a word, phrase, or sentence formed from another by rearranging its letters: “Angel” is an anagram of “glean.”
anagrams, (used with a singular verb) a game in which the players build words by transposing and, often, adding letters.
verb (used with object), anagrammed, anagramming.
to form (the letters of a text) into a secret message by rearranging them.
to rearrange (the letters of a text) so as to discover a secret message.

1580–90; probably < Middle French anagramme < Neo-Latin anagramma. See ana-, -gram1

anagrammatic [an-uh-gruh-mat-ik] , anagrammatical, adjective
anagrammatically, adverb Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
anagram (ˈænəˌɡræm)
a word or phrase the letters of which can be rearranged into another word or phrase
[C16: from New Latin anagramma, shortened from Greek anagrammatismos, from anagrammatizein to transpose letters, from ana- + gramma a letter]

Collins English Dictionary - Complete & Unabridged 10th Edition
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Word Origin & History

transposition of letters in a word so as to form another, 1580s, from Fr. anagramme, from Gk. anagrammatizein "transpose letters," from ana- "up, back" + gramma (gen. grammatos) "letter."
Online Etymology Dictionary, © 2010 Douglas Harper
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Encyclopedia Britannica


the transposing of the letters of a word or group of words to produce other words that possess meaning, preferably bearing some logical relation to the original. The construction of anagrams is of great antiquity. Their invention is often ascribed without authority to the Jews, probably because the later Hebrew writers, particularly the Kabbalists, were fond of them, asserting that "secret mysteries are woven in the numbers of letters." Anagrams were known to the Greeks and Romans, although known Latin examples of words of more than one syllable are nearly all imperfect. They were popular throughout Europe during the Middle Ages and later, particularly in France, where a certain Thomas Billon was appointed "anagrammatist to the king."

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Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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Example sentences
Using letter tiles, you can easily slip letters into line to form words for the
  anagram puzzles.
To indicate an anagram he added “(anag.)” to the word concerned.
Wilbur writes that among her father's language interests were anagrams.
This was an anagram of the words “too many secrets&rdquo.
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