Proposition Replicated

Proposition X.54

If an area be contained by a rational straight line and the first binomial, the side of the area is the irrational straight line which is called binomial.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.54

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.36 X.48

PropositionProposition X.54

Outgoing (4)

X.55 X.60 X.91 X.113

Full neighborhood

Depends on (2)

X.36Proposition X.36If two rational straight lines commensurable in square only be added together, the whole is irrational; and let it be…
X.48Proposition X.48To find the first binomial straight line.

Required by (dependents) (4)

X.55Proposition X.55If an area be contained by a rational straight line and the second 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.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.113Proposition X.113The square on a rational straight line applied to an apotome produces as breadth a binomial the terms of which are…

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