Proposition Replicated

Proposition XI.22

If there be three plane angles of which two, taken together in any manner, are greater than the remaining one, and they are contained by equal straight lines, it is possible to construct a triangle out of the straight lines joining the extremities of the equal straight lines.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XI.22

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)

I.22 XI.20

PropositionProposition XI.22

Outgoing (1)

XI.23

Full neighborhood

Depends on (2)

I.22Proposition I.22Out of three straight lines, which are equal to three given straight lines, to construct a triangle: thus it is…
XI.20Proposition XI.20If a solid angle be contained by three plane angles, any two, taken together in any manner, are greater than the…

Required by (dependents) (1)

XI.23Proposition XI.23To construct a solid angle out of three plane angles, two of which, taken together in any manner, are greater than the…

Discussion

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