All 6 Uses

on the other hand
in
Howards End
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On the other hand, I laugh at them for catching hay fever.†
Part 1 *
But, on the other hand, they were not "Germans of the dreadful sort."†
Part 4
And on the other hand, I don't the least mind if you find out, so don't you think you've done anything clever, in either case.†
Part 5
And Margaret, on the other hand, has made a fair show of modesty, and has pretended to an inexperience that she certainly did not feel.†
Part 9
On the other hand, he had told her to keep in the dry, and the porch was beginning to drip.†
Part 23
Tibby, on the other hand, had no opinions.†
Part 39

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)