τὼ .

A. change over: once in Hom., τὼ . . ὁμοιΐον πτολέμοιο πεῖραρ ἐπαλλάξαντες ἐπ’ ἀμφοτέροισι τάνυσσαν crossing, i.e. tying, the rope-end of balanced war, Il. 13.359 (vv.ll. τοί, ἀλλήλοισι, in which case the metaph. is from a tug of war, pulling alternately this way and that); ἐ. ἅλματα ἐμποιοῦντες ἴχνεσιν ἴχνη interchange leaps, i.e. one to leap into the other's steps, X. Cyn. 5.20 (cf. ἐπηλλαγμένα [ἴχνη] 8.3); of καρχαρόδοντα, ἐ. τοὺς ὀδόντας have their teeth fitting in like two saws, Arist. HA 501a18:—Med., [νεῦρα] ἀλλήλοισι ἐπαλλαξάμενα ἐς χιασμὸν σχήματος Aret. SD 1.7:—Pass., cross one another, δόρατα . . ὡς ἥκιστα ἂν ἀλλήλοις ἐπαλλάττοιτο X. Eq.Mag. 3.3; ἐπηλλαγμέναις δῑ ἀλλήλων ταῖς χερσίν with the arms crossed, Plu. Luc. 21; θώρακες ἁλύσεσι λεπταῖς σιδηραῖς ἐπηλλαγμένοι Arr. Tact. 3.5; ποὺς ἐπαλλαχθεὶς ποδί closely joined, E. Heracl. 836: metaph., μή πῃ ὁ λόγος ἐπαλλαχθῇ that it be not entangled, X. Mem. 3.8.1; of permutations and combinations, ‐όμεναι συζυγίας ἀποτελοῦσιν ἐννέα Gal. 6.112.
II. intr., alternate, ὀδόντες ἐπαλλάσσοντες interlocking teeth, Arist. PA 661b18; of leaves, dub. in Thphr. HP 4.6.10.
2. overlap, of classes or species, ib.1.3.2; ἀλλήλοις Arist. GA 733a27; τοῦτο μόνον ἐ. overlaps both classes, ib.774b17; ἡ φώκη ἐ. τῷ γένει τῶν ἰχθύων forms a link with . ., Id. HA 501a22; ταῦτα συνδυαζόμενα ποιεῖ τὰς πολιτείας ἐπαλλάττειν causes them to overlap, Id. Pol. 1317a2; so διὰ τὸ τὴν δύναμιν ἐπαλλάττειν αὐτῶν (sc. two species of τυραννίς)καὶ πρὸς τὴν βασιλείαν ib.1295a9; ὃ ποιεῖ τοὺς λόγους ἐ. makes the arguments confused, ib.1255a13, cf. 1257b35.
b. become confused or intermixed, ἐ. τὰ μόρια Id. GA 769b34; to be interchangeable with, τὰ νοσώδη ἐ. τοῖς βραχυβίοις Id. Long. 464b28.
3. ἐ. τοῦτο τὸ σύμπτωμα τοῖς τοιούτοις this accident invades, makes its way into this class, Id. GA 770b6.
Liddell, Scott & Jones
A Greek-English Lexicon, 1940
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