δέησις, 
-εως, 
ἡ, (
δέομαι);
1. need, indigence (Psalm 21:25 (
Ps. 22:25)); Aeschines dial. 2, 39f; [Plato, Eryx. 405 e. bis]; Aristotle, rhet. 2, 7 [ii., p. 1385
a, 27]).
2. a seeking, asking, entreating, entreaty (from Plato down); in the 
N. T. requests addressed by men to God (German 
Bittgebet, 
supplication); universally: 
James 5:16; 
1 Peter 3:12; as often in the 
Sept., joined with 
προσευχή (i. e. any pious address to God [see below]): 
Acts 1:14 Rec.; 
Ephesians 6:18; 
Philippians 4:6; plural 
2 Timothy 1:3; joined with 
προσευχαί, 
1 Timothy 5:5; with 
νηστεῖαι, 
Luke 2:37; 
ποιεῖσθαι δέησιν, 
Philippians 1:4; 
π. 
δεήσεις, 
Luke 5:33; 
1 Timothy 2:1. contextually, of prayers imploring God's aid in some particular matter: 
Luke 1:13; 
Philippians 1:19; plural 
Hebrews 5:7; supplication for others: [
2 Corinthians 1:11]; 
περί τινος, 
Ephesians 6:18; 
ὑπέρ τινος, 
2 Corinthians 9:14; 
Philippians 1:4; with the addition 
πρὸς τὸν θεόν, 
Romans 10:1. 
    [Synonyms: 
δέησις, 
προσευχή, 
ἔντευξις: 
πρ., as Professor Grimm remarks, is unrestricted as respects its contents, while 
δ. is petitionary; moreover 
πρ. is a word of sacred character, being limited to prayer to God, whereas 
δ. may also be used of a request addressed to man. In Byzantine Greek it is used of a written supplication (like our 
petition); cf. 
Sophocles Lexicon under the word. See more at length Trench § 51; also Bp. Lightfoot on 
Philippians 4:6; Ellicott on 
Ephesians 6:18; cf. Schmidt chapter 7. In 
1 Timothy 2:1 to these two words is added 
ἔντευξις, which expresses confiding access to God; thus, in combination, 
δέησις gives prominence to the expression of personal need, 
προσευχή to the element of devotion, 
ἔντευξις to that of child-like confidence, by representing prayer as the heart's converse with God. See Huther's extended note at the passage; Ellicott at the passage; Trench as above.]
    THAYER’S GREEK LEXICON, Electronic Database.
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    BLB Scripture Index of Thayer's