ὑπεροχ-ή, ἡ,
(ὑπερέχω [[ 11)] Refs] projection, prominence, οὐ κνῖσα κρούει πινὸς ὑπεροχὰς ἄκρας; [[ 4th c.BC: Ephippus Comicus 3, compare “Geoponica” 9.10.4] Refs 4th c.BC+]; αἱ ὑ. τῶν βουνῶν, τῶν ὀρῶν, their prominent points, [[ 2nd c.BC: Polybius Historicus 10.10.10, 1st-2nd c.AD: Plutarchus Biographus et Philosophus 2.936a] Refs 2nd c.BC+]; top of an upright beam, [[ 2nd c.BC: Athenaeus Mechanicus 17.4 ] Refs 2nd c.BC+]; ὑ. λιθοειδεῖς, of the mastoid processes of the skull, [[ 2nd c.AD: Rufus Medicus “περὶ ὀνομασίας” 139 ] Refs 2nd c.AD+]; τὰς ὑ. αὐτῶν (i.e. τῶν μαστῶν) [[ 2nd c.AD: Soranus Medicus 1.55 ] Refs 2nd c.AD+]: absolutely, an eminence, [[ 2nd c.BC: Polybius Historicus 3.104.3. ] Refs 2nd c.BC+]
__2 rising of a star, ἀνατολὴν εἶναι.. ὑ. ἄστρου ὑπὲρ γῆς [[ 3rd c.BC: Chrysippus Stoicus 2.200 ] Refs 3rd c.BC+]; raising, τῆς ἑαυτῶν κεφαλῆς [[ 3rd c.AD: Plotinus Philosophus 5.8.3. ] Refs 3rd c.AD+]
__II metaphorically, pre-eminence, superiority, ὑπεροχῆς ἐπιθυμεῖ ἡ νεότης, ἡ δὲ νίκη ὑ. τις [[ 4th c.BC: Aristoteles Philosophus “Rhetorica” 1389a13; ἡ ἰσχὺς καὶ ἡ ὑ. [prev. author] “Pol.” 1297b18; τὴν ὑ. ἀπονέμειν τοῖς ἀρίστοις [prev. work] 1293b41 ] Refs 4th c.BC+]; τὴν ὑ. τῆς πολιτείας λαμβάνειν superiority in the government, [[[prev. work] 1296a31 ] Refs]; διὰ τὴν ὑ. τοῦ πλήθους because of superiority in multitude,[[ [prev. work] 1293a4; ἡ ἐν τῷ ἐπιτηδεύματι ὑ. “IG” 22.3800: _plural_, πρὸς τὰς ὑ. οὕτω διακεῖσθαι 5th-6th c.BC: Isocrates Orator 12.16; διαφέρεσθαι ἐν τῷ ποσῷ καὶ ταις ὑ. 4th c.BC: Aristoteles Philosophus “Politica” 1323a35. ] Refs 5th c.BC+]
__II.2 like{ὑπερβολή}, excess, opposed to ἔλλειψις (defect), in many senses, as in Arithm., one of the ἀριθμοῦ ᾗ ἀριθμὸς πάθη, [[ [prev. author] “Metaphorical” 1004b12, compare 3rd c.BC: Archimedes Geometra “περὶ ἑλίκων” 11, “Aequil.” 1.2, 3rd c.AD: Diophantus Mathematicus 1.6, +others] Refs 3rd c.BC+]; ἐν ἴσῃ ὑ., of an arithmetical progression, [[ 3rd c.AD(?): Pappus Mathematicus 76.21, +others, compare 4th c.BC: Archytas Tarentinus Philosophus 2, 3rd c.AD: Porphyrius Tyrius Philosophus “in Ptolemaei Harmonica” p.266 W.] Refs 4th c.BC+]; excess, of a sum of money, [[ “SIG” 976.66 (Samos, 2nd c.BC)] Refs 2nd c.BC+]; in Physics, [[ 4th c.BC: Aristoteles Philosophus “Physica” 187a16, 189b10, “HA” 486b8, +others; διαφέρειν καθ᾽ ὑπεροχήν [prev. author] “PA” 644a17, +others; τάχος τὸ ὑ. [ἔχον] κινήσεως [prev. author] “Metaphorical” 1052b30; ἡ κατὰ τὴν ἀρετὴν ὑ. [prev. author] “EN” 1098a11, compare “Rh.” 1368a25 ] Refs 4th c.BC+]; τῶν ἠθῶν (i.e. τοῦ Επικούρου) [[ “IG” 22.1099.27 (Epist. Plotinae), compare 42(1).86.18 (Epid., probably)] Refs]; φιλίας εἶδος τὸ καθ᾽ ὑ., where one exceeds the other in rank, etc., [[ 4th c.BC: Aristoteles Philosophus “Ethica Nicomachea” 1158b12, compare 1161a20: _plural_, κατὰ πλούτων ὑπεροχάς 5th-6th c.BC: Plato Philosophus “Leges” 711d; οἱ ἐν ὑπεροχαῖς εὐτυχημάτων ὄντες 4th c.BC: Aristoteles Philosophus “Politica” 1295b14. ] Refs 5th c.BC+]