Some Latin poets do not make use of alliteration, others try to avoid it, but is very frequent in Lucretius and sometimes quite heavy. It seems Ennius commonly used alliteration, but after him it came to be less popular (thought to be too obvious or simple for "golden age" Latin). It is therefore one of the Lucretian anachronisms. An early example from DRN is used at 1.86 "Ductôrēs dánaum (dēléctī prîma virôrum), The leaders of the Greeks, selected as first among men." Most editors point out the alliteration in this case is used to mock the idea Lucretius is expressing.
We have a good example at 1.200 "nōn pótuit pédibus quī póntum per váda póssent... [so why has Nature] not been able [to make men so large] who on foot would be able to go across the sea through the shallows..."