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Webster 1913 Edition

adv.

In an emulous manner.

adv.

With desire of equaling or excelling another.

emulously ‎(comparative more emulously, superlative most emulously)

In an emulous manner; ambitiously or competitively.
- 1886, Robert Louis Stevenson, Strange Case of Dr Jekyll and Mr Hyde
  The inhabitants were all doing well, it seemed, and all emulously hoping to do better still...