Lewis & Short

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ac-quĭesco (adqu.), ēvi, ētum, 3, v. n., lit., to become physically quiet, to come to physical repose; hence, in gen., to repose or rest (freq. in Cic.).

  1. I. Lit.: sine respirem, quaeso. Pe. Immo adquiesce, Plaut. Ep. 2, 2, 20; id. As. 2, 2, 60: vitandi caloris causā Lanuvii trīs horas acquieveram, Cic. Att. 13, 34: a lassitudine, Nep. Dat. 11, 3: somno, Curt. 9, 5, 16; cf.: gravi sopore, id. 6, 10, 6, and absol. of sleep, id. 8, 6, 3: cum aures extremum semper exspectent in eoque acquiescant, Cic. Or. 59.
    By euphemism (as in all languages), to die (esp. after a wearisome life): sic vir fortissimus multis variisque perfunctus laboribus, anno acquievit septuagesimo, Nep. Hann. 13, 1; cf. morte, Tac. A. 14, 64; and in many epitaphs: HIC ADQVIESCIT, etc., Inscr. Orell. 2313; 4084; 4491 al.; so, quiesco, q. v.
  2. II. Fig.
    1. A. To come to a state of repose in relation to one’s wishes, desires, etc.; to repose in; to find rest, pleasure, etc., in; to rejoice in; in Cic. mostly with in, and of things: in the historians and later writers, with dat. or abl., and also of persons: quae delectet, in qua acquiescam, Cic. Att. 4, 16: senes in adulescentium caritate acquiescimus, id. Lael. 27; id. Fin. 3, 2, 6: qui jam aetate provecti in nostris libris acquiescunt, id. Div. 2, 2, 5. Examples in Cic. of a person: tecum ut quasi loquerer, in quo uno acquiesco, Att. 9, 10, and with abl.: qui maxime P. Clodii morte acquierunt, id. Mil. 37, 102: cui velut oraculo acquiescebat, Suet. Vit. 14: uno solatio acquiescens, id. Cal. 51; id. Tib. 56: amicos elegit, quibus etiam post eum principes acquieverunt, id. Tit. 7.
    2. B. To be satisfied with, to acquiesce in or give assent to: tu, cum es commotus, acquiescis, assentiris, approbas (where the climax of the ideas should be noticed, you accede to them, i. e. you cease to oppose them; you assent to them, i. e. you make known your approbation by words), Cic. Ac. 2, 46, 141; so Suet. Vit. 14; Dig. 24, 3, 22, § 6; 38, 1, 7 al.

adquĭesco, adquīro, adquīsītĭo, v. acquiesco, etc.