Proposition Replicated

Proposition X.29

To find two rational straight lines commensurable in square only such that the square on the greater is greater than the square on the less by the square on a straight line commensurable in length with the greater.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.29

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 (1)

X.17

PropositionProposition X.29

Outgoing (3)

X.31 X.48 X.50

Full neighborhood

Depends on (1)

X.17Proposition X.17If there be two unequal straight lines, and to the greater there be applied a parallelogram equal to the fourth part of…

Required by (dependents) (3)

X.31Proposition X.31To find two medial straight lines commensurable in square only, containing a rational rectangle, such that the square…
X.48Proposition X.48To find the first binomial straight line.
X.50Proposition X.50To find the third binomial straight line.

Discussion

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