[ Etymonline : ] arrogance (n.)
c. 1300, from Old French arrogance (12c.),
from Latin arrogantia,
from arrogantem (nominative arrogans) "assuming, overbearing, insolent," present participle of [2.] arrogare "to claim for oneself, assume,"
[1.] from ad- "to" (see ad-) + rogare "ask, propose" (see rogation).
Please see the entitled question:
How did the compounding of 'ad-' + 'rogare' generate the meanings in 2?
How did 'ad-' augment the semantic field of 'putare', to enable the semantic shift from 1 to 2?
What semantic notions underlie 1 and 2?
What are the semantic meaning and role of the prefix 'ad-' here?