In a way that uses analysis; in a manner that carefully examines something by breaking it into parts.
From 'analytic' (relating to analysis) plus the adverbial suffix '-ally'. The term has been used in philosophical and scientific English since the 1600s.
When mathematicians work 'analytically,' they prove something is true by logical reasoning, whereas 'geometrically' they might draw it—two completely different methods of understanding the same truth.
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