GNU Collaborative International Dictionary of English

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1.       
   Alligation , n. [L. alligatio.]
   The act of tying together or attaching by some bond, or the state of being attached. [R.]
   1913 Webster
   (Arith.) A rule relating to the solution of questions concerning the compounding or mixing of different ingredients, or ingredients of different qualities or values.
   1913 Webster
   ☞ The rule is named from the method of connecting together the terms by certain ligature-like signs. Alligation is of two kinds, medial and alternate; medial teaching the method of finding the price or quality of a mixture of several simple ingredients whose prices and qualities are known; alternate, teaching the amount of each of several simple ingredients whose prices or qualities are known, which will be required to make a mixture of given price or quality.
   1913 Webster