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The Collaborative International Dictionary
Eulogistically

Eulogistic \Eu`lo*gis"tic\, Eulogistical \Eu`lo*gis"tic*al\, a. Of or pertaining to eulogy; characterized by eulogy; bestowing praise; panegyrical; commendatory; laudatory; as, eulogistic speech or discourse. -- Eu"lo*gis"tic*al*ly, adv.

Wiktionary
eulogistically

adv. In the form or manner of a eulogy; with praise.