Proposition Replicated
Proposition X.58
If an area be contained by a rational straight line and the fifth binomial, the side of the area is the irrational straight line which is the side of a rational plus a medial area.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.58
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.40Proposition X.40If two straight lines incommensurable in square which make the sum of the squares on them medial, but the rectangle…
- 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…
Required by (dependents) (3)
- X.59Proposition X.59If an area be contained by a rational straight line and the sixth 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.95Proposition X.95If an area be contained by a rational straight line and a fifth apotome, the side of the area is the line producing…
Discussion
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