Revelation of John 13:3

3One of the beast’s
Grk “one of its heads”; the referent (the beast) has been specified in the translation for clarity. Here καί (kai) has not been translated because of differences between Greek and English style.
heads appeared to have been killed,
Grk “killed to death,” an expression emphatic in its redundancy. The phrase behind this translation is ὡς ἐσφαγμένον (hōs esfagmenon). The particle ὡς is used in Greek generally for comparison, and in Revelation it is used often to describe the appearance of what the author saw. In this instance, the appearance of the beast’s head did not match reality, because the next phrase shows that in fact it did not die. This text does not affirm that the beast died and was resurrected, but some draw this conclusion because of the only other use of the phrase, which refers to Jesus in 5:6.
but the lethal wound had been healed.
The phrase τοῦ θανάτου (tou qanatou) can be translated as an attributive genitive (“deathly wound”) or an objective genitive (the wound which caused death) and the final αὐτοῦ (autou) is either possessive or reference/respect.
And the whole world followed
On the phrase “the whole world followed the beast in amazement,” BDAG 445 s.v. θαυμάζω 2 states, “wonder, be amazed…Rv 17:8. In pregnant constr. ἐθαυμάσθη ὅλη ἡ γῆ ὀπίσω τ. θηρίου the whole world followed the beast, full of wonder 13:3 (here wonder becomes worship: cp. Ael. Aristid. 13 p. 290 D.; 39 p. 747 of Dionysus and Heracles, οἳ ὑφ᾿ ἡμῶν ἐθαυμάσθησαν. Sir 7:29; Jos., Ant. 3, 65. - The act. is also found in this sense: Cebes 2, 3 θ. τινά = ‘admire’ or ‘venerate’ someone; Epict. 1, 17, 19 θ. τὸν θεόν).”
the beast in amazement;
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