Definition:Conversion of Ratio

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Definition

Let $R = a : b$ be a ratio.

Then the conversion of $R$ is the ratio $a : a - b$.


In the words of Euclid:

Conversion of a ratio means taking the antecedent in relation to the excess by which the antecedent exceeds the consequent.

(The Elements: Book $\text{V}$: Definition $16$)