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Definition: 5.11: Corresponding Magnitudes

These magnitudes are said to be corresponding¹ (magnitudes): the leading to the leading (of two ratios), and the following to the following.

Modern Formulation

Given two ratios of positive real numbers. $$\frac\alpha\beta,\quad\frac\gamma\delta,$$

pairs of numbers $(\alpha, \gamma)$ and $(\beta,\delta)$ are called corresponding magnitudes.

Mentioned in:

Proofs: 1 2
Propositions: 3 4

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Footnotes