Proposition Replicated

Proposition X.113

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

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.113

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 (3)

X.54 X.60 X.112

PropositionProposition X.113

Outgoing (1)

X.114

Full neighborhood

Depends on (3)

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.60Proposition X.60The square on the binomial straight line applied to a rational straight line produces as breadth the first binomial.
X.112Proposition X.112The square on a rational straight line applied to the binomial straight line produces as breadth an apotome the terms…

Required by (dependents) (1)

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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