Proposition Replicated
Proposition X.38
If two medial straight lines commensurable in square only and containing a medial rectangle be added together, the whole is irrational; and let it be called second bimedial.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.38
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) (5)
- X.44Proposition X.44A second bimedial straight line is divided at one point only.
- 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.67Proposition X.67A straight line commensurable in length with a bimedial straight line is itself bimedial and the same in order.
- X.72Proposition X.72If two medial areas incommensurable with one another be added together, the remaining two irrational straight lines…
- X.75Proposition X.75If from a medial straight line there be subtracted a medial straight line commensurable with the whole in square only,…
Discussion
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