All 5 Uses

on the other hand
in
Nineteen Minutes
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On the other hand, a pessimist was someone with expectations lower than reality, a fraction of diminishing returns.†
Chpt 1 *
On the other hand, tell the Average Joe that being married had the same effect on overall happiness as an additional $100,000 a year, and it put things into perspective.†
Chpt 1
On the other hand, I can't lie about the things I don't know.†
Chpt 1
On the other hand, once her mother did start piecing together the events of that day, what else would she figure out?†
Chpt 1
On the other hand, every single member of that jury will have been through high school.†
Chpt 1

Definitions:

(1) (on the other hand)
from another point of view; or in a way that is different (a phrase used to introduce a different perspective or idea)
(2) (meaning too rare to warrant focus)