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The Collaborative International Dictionary
Equiponderate

Equiponderate \E`qui*pon"der*ate\, v. t. To make equal in weight; to counterbalance. ``More than equiponderated the declension in that direction.''
--De Quincey.

Equiponderate

Equiponderate \E`qui*pon"der*ate\, v. i. [Equi- + L. ponderare to weigh. See Ponderate.] To be equal in weight; to weigh as much as another thing.
--Bp. Wilkins.

Wiktionary
equiponderate

vb. To counterbalance.