Vine's on encouragement

Vine's Expository Dictionary of New Testament Words
A-1
Verb
Strong's Number: g4389
Greek: protrepo
Encourage, Encouragement:"to urge forward, persuade," is used in Act 18:27 in the Middle Voice, RV, "encouraged," indicating their particular interest in giving Apollos the "encouragement" mentioned; the AV, "exhorting," wrongly connects the verb.
A-2
Verb
Strong's Number: g3888
Greek: paramutheomai
Encourage, Encouragement:from para, "with," and muthos, "counsel, advice," is translated "encouraging" in 1Th 2:11, RV, and "encourage" in 1Th 5:14, RV, there signifying to stimulate to the discharge of the ordinary duties of life. In Jhn 11:19, 31, it means "to comfort." See COMFORT. Cp. the nouns paramuthia, 1Cr 14:3, and paramuthion, Phl 2:1, "comfort."
B-1
Noun
Strong's Number: g3874
Greek: paraklesis
Encourage, Encouragement:"a calling to one's aid" (para, "by the side," kaleo, "to call"), then, "an exhortation, encouragement," is translated "encouragement" in Hbr 6:18, RV, for AV, "consolation;" it is akin to parakaleo, "to beseeach or exhort, encourage, comfort," and parakletos, "a paraclete or advocate."