An Etymological Dictionary of Astronomy and Astrophysics

(v.intr.) To move, or extend in different directions from a common point.
Math.: Of a sequence or series, to have no unique limit.

Etymology (EN): M.L. divergere, from → di- “apart,” variant of → dis- + vergere “to bend, turn, incline,” from PIE *werg- “to turn,” from base *wer- “to turn, bend” (cf. L. vertere “to turn,” Av. varət- “to turn,” Mod.Pers. gard, gardidan “to turn,” Skt. vartate “turns round, rolls,” Gk. rhatane “stirrer, ladle,” Ger. werden, O.E. weorðan “to become.”

Etymology (PE): Verâyidan, from vâ- “apart,” → de-, + gerâyidan “to incline toward; to intend; to make for,” infinitive of gerâ, the etymology of which is not clear. Gerâ may be a variant of Mod.Pers. kil “bent, inclined” (k/g and l/r interchanges),
from PIE base *klei- “to lean, incline,” cognate with L. clinare “to bend” (E. declination, inclination, etc.), Gk. klinein “to cause to slope, slant, incline,” Skt. sri- “to lean,” O.Pers. θray-, Av. sray- “to lean,” P.Gmc. *khlinen (Ger. lehnen, E. lean).