different between circumstantially vs conditionally

English

circumstantial +? -ly

circumstantially (comparative more circumstantially, superlative most circumstantially)

in a circumstantial manner
In respect to circumstances; not essentially; accidentally.
- 1665, Joseph Glanvill, Scepsis Scientifica
  Of the fancy and intellect, the powers are only circumstantially different.
In every circumstance or particular; minutely.
- 1665, Robert Boyle, New Experiments and Observations Touching Cold
  To set down somewhat circumstantially, not only the events, but the manner of my trials.

conditional +? -ly

conditionally (comparative more conditionally, superlative most conditionally)

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