Senses
一边/ 一邊 one side
one side; either side; to one side; aside
一边/ 一邊 while
Used in the pattern 一边...一边... to indicate that two actions are happening at the same time
一边/ 一邊 equally
Colloquial use meaning equally, the same size, or the same age.
一边/ 一邊 on the one hand
one aspect of a matter; on the one hand; on the other hand