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Webster 1828 Edition

Adj.

Not ceasing; not intermitting; continual.

unceasing ‎(comparative more unceasing, superlative most unceasing)

continuous; continuing indefinitely without stopping
- 1841, William Johnstoun N. Neale, The naval surgeon (page 136)
  The unceasing fatigue of my daily walks to and from Clapham, with my various trudgings from one Doctor Humbug to another Doctor Whimsical, combined with the before-mentioned causes to affect my health.