Proposition Replicated
Proposition X.55
If an area be contained by a rational straight line and the second binomial, the side of the area is the irrational straight line which is called first bimedial.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.55
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.37Proposition X.37If two medial straight lines commensurable in square only and containing a rational rectangle be added together, the…
- X.49Proposition X.49To find the second binomial straight line.
- X.54Proposition X.54If an area be contained by a rational straight line and the first binomial, the side of the area is the irrational…
Required by (dependents) (3)
- 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…
- X.61Proposition X.61The square on the first bimedial straight line applied to a rational straight line produces as breadth the second…
- X.92Proposition X.92If an area be contained by a rational straight line and a second apotome, the side of the area is a first apotome of a…
Discussion
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