A.“ὑπερέχω” 11) projection, prominence, “οὐ κνῖσα κρούει π̔ινὸς ὑπεροχὰς ἄκρας;” Ephipp.3, cf. Gp.9.10.4; αἱ ὑ. τῶν βουνῶν, τῶν ὀρῶν, their prominent points, Plb.10.10.10, Plu. 2.936a; top of an upright beam, Ath.Mech.17.4; ὑ. λιθοειδεῖς, of the mastoid processes of the skull, Ruf.Onom.139; τὰς ὑ. αὐτῶν (sc. τῶν μαστῶν) Sor.1.55: abs., an eminence, Plb.3.104.3.
2. rising of a star, “ἀνατολὴν εἶναι . . ὑ. ἄστρου ὑπὲρ γῆς” Chrysipp.Stoic.2.200; raising, “τῆς ἑαυτῶν κεφαλῆς” Plot.5.8.3.
II. metaph., pre-eminence, superiority, “ὑπεροχῆς ἐπιθυμεῖ ἡ νεότης, ἡ δὲ νίκη ὑ. τις” Arist.Rh.1389a13; “ἡ ἰσχὺς καὶ ἡ ὑ.” Id.Pol.1297b18; τὴν ὑ. ἀπονέμειν τοῖς ἀρίστοις ib. 1293b41; τὴν ὑ. τῆς πολιτείας λαμβάνειν superiority in the government, ib.1296a31; διὰ τὴν ὑ. τοῦ πλήθους because of superiority in multitude, ib.1293a4; “ἡ ἐν τῷ ἐπιτηδεύματι ὑ.” IG22.3800: pl., “πρὸς τὰς ὑ. οὕτω διακεῖσθαι” Isoc.12.16; “διαφέρεσθαι ἐν τῷ ποσῷ καὶ ταις ὑ.” Arist.Pol.1323a35.
2. like ὑπερβολή, excess, opp. ἔλλειψις (defect), in many senses, as in Arithm., one of the ἀριθμοῦ ᾗ ἀριθμὸς πάθη, Id.Metaph.1004b12, cf. Archim.Spir.11, Aequil.1.2, Dioph.1.6, al.; ἐν ἴσῃ ὑ., of an arithmetical progression, Papp.76.21, al., cf. Archyt.2, Porph. in Harm.p.266 W.; excess, of a sum of money, SIG976.66 (Samos, ii B.C.); in Physics, Arist.Ph.187a16, 189b10, HA486b8, al.; “διαφέρειν καθ᾽ ὑπεροχήν” Id.PA644a17, al.; “τάχος τὸ ὑ. [ἔχον] κινήσεως” Id.Metaph.1052b30; “ἡ κατὰ τὴν ἀρετὴν ὑ.” Id.EN1098a11, cf. Rh.1368a25; τῶν ἠθῶν (sc. τοῦ ᾿Επικούρου) IG22.1099.27 (Epist. Plotinae), cf. 42(1).86.18 (Epid., prob.); φιλίας εἶδος τὸ καθ᾽ ὑ., where one exceeds the other in rank, etc., Arist.EN1158b12, cf. 1161a20: pl., “κατὰ πλούτων ὑπεροχάς” Pl.Lg.711d; “οἱ ἐν ὑπεροχαῖς εὐτυχημάτων ὄντες” Arist. Pol.1295b14.
3. alone, supremacy, authority, dignity, Plb.1.64.1; “τὴν Σελεύκου τοῦ βασιλέως ὑ.” Antiph.187.4; “δαιμόνων ὑ.” OGI383.75 (Nemrud Dagh, i B.C.); “οἱ ἐν ὑπεροχαῖς νεανίσκοι” D.S.4.41; “οἱ ἐν ὑπεροχῇ ὄντες” PTeb.734.24 (ii B.C.), 1 Ep.Ti.2.2; “ἀνὴρ ἐν ὑ. κείμενος” LXX 2 Ma.3.11.
4. of language, periphrasis. prolixity, opp. ἔλλειψις, Pl.Plt.283c.