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1 πεῖραρ
πεῖραρ, - ατοςGrammatical information: n.Meaning: `end, boundary, outcome, goal, decision'; ep. also `rope, cable' (from `rope-end, cable-end'?; also `knot'?; s.bel.).Compounds: As 2. member in ἀ-πείρων (Il.), with transiion in the ο-stems ἄ-πειρος (Pi., Ion., trag., Pl., Arist.) `endless, unlimited', also ἀ-πε(ί)ρατος `id.' (Pi., Ph.); here also ἀπειρέσιος, ἀπείριτος with suffixtranfer (diff. s.v.)?; ἀπέρονα πέρας μη ἔχοντα H.; πολυ-πείρων `with many (wide) boundaries' (h. Cer. 296, Orph.).Derivatives: 1. πειραίνω (Hom.), περαίνω (Att.), aor. πειρῆναι, περᾶναι, also w. δια-, συν- a.o., `to bring to an end, to finish, to conclude' with ἀ-πέραντος (- εί-) `unlimited' (Pi., Att.), περαντικός `conclusive' (Ar., Arist.), συμπέρασ-μα n. `end, finishing, conclusion' (Arist.) with - ματικός (Arist.). 2. περατόομαι, - όω, also w. ἀπο-, συν-, `to end, to bring to an end, to limit' (Arist.) with ἀποπεράτ-ωσις (medic.). 3. ἀπο-περατίζω `to end' (sch.). 4. περατεύει ὁρίζει H. -- Also περάτη f. `extremity of the heavens' (ψ 243, Arat., Call.), after the superlatives (cf. Schwyzer 503 c); here περάτ-ηθεν `from the boundary, from beyond' (A. R.).Origin: IE [Indo-European] [811] *per-u̯-r̥\/n̥ `end'?Etymology: Basis *πέρϜαρ with old ρ \/ ν-flexion; from ν-stem ἀ-πείρων; through innovation πεῖρας, πέρας (cf. Schwyzer 514). -- A remarkable similarity shows Skt. pár-van- n. `knot, joint, section'. Schulze Q. 109f., 116ff. concludes from this a special word πεῖραρ with the meaning `knot' (μ 51 a.o., h. Ap. 129), with the ptc. πειρήναντε `knotting, kn. confirming' (χ 175, 192); very attractive, but with the in other places (e.g. Ν 358) hardly rejectable meaning `rope, line' (from `rope-, line-end'?) one finds even so no solution. After Krause Glotta 25, 148 stands beside πεῖραρ `end' a special πεῖραρ `line' to σπεῖρα, σπάρτον; to be rejected. For a uniform πεῖραρ (s. Bq w. older lit.) a.o. Niedermann Glotta 19, 7, Björck Mél. Bq 1, 143ff. -- In the sense of `end, frontier' πεῖραρ \< *πέρ-Ϝαρ belongs in any case to the great group πείρω, πέρᾱ etc. (prob. also πεῖρα); the orig. function of the element περ-, whether verbal or nominal, can no longer be decided. Also πεῖραρ = pár-van- `knot' can perh. be united (prop. `end, section, knot of a stalk'?; WP. 2, 32; doubts in Mayrhofer s. páruḥ).Page in Frisk: 2,490-491Greek-English etymological dictionary (Ελληνικά-Αγγλικά ετυμολογική λεξικό) > πεῖραρ
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2 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. -
3 τμῆμα
A part cut off, section, piece, Pl.Smp. 191d, al.; segment of a line, Id.R. 509d, Euc.2.11, etc.; of a circle (i.e. portion cut off by a chord), Arist.Metaph. 1035a34 (pl.), APr. 41b18, Mete. 343a12, Euc.3 Def.6, etc.; also of the portion cut off by radii, sector, τὰ ἀφαιρούμενα ὑπὸ τῶν ἐκ τοῦ κέντρου [τμήματα] Arist. Cael. 290a3, cf. Str.2.5.34; of lunes,ὁ τετραγωνισμὸς ὁ διὰ τῶν τμημάτων Arist.Ph. 185a16
; of segments of other figures cut off by straight lines or planes, Democr.155, Archim.Con.Sph.Prooem., al.; and of segments bounded by a circle and a circumscribed polygon, Papp.316.2. -
4 παραβολή
παραβολ-ή, ἡ,A juxtaposition, comparison, ;π. καὶ σύγκρισις Plb.1.2.2
; ἐν παραβολῇ by juxtaposition, Arist.Top. 104a28, cf. 157a14;ἐκ παραβολῆς Id.Rh. 1420a4
.2 comparison, illustration, analogy,τὴν π. ἀπρεπῆ πεποιῆσθαι Isoc.12.227
; π. δὲ τὰ Σωκρατικά (distd. from λόγος, apologue) Arist.Rh. 1393b3;ἐκ τῶν θηρίων ποιεῖσθαι τὴν π. Id.Pol. 1264b4
.3 NT, parable, Ev.Marc.12.1, al.; type, Ep. Hebr.9.9, 11.19.4 by-word, proverb, LXX Ez.18.2, Ev.Luc.4.23; in bad sense,εἰς π. ἐν τοῖς ἔθνεσι LXX Ps.43(44).14
, cf. Wi.5.3.II moving side by side, ἐκ παραβολῆς [νεῶν] μάχεσθαι to fight a sea-fight broadside to broadside, Plb.15.2.13, cf. D.S.14.60.V Astron., conjunction,παραβολαὶ ἀλλήλων Pl.Ti. 40c
, cf. Procl. in Ti.3.146 D., Plot.3.1.5, Iamb.Myst.9.4: also f.l. for περιβολή, τοῦ ἡλίου Max.Tyr.17.9.VI Math., division, opp. multiplication, Dioph.4.22; quotient, ib.10: hence, section produced by division of a line, Nicom.Ar.2.27.VII Geom., application,π. τῶν χωρίων Pythag.
ap. Procl.in Euc.p.419 F.; τὰ ἐκ τῆς π. γενηθέντα σημεῖα, of the foci of an ellipse or hyperbola, points found by application of an area to the axis, Apollon.Perg.Con.3.45, cf. 48.2 parabola, because the square on the ordinate is equal to a rectangle whose height is equal to the abscissa applied to the parameter, ib.1.11.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > παραβολή
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