Proposition Replicated

Proposition X.108

If from a rational area a medial area be subtracted, the side of the remaining area arises as one of four irrationals: an apotome, a first apotome of a medial, a minor, or the line producing with a rational area a medial whole.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.108

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 (5+)

X.71 X.73 X.74 X.76 X.77

PropositionProposition X.108

Outgoing (1)

X.109

Full neighborhood

Depends on (5)

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.74Proposition X.74If from a medial straight line there be subtracted a medial straight line commensurable with the whole in square only,…
X.76Proposition X.76If from a straight line there be subtracted a straight line incommensurable in square with the whole, which with the…
X.77Proposition X.77If from a straight line there be subtracted a straight line incommensurable in square with the whole which with the…

Required by (dependents) (1)

X.109Proposition X.109If from a medial area a rational area be subtracted, two other irrational straight lines arise, namely a first apotome…

Discussion

No replications, contradictions, or comments registered yet for this claim.