The participle is like a verb herein:
a. It shows the distinctions of voice and tense. Its tenses mark action simply occurring, continuing, and completed.
b. It can have an object in the same case (genitive, dative, accusative) as the finite forms.
c. It is modified by adverbs, not by adjectives.
d. It may take ἄν, and, with that particle, represents ἄν with the indicative or ἄν with the optative ( cross1845 ff.).
Herbert Weir Smyth [n.d.], A Greek Grammar for Colleges; Machine readable text [info] [word count] [Smyth].