Proposition Replicated
Proposition XI.20
If a solid angle be contained by three plane angles, any two, taken together in any manner, are greater than the remaining one.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XI.20
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
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Depends on (3)
- I.4Proposition I.4If two triangles have two sides equal to two sides respectively, and have the angles contained by the equal straight…
- I.20Proposition I.20In any triangle two sides taken together in any manner are greater than the remaining one.
- I.24Proposition I.24If two triangles have the two sides equal to two sides respectively, but have the one of the angles contained by the…
Required by (dependents) (3)
- 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…
- 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…
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