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

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

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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."