dichotomize

verb3

1. •
   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. — 1623
2. •
   To be divided into two.
3. •
   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. — 1837