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The Collaborative International Dictionary
Symmetrizing

Symmetrize \Sym"me*trize\, v. t. [imp. & p. p. Symmetrized; p. pr. & vb. n. Symmetrizing.] [Cf. F. sym['e]triser.] To make proportional in its parts; to reduce to symmetry.
--Burke.

Wiktionary
symmetrizing

vb. (present participle of symmetrize English)