Proposition Replicated
Proposition X.57
If an area be contained by a rational straight line and the fourth binomial, the side of the area is the irrational straight line which is called major.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.57
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
Neighborhood at a glance
Full neighborhood
Depends on (3)
- X.39Proposition X.39If two straight lines incommensurable in square which make the sum of the squares on them rational, but the rectangle…
- X.51Proposition X.51To find the fourth binomial straight line.
- X.56Proposition X.56If an area be contained by a rational straight line and the third binomial, the side of the area is the irrational…
Required by (dependents) (3)
- 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.63Proposition X.63The square on the major straight line applied to a rational straight line produces as breadth the fourth binomial.
- X.94Proposition X.94If an area be contained by a rational straight line and a fourth apotome, the side of the area is a minor.
Discussion
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