rājñām - of the kings; brahma-prasūtānām - born originally from Brahmā; vamśaḥ - dynasty; trai-kālikaḥ - extending into the three phases of time (past, present and future); anvayaḥ - the series; vamśa-anucaritam - histories of the dynasties; teṣām - of these dynasties; vṛttam - the activities; vamśa dharāḥ - the prominent members of the dynasties; ca - and; ye - which.

Dynasties are lines of kings originating with Lord Brahmā and extending continuously through past, present and future. The accounts of such dynasties, especially of their most prominent members, constitute the subject of dynastic history.