dichotomize

Etymology

From Ancient Greek διχότομος (dikhótomos) + -ize.

verb

1. (transitive) 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. 1623-12-26, Joseph Hall, “Sermon XI: The Glory of the Latter House”, in The Works of Joseph Hall, D.D., volume 5, Oxford: D. A. Talboys, published 1837, page 165
   Also, societies cannot be dichotomized into hunter-gatherer bands and agricultural civilizations. 2011, Steven Pinker, The Better Angels of Our Nature, Penguin, published 2012, page 49
2. (intransitive) To be divided into two.
3. (astronomy) 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, Rev. William Whewell, History of the Inductive Sciences from the Earliest to the Present Time, volume 1, pages 155–156