Proposition Replicated

Proposition X.112

The square on a rational straight line applied to the binomial straight line produces as breadth an apotome the terms of which are commensurable with the terms of the binomial and in the same ratio.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.112

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.91 X.97

PropositionProposition X.112

Outgoing (2)

X.113 X.114

Full neighborhood

Depends on (2)

X.91Proposition X.91If an area be contained by a rational straight line and a first apotome, the side of the area is an apotome.
X.97Proposition X.97The square on an apotome straight line applied to a rational straight line produces as breadth a first apotome.

Required by (dependents) (2)

X.113Proposition X.113The square on a rational straight line applied to an apotome produces as breadth a binomial the terms of which are…
X.114Proposition X.114If an area be contained by an apotome and the binomial the terms of which are commensurable with the terms of the…

Discussion

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