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Ratio and proportion

Antecedent and consequent

\[\frac{a}{b} = \frac{\text{antecedent}}{\text{consequent}} \equiv \frac{\text{numerator}}{\text{denominator}}\]

We are dividing \(a\) into equal parts \(b\). So \(b\) is the unit that defines the scale.

The world is rational

Coordinate axes

  1. x-y coordinates make up a ratio, right?
  2. Straight line is contstant ratio or x/y = constant
  3. What about functions? Are they continuous ratios?
  4. What happens when we have 3 axes, x, y, z?
  5. Then we have, x/y, x/z, y/z, and also inverse of these.

Created: 2025-02-03 Mon 15:05

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