Commentary on Proposition X.46

Back to Proposition X.46.

[Folio 0103 | p. 99]

Here, as before, if we use the same notation,

$$(x^2 + y^2) - (x'^2 + y'^2) = 2x'y' - 2xy,$$

and the areas on the left side are, by hypothesis, both medial, while the areas on the right side are both rational.

Thus the result of X. 26 is contradicted, as before.

Therefore etc.