διαίρ-εσις · diair-esis — LSJ
divisibility, Arist. Metaph. 1016b4, al.
Medic., dissection, ζῴων Gal. 4.664.
venesection, Antyll. ap. Orib. 7.9.2.
surgical operation, Phld. Lib. p.56O.
pl., wounds, Diod.Rh. p.53H.
dividing, distribution, of money, Hdt. 7.144; of spoil, X. Cyr. 4.5.55; ἐν διαιρέσει [ψήφων] in the reckoning of the votes on either side, A. Eu. 749; ἀντίγραφον διαιρέσεως BGU 1013.1 (i A.D.).
distinction, ἀγνωσίας τε καὶ γνώσεως Pl. Sph. 267b; [τῆς δημοκρατίας καὶ τῆς ὀλιγαρχίας] Arist. Pol. 1294a34.
in Logic, division of genus into species, τῶν γενῶν κατʼ εἴδη δ. Pl. Sph. 267d; ἡ διὰ τῶν γενῶν δ. Arist. APr. 46a31; opp. συναγωγαί, Pl. Phdr. 266b.
separation of subject and predicate, περὶ σύνθεσιν καὶ δ. ἐστι τὸ ψεῦδος καὶ τὸ ἀληθές Arist. Int. 16a12.
ὁ παρὰ τὴν δ. [λόγος] the fallacy of division (cf. σύνθεσις), Id. SE 177a33.
Rhet., division or distribution into heads, Hermog. Prog. 7, Stat. 1, Onos. 2 tit., etc.
Gramm., resolution of a diphthong into two syllables, A.D. Pron. 87.2, al.; of one word into two, κατὰ διαίρεσιν ἀναγνωστέον Ath. 11.492a, cf. Trypho Trop. 1.8.
in Metric, division of a line at the close of a foot, diaeresis, Aristid.Quint. 1.24.
Math., δ. λόγου transformation of a ratio dividendo, Euc. 5Def. 15; κατὰ διαίρεσιν Archim. Sph.Cyl. 2.6.
division of troops, of the Roman cohors, J. AJ 7.14.9.