Proposition Replicated

Proposition X.114

If an area be contained by an apotome and the binomial the terms of which are commensurable with the terms of the apotome and in the same ratio, the side of the area is rational.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.114

Euclid's Elements, encoded as an rrxiv paper

Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT

Neighborhood at a glance

Incoming (2)

X.112 X.113

PropositionProposition X.114

Outgoing (1)

X.115

Full neighborhood

Depends on (2)

X.112Proposition X.112The square on a rational straight line applied to the binomial straight line produces as breadth an apotome the terms…
X.113Proposition X.113The square on a rational straight line applied to an apotome produces as breadth a binomial the terms of which are…

Required by (dependents) (1)

X.115Proposition X.115From a medial straight line there arise irrational straight lines infinite in number, and none of them is the same with…

Discussion

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