Definition·Untested·2605.00009

Definition X.4

And let the square on the assigned straight line be called rational and those areas which are commensurable with it rational, but those which are incommensurable with it irrational, and the straight lines which produce them irrational — that is, in case the areas are squares, the sides themselves; in other cases, the straight lines on which the rectangles equal to the areas would be applied.

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Required by (dependents) (1)

X.19Proposition X.19The rectangle contained by rational straight lines commensurable in length is rational.

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