also re-mount, late 14c., remounten, "restore, revive, return to a former state," also "put on horseback again;" from Anglo-French remounter, Old French remonter "to climb up, ascend again," from re- (see re-) + monter (see mount (v.)). From late 15c. as "to go up again," 1620s as "to raise (something) up again." From 1620s of guns; 1680s of cavalry regiments. Related: Remounted; remounting.

1590s, from French ultramontain "beyond the mountains" (especially the Alps), from Old French (early 14c.), from Latin ultra "beyond" (from suffixed form of PIE root *al- (1) "beyond") + stem of mons "hill" (from PIE root *men- (2) "to project"). Used especially of papal authority, though "connotation varies according to the position of the speaker or writer." [Weekley]

mid-14c., amonesten "remind, urge, exhort, warn, give warning," from Old French amonester "urge, encourage, warn" (12c.), from Vulgar Latin *admonestare, from Latin admonere "bring to mind, remind (of a debt);" also "warn, advise, urge," from ad "to," here probably with frequentative force (see ad-) + monere "to admonish, warn, advise," from PIE *moneie- "to make think of, remind," suffixed (causative) form of root *men- (1) "to think."

The -d- was restored on Latin model in English as in French (Modern French admonester). The ending was influenced by words in -ish (such as astonish, abolish). Related: Admonished; admonishing. Latin also had commonere "to remind," promonere "to warn openly," submonere "to advise privately" (source of summon).