Etymology
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diverge (v.)

1660s, "move or lie in different directions from a common point" (the opposite of converge), from Modern Latin divergere "go in different directions," from assimilated form of dis- "apart" (see dis-) + vergere "to bend, turn, tend toward" (from PIE root *wer- (2) "to turn, bend").

Originally a term in optics. The general or figurative senses of "become or be separated from another; differ from a typical form" emerged by mid-19c. Related: Diverged; diverging.

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Definitions of diverge

diverge (v.)
move or draw apart;
The two paths diverge here
diverge (v.)
have no limits as a mathematical series;
diverge (v.)
extend in a different direction;
The lines start to diverge here
Their interests diverged
diverge (v.)
be at variance with; be out of line with;
Synonyms: deviate / vary / depart
From wordnet.princeton.edu