dichotomize

To separate into two parts, to classify into two classes, or to categorize into two categories.

The apostolical benediction dichotomizes all good things into grace and peace.

Also, societies cannot be dichotomized into hunter-gatherer bands and agricultural civilizations.

To be divided into two.

To exhibit as a half disk.

If the moon was a perfectly smooth sphere […] the place when she was dichotomized, […] would depend upon the sun's distance from the earth.