William Watson Goodwin, Syntax of the Moods and Tenses of the Greek Verb

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[*] 147. 1. The perfect participle can always be used with the verbs of 144 to denote an action which is completed at the time of the leading verb. This is the most common way of expressing past time in the participle here. E.g.

• “Ἐτύγχανον ἄρτι παρειληφότες τὴν ἀρχήν,” “they happened to have just received their authority.” THUC. vi. 96.
• “Ἐάν τις ἠδικηκώς τι τυγχάνῃ τὴν πόλιν,” “if it ever happens that one has wronged the city.” DEM. xviii. 123.

So THUC. i. 103 (see 887).

2. The present participle with these verbs is regular, representing an action as going on at the time of the verb. See PLAT. Crit. 49B and the four following examples (with others), in 887.