Proposition Replicated

Proposition X.16

If two incommensurable magnitudes be added together, the whole will also be incommensurable with each of them; and if the whole be incommensurable with one of them, the original magnitudes will also be incommensurable.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:X.16

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.15

PropositionProposition X.16

Outgoing (1)

X.18

Full neighborhood

Depends on (1)

X.15Proposition X.15If two commensurable magnitudes be added together, the whole will also be commensurable with each of them; and if the…

Required by (dependents) (1)

X.18Proposition X.18If there be two unequal straight lines, and to the greater there be applied a parallelogram equal to the fourth part of…

Discussion

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