Proof
commensurable with the assigned rational, square-discriminant
incommensurable with (X.30).
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Full neighborhood
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.48Proposition X.48To find the first binomial straight line.
- X.II.4Definition X.II.4If the square of the greater term exceeds the square of the lesser by the square of a line incommensurable in length…
Required by (dependents) (4)
- X.52Proposition X.52To find the fifth binomial straight line.
- X.57Proposition X.57If an area be contained by a rational straight line and the fourth binomial, the side of the area is the irrational…
- X.63Proposition X.63The square on the major straight line applied to a rational straight line produces as breadth the fourth binomial.
- X.88Proposition X.88To find the fourth apotome.
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