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From: Webster's Revised Unabridged Dictionary (1913)

 Trans·pose v. t. [imp. & p. p. Transposed p. pr. & vb. n. Transposing.]
 1. To change the place or order of; to substitute one for the other of; to exchange, in respect of position; as, to transpose letters, words, or propositions.
 2. To change; to transform; to invert. [R.]
 Things base and vile, holding no quantity,
 Love can transpose to form and dignity.   --Shak.
 3. Alg. To bring, as any term of an equation, from one side over to the other, without destroying the equation; thus, if a + b = c, and we make a = c - b, then b is said to be transposed.
 4. Gram. To change the natural order of, as words.
 5. Mus. To change the key of.