Proposition Replicated
Proposition X.36
If two rational straight lines commensurable in square only be added together, the whole is irrational; and let it be called binomial.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.36
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
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Required by (dependents) (9)
- X.37Proposition X.37If two medial straight lines commensurable in square only and containing a rational rectangle be added together, the…
- X.39Proposition X.39If two straight lines incommensurable in square which make the sum of the squares on them rational, but the rectangle…
- X.42Proposition X.42A binomial straight line is divided into its terms at one point only.
- X.48Proposition X.48To find the first 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…
- X.66Proposition X.66A straight line commensurable in length with a binomial straight line is itself also binomial 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.73Proposition X.73If from a rational straight line there be subtracted a rational straight line commensurable with the whole in square…
- X.111Proposition X.111The apotome is not the same as the binomial.
Discussion
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