Perseus analyses of τομήν:

τομή (end left after cutting, stump): fem acc sg (attic epic ionic)
τομός (cutting, sharp): fem acc sg (attic epic ionic)

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τομή

τομή, ἡ, (τέμνω)

b. Ταύροιο τ. prob. = προτομή I, 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 (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 insectʼs 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, ξύλου S. Tr. 700; vine-cutting, PCair.Zen. 736.29 (iii B.C.); cutting up, εἰς τ. καὶ προσαγωγὴν χάλικος PPetr. 3p.290 (iii B.C.); hewing, λίθων IG 12.336.7, 11, SIG 244 ii 58 (Delph., iv B.C.), IG 42(1).106i19, al. (Epid., iv B.C.).

3. castration, Luc. Philops. 2.

4. τ. φαρμάκων shredding of drugs, Conon 23.2.

5. pruning, ἀμπέλων Thphr. CP 3.14.2, Paus. 2.38.3.

6. σκυτῶν τ. cutting or shaping of leather, Pl. Chrm. 173d.

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.

2. logical division, Pl. Plt. 261a, Arist. APo. 95b30, Metaph. 1038a28, Gal. 10.899.

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.

V. edge, cutting power, σιδήρου Arr. Tact. 12.2.

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τομός

τομός, ή, όν, (τέμνω)

A. cutting, sharp, Pl. Ti. 61e, Timo 4 (Comp.); v.l. for τολμηρόν in D. 25.24; ὁ μὲν σφαγεὺς ἕστηκεν ᾗ τομώτατος as it will cut sharpest, S. Aj. 815.