dualize
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To dualize the Union, assuming its boundaries to be fixed, was one thing.
From Lincoln; An Account of his Personal Life, Especially of its Springs of Action as Revealed and Deepened by the Ordeal of War by Nathaniel W. (Nathaniel Wright) Stephenson
To dualize the Union in the face of a movement for extension of boundaries was another.
From Lincoln; An Account of his Personal Life, Especially of its Springs of Action as Revealed and Deepened by the Ordeal of War by Nathaniel W. (Nathaniel Wright) Stephenson
Every theorem in Euclidean geometry can be dualized in projective geometry, setting up a whole set of new theorems in the parallel universe of projective geometry.
From "Zero: The Biography of a Dangerous Idea" by Charles Seife
The whole theory thus far developed may be dualized, and a theory of lines in involution may be built up, starting with the complete quadrilateral.
From An Elementary Course in Synthetic Projective Geometry by Derrick Norman Lehmer
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