CONTRARIWISE
contrarily, to the contrary, contrariwise, on the contrary
(adverb) contrary to expectations; “he didn’t stay home; on the contrary, he went out with his friends”
perversely, contrarily, contrariwise
(adverb) in a contrary disobedient manner
Source: WordNet® 3.1
Etymology
Adverb
contrariwise (not comparable)
in the contrary or opposite way, order, or direction
on the other hand
Synonyms
• (on the contrary): See also contrarily
Source: Wiktionary
Con"tra*ri*wise ( or , adv.
1. On the contrary; oppositely; on the other hand.
Not rendering evil for evil, or railing for railing; but
contrariwise, blessing. 1 Pet. iii. 9.
2. In a contrary order; conversely.
Everything that acts upon the fluids must, at the same time, act upon
the solids, and contrariwise. Arbuthnot.
Source: Webster’s Unabridged Dictionary 1913 Edition