstract use, περὶ διωρισμένης τ. On determinate section, name of lost treatise of Apollon.Perg.; τὰ περὶ τὴν τ. the theorems about the section (sc. in extreme and mean ratio), Procl.in Euc.p.67 F.:—in conic sections, τομαὶ ἀντικείμεναι opposite sections, i.e. branches of hyperbola, Apollon.Perg.Con.2.15; συζυγεῖς τ. conjugate sections of hyperbolas, ib.17.3 incision or insection between parts of an insect's body (whence their name of ἔντομα), Arist.PA 682b25.4 ἡ εἰς ἄπειρον τ. infinite divisibility, Epicur.Ep.1p.16U.II cutting, cleaving, ἐν τομᾷ σιδάρου by stroke of iron, S.Tr. 887 (lyr.);πελέκεως τ. E.El. 160
(lyr.);φασγάνου τομαί Id.Or. 1101
; cutting off or down, ; vine-cutting, PCair.Zen. 736.29 (iii B.C.); cutting up,εἰς τ. καὶ προσαγωγὴν χάλικος PPetr.3p.290
(iii B.C.); hewing,λίθων IG12.336.7
, 11, SIG244 ii 58 (Delph., iv B.C.), IG42(1).106i19, al. (Epid., iv B.C.).2 use of the knife in surgery, Hp.VC13; ;οὔτε τ. οὔτε καῦσις Hp.Art.62
;σιδήρου τ. Sor.1.80
: pl., Pi.P.3.53, E.Fr.403.6;τὰς θεραπείας.. διὰ καύσεών τε καὶ τομῶν Pl.Prt. 354a
, cf. Ti. 65b.3 castration, Luc. Philops.2.7 αἱ τ. τῆς γῆς, i.e. canals, Lib. Or.18.232.III severance, separation,τ. καὶ διάκρισις Pl.Ti. 61d
, cf. 80e; of number, division, Id.Lg. 738a; τομὴν ἔχειν ἔν τινι to admit a distinction in.., ib. 944b; χρονικαὶ τ. distinctions of tenses, A.D.Synt.10.18; process of division (sc. μεγέθους), Nicom. Ar.1.2.3 metaph., conciseness or precision in expression, Eun.VSp.461B.4 τ. πράγματος, = decisio, Gloss.IV a cut, wound, Arist.HA 632a18, Aen.Tact.11.14: metaph., wound,πόλις δεδεγμένη τ. Plu.Cor.16
, cf. Per.11.2 caesura in verse, Aristid.Quint.1.24; more generally, break between successive words, Hermog.Id.2.10, Heph.15.2, al., Eust.740.1. -
123 τόμος
τόμος, ὁ,A slice,τ. ἐκ πτέρνης Batr.37
; γαστρός, πλακοῦντος, Ar. Eq. 1179, 1190;τῆς χορδῆς Cratin.192
; ἀλλάντων, πυοῦ, Pherecr.108.8, 19;γογγυλίδος Alex.88
; τυροῦ, ἡνύστρου, Eub.150.2, Mnesim.4.14 (anap.): generally, piece, (Samos, iv B.C.); of wood, beam, IG11(2).161 D123, 165.49 (Delos, iii B.C.).3 Geom., τ. κυλίνδρου frustum of a cylinder, portion of right cylinder intercepted betw. two parallel oblique sections, Archim. Con.Sph.Def.; τ. ἀπὸ ὀρθογωνίου κώνου τομᾶς ἀφαιρούμενος frustum of the section of a right-angled cone, i e. portion of a parabola cut off by two parallel double-ordinates, Id.Aequil.2.10.II roll of papyrus, PCair.Zen.357.15 (iii B.C.), LXXIs.8.1, PSI10.1146.1 (ii A.D.), Sammelb.7362.1 (ii A.D.), etc.;τ. συγκολλήσιμος PGrenf.2.41.18
(i A.D.);τιμῆς ἀπὸ τόμου ἀγραφίου PMich.Teb. 123vvii 25
(i A.D.); tome, volume, PMich. in Class.Phil.22.10 (ii A.D.), D.L.6.15: metaph.,ἐν καθαρῷ διανοίας τ. Porph.Marc.32
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124 ἀτέλεστος
ἀτέλ-εστος, ον,A without end, issue, or effect, unaccomplished,ἅλιον θεῖναι πόνον ἠδ' ἀ. Il.4.26
, cf. 57, 168, Od.2.273;σῖτον ἔδοντες μὰψ αὔτως ἀ. 16.111
; , cf. Tab.Defix.Aud.68b: rare in Prose, of prayers, not deserving of accomplishment, Antipho 1.22; ἀ. κῶνος truncated cone, Hero *Stereom.1.16: neut. pl. as Adv., inconclusively,ἀ. λαλεῖν AP12.21
(Strat.).II uninitiated in.., c. gen.,βακχευμάτων E.Ba.40
: metaph.,ἀ. ἱερῶν καὶ μυστηρίων τῆς πολιτείας Plu.Flam.2
: abs.,ἀ. καὶ ἀμύητος Pl.Phd. 69c
, cf. Arist.Rh. 1419a4, Phld.Acad.Ind.p.4 M.;ἀ. τῷ θεῷ Ael.VH3.9
; prob. unmarried, Tab. Defix.Aud. 68a.IV endless, eternal, Parm.8.4.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > ἀτέλεστος
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125 ἄξων
2 axis, of a cone, Arist.Mete. 375b22; of a conic section, Apollon.Perg.1 Def.7; of a cylinder, Archim.Con.Sph.1.260.4 metaph., course, path of action, LXXPr.2.9, 2.18.II οἱ ἄξονες the wooden tablets of the laws in Athens, made to turn upon an axis, Plu.Sol.25: sg. in IG1.61, D.23.31.2 in pl., door-jambs, Parm.1.19.IV the second cervical vertebra, Poll.2.132. (Cf. Skt. ák[snull ]as, Lat. axis, OHG. ahsa, Lith. ašìs 'axle'.) -
126 ἔμφωτον
Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > ἔμφωτον
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127 ἡμικώνιον
ἡμι-κώνιον, τό,Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > ἡμικώνιον
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128 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.)
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