Proposition Replicated

Proposition X.35

To find two straight lines incommensurable in square which make the sum of the squares on them medial and the rectangle contained by them medial and moreover incommensurable with the sum of the squares on them.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.35

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.32 X.34

PropositionProposition X.35

Outgoing (1)

X.41

Full neighborhood

Depends on (2)

X.32Proposition X.32To find two medial straight lines commensurable in square only, containing a medial rectangle, such that the square on…
X.34Proposition X.34To find two straight lines incommensurable in square which make the sum of the squares on them medial but the rectangle…

Required by (dependents) (1)

X.41Proposition X.41If two straight lines incommensurable in square which make the sum of the squares on them medial, and the rectangle…

Discussion

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