[dih-vurj, dahy-]
verb (used without object), diverged, diverging.
to move, lie, or extend in different directions from a common point; branch off.
to differ in opinion, character, form, etc.; deviate.
Mathematics. (of a sequence, series, etc.) to have no unique limit; to have infinity as a limit.
to turn aside or deviate, as from a path, practice, or plan.
verb (used with object), diverged, diverging.
to deflect or turn aside.

1655–65; < Medieval Latin dīvergere, equivalent to Latin dī- di-2 + vergere to incline

nondiverging, adjective
undiverging, adjective

digress, diverge, diverse.

1. separate, deviate, fork. 4. See deviate.
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
diverge (daɪˈvɜːdʒ)
1.  to separate or cause to separate and go in different directions from a point
2.  (intr) to be at variance; differ: our opinions diverge
3.  (intr) to deviate from a prescribed course
4.  (intr) maths (of a series or sequence) to have no limit
[C17: from Medieval Latin dīvergere, from Latin di-² + vergere to turn]

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Word Origin & History

1660s, from L. divergere "go in different directions," from dis- "apart" + vergere "to bend, turn" (see verge (v.)). Originally a term in optics; the figurative sense is 19c. Related: Diverged; diverging.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Beneath the diverging air, surface pressure drops and an equatorial trough
Between the two lies an abyss separating two cultures, two habits of mind, two
  diverging tongues.
Everybody must have discerned in the action of his mind two diverging
  tendencies, which in this novel, are harmonized.
Surveys of leisure habits often show diverging results.
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