having an extra syllable on the end of a line of verse
see Catalectic.
• (a.) Having a syllable or two beyond measure; as, a hypercatalectic verse.
A hypercatalectic line is a line of poetry with extra syllables in it beyond the expected number due
Hy`per·cat`a·lec'tic adjective [ Latin hypercatalecticus , hypercatalectus , Greek ...: confer French hypercatalectique . See Hyper- , and Catalectic .] (Pros.) Having a syllable or two beyond measure; as, a hypercatalectic verse. 
Line possessing an extra syllable after the last, normal foot of the meter. Such lines can also be known as hypermetrical or extrametrical.
[adj] - (verse) having an extra syllable or syllables at the end of a metrically complete verse or in a metrical foot
adjective (verse) having an extra syllable or syllables at the end of a metrically complete verse or in a metrical foot
(of a line of verse) containing an additional syllable after the last dipody or foot. Cf. acatalectic (def. 2),