Proposition Replicated

Proposition XI.23

To construct a solid angle out of three plane angles, two of which, taken together in any manner, are greater than the remaining one; thus the sum of the three angles must be less than four right angles.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XI.23

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 (3)

XI.20 XI.21 XI.22

PropositionProposition XI.23

Outgoing (1)

XI.26

Full neighborhood

Depends on (3)

XI.20Proposition XI.20If a solid angle be contained by three plane angles, any two, taken together in any manner, are greater than the…
XI.21Proposition XI.21Any solid angle is contained by plane angles less than four right angles.
XI.22Proposition XI.22If there be three plane angles of which two, taken together in any manner, are greater than the remaining one, and they…

Required by (dependents) (1)

XI.26Proposition XI.26At a given point on a given straight line to construct a solid angle equal to a given solid angle contained by three…

Discussion

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