Commentary on Proposition X.103

Back to Proposition X.103.

[Folio 0235 | p. 231]

This and the following propositions to 107 inclusive (like the corresponding theorems X. 66 to 70) are easy and require no elucidation. They are equivalent to saying that, if in any of the preceding irrational straight lines $\frac{m}{n}\rho$ is substituted for $\rho$, the resulting irrational is of the same kind and order as that from which it is altered.