Euclid's Elements, Book X, Proposition 14 (X.14)

Euclid's Elements, Book X, Proposition 14 (X.14)

Echoes of Rome
Echoes of Rome
Sep 17, 2024

"If four straight lines be proportional, and the square on the first be greater than the square on the second by the square on a straight line commensurable with the first, the square on the third will also be greater than the square on the fourth by the square on a straight line commensurable with the third. And, if the square on the first be greater than the square on the second by the square on a straight line incommensurable with the first, the square on the third will also be greater than the square on the fourth by the square on a straight line incommensurable with the third."