Perseus analyses of ἥψατο:

ἅπτω (fasten): aor ind mid 3rd sg (attic epic ionic)
ἥψᾱτο,ἑψάω: plup ind mp 3rd sg (doric aeolic)

LSJ entries

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ἅπτω

ἅπτω, fut. ἅψω: aor. ἧψα:—Pass., pf. ἧμμαι, Ion. ἅμμαι Hdt. 1.86: fut. ἅψομαι Od. 9.379, ἁφθήσομαι (συν-) Gal. 3.311:—Med., v.infr. (cf. ἑάφθη):—

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 δʼ οὐχ ἅπτεαι οὐδὲ ποτῆτος; Od. 10.379, cf. 4.60; ὡς δʼ 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; οὔτʼ ἔθιγεν οὔθʼ ἥψαθʼ 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 βέλεʼ ἅπτεται for the spears of all the Trojans reach their mark, Il. 17.631; ἀμφοτέρων βέλεʼ ἥπτετο 8.67.

c. ἅ. τῆς γῆς land, D.S. 4.48.

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. IT 381; 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. GC 320b34; but also, touch on, treat superficially, Pl. Lg. 694c, Arist. EE 1227a1.

b. abs., begin, set to work, ταῖς διανοίαις Ar. Ec. 581.

b. lay hands on, χρημάτων Pl. Lg. 913a; τῶν ἀλλοτρίων Id. R. 360b, etc.

4. grasp with the senses, perceive, S. OC 1550, Pl. Phd. 99e; apprehend, τῆς αἰτίας Arist. Resp. 472a3.

5. have intercourse with a woman, Pl. Lg. 84c a, Arist. Pol. 1335b40, 1 Ep.Cor. 7.1; εὐνῆς E. Ph. 946.

7. make use of, avail oneself of, τῆς τύχης E. IA 56.

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. 3 Def. 2; touch, Id. 4Def. 5, Archim. Sph.Cyl. 1.28; pass through a point, Euc. 4 Defs. 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.

II. ἅ. πῦρ kindle a fire, ib.503:—Pass., ἄνθρακες ἡμμένοι red-hot embers, Th. 4.100; δᾷδʼ ἐνεγκάτω τις ἡμμένην Ar. Nu. 1490, cf. Pl. 301.

III. cook, Alex. 124.1.

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ἑψέω

ἑψέω, ἑψάω,