LATIN DICTIONARYLexicon Latīnum
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“balance” in Latin

The English word balance itself goes back to Latin lanx, through *bilancia.

Riddle & Arnold A Copious and Critical English–Latin Lexicon, 1864

balance s.
for weighing: trutina (τρυτάνη PROP. the hole in which the tongue of the balance plays: then general term for balance: trutinae, quae staterae dicuntur, Vitr., 10, 3, 8, 4): libra (a pair of scales): statera (mostly steel-yard; seldom pair of scales): lanx (the scale of the balance): to weigh in a balance, pendere; trutina examinare (Cic., De Or., 2, 38, 159): not to weigh in too nice a balance, non aurificis statera, sed populari trotina examinare: librare.
Equality of weight, momentum par [not aequilibritas, or aequilibrium. Vid: Dict.] . The balance is destroyed, portionum aequitas turbatur: to disturb the balance of the mind, aequitatem animi turbare (Sen.): in a balance, pari momento, or suis ponderibus libratus: to maintain a balance of power, providere, ne aequa civitatum conditio turbetur: to lose one’s balance, labi.
That which is wanting to make equal, or the difference, quod reliquum restat.
Of a watch, libramentum.
Fig., consideratio; reputatio; deliberatio; comparatio.
balance v.
to keep in equilibrium, aliquid suis ponderibus librare. INTR., suis ponderibus librari (after Cic., Tusc, 5, 24, 69): librare; pendere; pensare; ponderare; trutina examinare: to balance virtues and vices against each other, perpendere vitia virtutesque: to balance every word, unumquodque verbum statera examinare (Varr., Non., 455, 21; Cic., De Or., 2, 38, 159).
To balance an account, rationes consolidare (Cic.).
To balance or make equal, adaequare aliquid cum aliquo.

Quick answer

What is the Latin word for balance?
The usual Latin words for “balance” are trutina, lībra, statēra; also lanx, lībrāmentum, cōnsīderātiō. The right choice depends on the sense; see the distinctions below.

Entry from J. E. Riddle & T. K. Arnold, A Copious and Critical English–Latin Lexicon (rev. C. Anthon, New York: Harper, 1864), digitised by Fergus J. P. Walsh, CC BY-SA 4.0; Latin markup adapted by latindictionary.co.