Thayer's Greek Lexicon

 1. accepted, particularly of coins and money.
2. accepted, pleasing, acceptable

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In the ancient world there was no banking system as we know it
today, and no paper money. All money was made from metal, heated
until liquid, poured into moulds and allowed to cool. When the coins
were cooled, it was necessary to smooth off the uneven edges. The
coins were comparatively soft and of course many people shaved them
closely. In one century, more than eighty laws were passed in
Athens, to stop the practice of shaving down the coins then in
circulation. But some money changers were men of integrity, who
would accept no counterfeit money. They were men of honour who put
only genuine full weighted money into circulation. Such men were
called "dokimos" or "approved". Donald Barnhouse