1) in vain, fruitlessly
Part of Speech: adverb
Citing in TDNT: 4:523, 571
Accusative case of a derivative of the base of G3145 (through the idea of tentative manipulation, that is, unsuccessful search, or else of punishment); folly, that is, (adverbially) to no purpose: - in vain.
These two sites give similar information, with the definition from several dictionaries and statistics on the use of the word.
Perseus Digital Library
University of Chicago's Logion lexicon
Thayer's dictionary plus other information.
From this site's dictionary (in Italian)
Click on the first column to search for that word as a form of the root μάτην; click on the second column to search for that grammatical form of the root μάτην; click on the third column to search for that word and grammatical form; click on the total to search for the root μάτην.