Possibility of Motion and Alteration Occurring All at Once

Notes

1. §26b.1ὑπὲρ δὲ τοῦ κινεῖσθαι τὸ κινούμενον καὶ κεκινῆσθαι τὸ κεκινημένον — An articular infinitive clause in the genitive case introduced by the preposition ὑπέρ ('concerning'). The single genitive article τοῦ governs two coordinate clauses consisting of an accusative subject and an infinitive: 'τὸ κινούμενον κινεῖσθαι' (that what is in motion is moving) and 'τὸ κεκινημένον κεκινῆσθαι' (that what has moved is in a state of having completed its motion). The present infinitive κινεῖσθαι indicates an ongoing process, while the perfect infinitive κεκινῆσθαι denotes the completed state of motion.
2. §26b.1δεῖν ἄρα γε ἐνδέχεται λέγειν — The infinitive δεῖν ('to be necessary') functions as the subject (or complement) of the impersonal verb ἐνδέχεται ('it is possible'), forming the sense 'is it possible that it is necessary [to say...]'. The particles ἄρα γε introduce a tentative or investigative question regarding the logical consequence.
3. §26b.1ὡς οὐκ ἀεὶ τὸ ἥμισυ πρῶτον, ἀλλʼ ἐνίοτε ἀθρόον γε — An explanatory ὡς clause specifying the content of the preceding relative pronoun ὃ. As indicated by the phrase κατὰ τὴν ἀλλοίωσιν ('with respect to alteration'), it describes a situation where the process of change does not always proceed continuously by passing through the half (τὸ ἥμισυ) first, but can sometimes occur all at once (ἀθρόον) as a whole. The verb (e.g., 'changes') is ellipted and must be supplied from the context.