Lewis & Short

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allŏquĭum (adl-), ii, n. [alloquor], a speaking to, addressing, an address, exhortation, encouragement, consolation, etc. (postAug.): adloquio leni perlicere homines ad dedendam urbem, Liv. 25, 24: fortunam benigno adloquio adjuvabat, id. 1, 34: blandioribus adloquiis prosequi, Plin. Ep. 1, 8: adloquio militem firmare, Tac. H. 3, 36; Ov. Tr. 1, 8, 18; * Hor. Epod. 13, 18 al.
In Luc., in gen., = colloquium, conversation: longis producere noctem adloquiis, 10, 174.

al-lŏquor (adl-), cūtus, 3, v. dep. a.: aliquem, to speak to, to address, esp. used in greeting, admonishing, consoling. etc.; hence also, to salute; to exhort, rouse; to console (cf. in Gr. παραμυθέομαι; in the ante-class. and class. per. rare; in Cic. only twice; more freq. from the time of the Aug. poets).

  1. I. To speak to, to address: quem ore funesto adloquar? Att. ap. Non. 281, 6: admones et adloqueris, Vulg. Sap. 12, 2: hominem blande adloqui, Ter. Phorm. 2, 1, 22; so id. And. 2, 2, 6: quem nemo adloqui vellet, Cic. Clu. 61; so Auct. ad Her. 4, 15, 22; Ov. M. 15, 22; 8, 728; 11, 283; 13, 739; Verg. A. 6, 466 al.: senatum, compositā in magnificentiam oratione, adlocutus, Tac. H. 3, 37; so id. A. 16, 91; id. Agr. 35: adlocutus est (eis) linguā Hebraeā, Vulg. Act. 21, 40; 28, 20.
  2. II. Esp.
    1. A. To address the gods in thanksgiving and prayer: dis gratias agere atque adloqui, Plaut. Am. 1, 1, 26; 1, 1, 232; so, patriam adlocuta maestast ita voce miseriter, Cat. 63, 49.
    2. B. To address, as a general his troops, to exhort, to rouse: quae ubi consul accepit, sibimetipsi circumeundos adloquendosque milites ratus, Liv, 10, 35: (Alexander) variā oratione milites adloquebatur, Curt. 3, 10, 4: neque milites adlocuturo etc., Suet. Galb. 18; id. Caes. 33.
    3. C. In consolation, to speak to, to console, to comfort: adlocutum mulieres ire aiunt, cum eunt ad aliquam locutum consolandi causā, Varr. L. L. 6, 7, 66: adloqui in luctu, Sen. Troad. 619: adflictum adloqui caput, id. Oedip. 1029 P. and R.