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The Collaborative International Dictionary
Homonymously

Homonymously \Ho*mon"y*mous*ly\, adv.

  1. In an homonymous manner; so as to have the same name or relation.

  2. Equivocally; ambiguously.

Wiktionary
homonymously

adv. 1 In a homonymous manner, so as to have the same name or relation. 2 equivocally; ambiguously.