Proposition XI.23 — To construct a solid angle out of three plane angles, two of…

Proof

Apply XI.22 to obtain the triangle of chords; mount that triangle so that the three face-angles meet at a common apex; the bound of XI.21 ensures consistency.

Knowledge graph · drag to pan, scroll to zoom, click a node to navigate

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

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

Replicate or annotate this claim

Replicate to register a fresh attempt; contradict, extend, or comment otherwise. Authors can post a claim-retraction with the reason taxonomy from RRP-0020.