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Latin word sagax comes from Latin sagio, Latin -ax
sagio (Latin)
I perceive acutely with the intellect.. I perceive quickly or keenly with the senses.
-ax (Latin)
Used to form adjectives expressing a tendency or inclination to the action of the root verb; -ish, -y.
sagax (Latin)
Intellectually quick, keen, acute, shrewd, sagacious. Of quick perception, having acute senses; keen-scented.