Proof
commensurable, discriminant incommensurable with the greater.
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Depends on (3)
- X.30Proposition X.30To find two rational straight lines commensurable in square only such that the square on the greater is greater than…
- X.51Proposition X.51To find the fourth binomial straight line.
- X.II.5Definition X.II.5If, in the same case, the lesser term is commensurable in length with the assigned rational straight line, the whole is…
Required by (dependents) (4)
- X.53Proposition X.53To find the sixth binomial straight line.
- X.58Proposition X.58If an area be contained by a rational straight line and the fifth binomial, the side of the area is the irrational…
- X.64Proposition X.64The square on the side of a rational plus a medial area applied to a rational straight line produces as breadth the…
- X.89Proposition X.89To find the fifth apotome.
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