Etymology
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Words related to agree

ad- 

word-forming element expressing direction toward or in addition to, from Latin ad "to, toward" in space or time; "with regard to, in relation to," as a prefix, sometimes merely emphatic, from PIE root *ad- "to, near, at."

Simplified to a- before sc-, sp- and st-; modified to ac- before many consonants and then re-spelled af-, ag-, al-, etc., in conformity with the following consonant (as in affection, aggression). Also compare ap- (1).

In Old French, reduced to a- in all cases (an evolution already underway in Merovingian Latin), but written forms in French were refashioned after Latin in 14c. and English did likewise 15c. in words it had picked up from Old French. In many cases pronunciation followed the shift. Over-correction at the end of the Middle Ages in French and then English "restored" the -d- or a doubled consonant to some words that never had it (accursed, afford). The process went further in England than in France, where the vernacular sometimes resisted the pedantic, resulting in English adjourn, advance, address, advertisement (Modern French ajourner, avancer, adresser, avertissement). In modern word-formation sometimes ad- and ab- are regarded as opposites, but this was not in classical Latin.

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*gwere- (2)

gwerə-, Proto-Indo-European root meaning "to favor."

It forms all or part of: agree; bard (n.); congratulate; congratulation; disgrace; grace; gracious; grateful; gratify; gratis; gratitude; gratuitous; gratuity; gratulation; ingrate; ingratiate.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit grnati "sings, praises, announces;" Avestan gar- "to praise;" Lithuanian giriu, girti "to praise, celebrate;" Old Celtic bardos "poet, singer."

agreeable (adj.)
late 14c., of things, "to one's liking, pleasant, satisfactory, suitable," from Old French agreable "pleasing; in agreement; consenting" (12c., Modern French agréable), from agreer "to satisfy; to take pleasure in" (see agree). Of persons, "willing or ready to consent," mid-15c. Related: Agreeably; agreeability; agreeableness. To do the agreeable (1825) was to "act in a courteous manner."
*ad- 
Proto-Indo-European root meaning "to, near, at."

It forms all or part of: abate; ado; ad-; ad hoc; ad lib; adage; adagio; add; adjective; adore; adorn; adult; adverb; advertise; agree; aid; alloy; ally; amontillado; amount; assure; at; atone; exaggerate; paramount; rapport; twit.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit adhi "near;" Latin ad "to, toward;" Old English æt.
agreeance (n.)

1530s, from French agréance, noun of action from agréer "to please, satisfy; take pleasure in" (see agree).

agreement (n.)
c. 1400, "mutual understanding" (among persons), also (of things) "mutual conformity," from Old French agrement, agreement, noun of action from agreer "to please" (see agree). Early 15c. as "formal or documentary agreement, terms of settlement."
disagree (v.)

late 15c., "refuse assent to," from Old French desagreer (12c.), from des- "not, opposite of" (see dis-) + agreer "to please, satisfy; to receive with favor, take pleasure in" (see agree). Sense of "differ in opinion, express contrary views" is from 1550s. Related: Disagreed; disagreeing.