διαίρεσις

διαίρ-εσις, εως, ἡ,

A divisibility, Arist.Metaph.1016b4, al.

2 Medic., dissection,

ζῴων Gal.4.664

.

b venesection, Antyll. ap. Orib.7.9.2.

c surgical operation, Phld.Lib.p.56O.

d pl., wounds, Diod.Rh.p.53H.

II 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 BGU1013.1

(i A.D.).

III distinction,

ἀγνωσίας τε καὶ γνώσεως Pl.Sph.267b

; [τῆς δημοκρατίας καὶ τῆς ὀλιγαρχίας] Arist.Pol.1294a34.

IV in Logic, division of genus into species,

τῶν γενῶν κατ' εἴδη δ. Pl.Sph.267d

;

ἡ διὰ τῶν γενῶν δ. Arist.APr.46a31

; opp. συναγωγαί, Pl.Phdr.266b.

b separation of subject and predicate,

περὶ σύνθεσιν καὶ δ. ἐστι τὸ ψεῦδος καὶ τὸ ἀληθές Arist.Int.16a12

.

2 ὁ παρὰ τὴν δ. [λόγος] the fallacy of division (cf. σύνθεσις), Id.SE177a33.

V Rhet., division or distribution into heads, Hermog.Prog.7, Stat.1, Onos.2 tit., etc.

VI 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.

VII in Metric, division of a line at the close of a foot, diaeresis, Aristid.Quint.1.24.

VIII Math., δ. λόγου transformation of a ratio dividendo, Euc. 5Def.15;

κατὰ διαίρεσιν Archim.Sph.Cyl.2.6

.

IX division of troops, of the Roman cohors, J.AJ7.14.9.