Proposition Replicated
Proposition X.37
If two medial straight lines commensurable in square only and containing a rational rectangle be added together, the whole is irrational; and let it be called first bimedial.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.37
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 (2)
Required by (dependents) (6)
- X.38Proposition X.38If two medial straight lines commensurable in square only and containing a medial rectangle be added together, the…
- X.43Proposition X.43A first bimedial straight line is divided at one and the same point only.
- X.55Proposition X.55If an area be contained by a rational straight line and the second binomial, the side of the area is the irrational…
- X.67Proposition X.67A straight line commensurable in length with a bimedial straight line is itself bimedial and the same in order.
- X.71Proposition X.71If a rational and a medial area be added together, four irrational straight lines arise, namely either a binomial, a…
- X.74Proposition X.74If from a medial straight line there be subtracted a medial straight line commensurable with the whole in square only,…
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