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Definition of quadrantal : 1. A cube.
2. A cubical vessel containing a Roman cubic foot, each side being a Roman square foot; - used as a measure.
3. Of or pertaining to a quadrant; also, included in the fourth part of a circle; as, quadrantal space.

Usage examples:

• I proposed to fix there a fan- roof of quadrantal form, covering the upper flat stone of the external steps. - "Autobiography of Sir George Biddell Airy", George Biddell Airy.