A.“ἅμμαι” Hdt.1.86: fut. “ἅψομαι” Od.9.379, ἁφθήσομαι(συν-) Gal.3.311:—Med., v.infr. (cf. ἑάφθη):—fasten or bind to, used by Hom., once in Act., ἅψας ἀμφοτέρωθεν . . ἔντερον οἰός (of a lyre-string) Od.21.408; once in Med., ἁψαμένη βρόχον . . ἀφ᾽ ὑψηλοῖο μελάθρου having fastened the noose to the beam (to hang herself), 11.278; so later “ἅψεται ἀμφὶ βρόχον . . δείρᾳ” E.Hipp.770; “ἁψαμένη βρόχον αὐχένι” A.R.1.1065:—Act., “βρόχους ἅ. κρεμαστούς” E.Or.1036; but “βρόχῳ ἅ. δέρην” Id.Hel.136, cf. AP7.493 (Antip. Thess.).
2. join, “ἅ. χορόν” A.Eu.307; πάλην τινὶ ἅ. fasten a contest in wrestling on one, engage with one, Id.Ch.868: —Pass., “ἅπτεσθαι τὴν Μεγαρέων πόλιν καὶ Κορινθίων τοῖς τείχεσιν” Arist.Pol.1280b14.
II. more freq. in Med., ἅπτομαι, fut. ἅψομαι, aor. “ἡψάμην” E.Supp.317, with pf. Pass. “ἧμμαι” S.Tr.1010(lyr.), Pl. Phdr.260e:—fasten oneself to, grasp, c.gen., “ἅψασθαι γούνων” Il.1.512; “χειρῶν” 10.377; “ἁψαμένη δὲ γενείου Ὀδυσσῆα προσέειπεν” Od.19.473; “ἅπτεσθαι νηῶν” Il.2.152; “βρώμης δ᾽ οὐχ ἅπτεαι οὐδὲ ποτῆτος;” Od.10.379, cf. 4.60; “ὡς δ᾽ ὅτε τίς τε κύων συὸς . . ἅπτηται κατόπισθε . . ἰσχία τε γλουτούς τε” Il.8.339; “ἅπτεσθαι τοῦ ἐπεόντος ἐπὶ τῶν δενδρέων καρποῦ” Hdt.2.32; “τῶν τύμβων ἁπτόμενοι” Id.4.172; ἅπτεσθαί τινος, Lat. manus inicere alicui, Id.3.137; “οὔτ᾽ ἔθιγεν οὔθ᾽ ἥψαθ᾽ ἡμῶν” E.Ba.617; τῶν σφυγμῶν feel the pulse, Arr.Epict.3.22.73: metaph., take hold of, cleave to, Pl.Lg.967c.
b. abs., τῶν μὲν γὰρ πάντων βέλε᾽ ἅπτεται for the spears of all the Trojans reach their mark, Il.17.631; “ἀμφοτέρων βέλε᾽ ἥπτετο” 8.67.
III. metaph., engage in, undertake, “βουλευμάτων” S.Ant.179; “ἀγῶνος” E. Supp.317; πολέμου prosecute it vigorously, Th.5.61; “ἧπται τοῦ πράγματος” D.21.155; “ψυχὴ ἡμμένη φόνων” Pl.Phd.108b, cf. E.IT381; “τῶν μεγίστων ἀσεβημάτων” Plb.7.13.6; so “ἅ. τῆς μουσικῆς καὶ φιλοσοφίας” Pl.R.411c; ἐπιτηδεύματος ib.497e; “γεωμετρίας” Id.Plt.266a; “τῆς θαλάττης” Plb.1.24.7; “ἅπτεσθαι λόγου” E.Andr.662, Pl.Euthd.283a (but ἅπτεσθαι τοῦ λόγου attack, impugn the argument of another, Id.Phd. 86d); τούτων ἥψατο touched on these points, handled them, Th.1.97; “ἅ. τῆς ζητήσεως” Arist.GC320b34; but also, touch on, treat superficially, Pl.Lg.694c, Arist.EE1227a1.
2. fasten upon, attack, Pi.N.8.22, A.Ag. 1608, etc.; “μόνον τῷ δακτύλῳ” Ar.Lys.365; “τῆς οὐραγίας” Plb.2.34.12; esp. with words, Hdt.5.92.γ́; of diseases, “ἧπταί μου” S.Tr.1010, cf. Gal.15.702; “ἥψατο τῶν ἀνθρώπων” Th.2.48; ὅσα ἅπτεται ἀνθρώπων all that feed on human flesh, ib.50.
3. touch, affect, “ἄλγος οὐδὲν ἅπτεται νεκροῦ” A.Fr.255, cf. S.OC955; “ἅπτει μου τοῖς λόγοις τῆς ψυχῆς” Pl.Ion535a; “τῆς ἐμῆς ἥψω φρενός” E.Rh.916; “ὥς μου χρησμὸς ἅ. φρενῶν” Ar.Eq.1237; make an impression upon, “ἡμῶν” OGI315.56 (Pessinus, ii B. C.).
6. come up to, reach, overtake, X.HG5.4.43; attain, “τῆς ἀληθείας” Pl.Phd.65b; “τοῦ τέλους” Id.Smp.211b: in Pi., c. dat., “ἀγλαΐαις” P.10.28; “στάλαισιν Ἡρακλείαις” Id.I.4(3).12; but also c. gen., “Ἡρακλέος σταλᾶν” Id.O.3.44.
8. Geom., of bodies and surfaces, to be in contact, Arist.Ph.231a22, cf. Metaph.1002a34, al., S.E.M.3.35; of lines or curves, meet, Euc.3Def.2; touch, Id.4Def.5, Archim. Sph.Cyl.1.28; pass through a point, Euc.4Defs.2,6; of points, lie on a line or curve, ib.Defs.1,3; ἅπτεται τὸ σημεῖον θέσει δεδομένης εὐθείας the locus of the point is a given straight line, Id. ap. Papp.656.6,al.
B. Act., kindle, set on fire (i.e. by contact of fire), Hdt.8.52, etc. (so in Med., Call.Dian.116); “ἐρείκης θωμὸν ἅψαντες πυρί” A.Ag.295: metaph., “πυρσὸν ὕμνων” Pi.I.4(3).43:—Pass., to be set on fire, “ὁ μοχλὸς ἐλάϊνος ἐν πυρὶ μέλλεν ἅψεσθαι” Od.9.379; ὡς ἅφθη τάχιστα τὸ λήιον . . ἅψατο νηοῦ as soon as the corn caught fire, it set fire to the temple, Hdt.1.19; πυρῆς ἤδη ἁμμένης ib.86; “ἧπται πυρί” E.Hel.107.
II. ἅ. πῦρ kindle a fire, ib.503:—Pass., ἄνθρακες ἡμμένοι red-hot embers, Th.4.100; “δᾷδ᾽ ἐνεγκάτω τις ἡμμένην” Ar.Nu.1490, cf. Pl.301.
III. cook, Alex.124.1.