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Alligation medial is merely a matter of finding a weighted mean.
Alligation alternate is more complicated and involves organizing the ingredients into high and low pairs which are then traded off.
As well as the rule of three, Arithmetick contains instructions on alligation and the rule of false position.
A general formula that works for both alligation "alternate" and alligation "medial" is the following:
The U.S. government dismissed this neglect alligation by putting forward an email from Judge Forrest to Bruce Afran.
This is an example of alligation medial because you want to find the amount of sugar in the mixture given the amounts of sugar in its ingredients.
Section I, Whole Numbers included the basis of the four operations and proceeded to topics on interest, rebates, partnership, weights and measures, the double rule of three, alligation, mediation and permutations.
There are two types of alligation: alligation medial, used to find the quantity of a mixture given the quantities of its ingredients, and alligation alternate, used to find the amount of each ingredient needed to make a mixture of a given quantity.