Proposition Replicated
Proposition XI.10
If two straight lines meeting one another be parallel to two straight lines meeting one another, not in the same plane, they will contain equal angles.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XI.10
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
Neighborhood at a glance
Full neighborhood
Depends on (3)
- I.8Proposition I.8If two triangles have the two sides equal to two sides respectively, and have also the base equal to the base, they…
- I.33Proposition I.33The straight lines joining equal and parallel straight lines (at the extremities which are in the same directions) are…
- XI.9Proposition XI.9Straight lines which are parallel to the same straight line and are not in the same plane with it are also parallel to…
Required by (dependents) (4)
- XI.15Proposition XI.15If two straight lines meeting one another be parallel to two straight lines meeting one another, not being in the same…
- XI.24Proposition XI.24If a solid be contained by parallel planes, the opposite planes in it are equal and similar parallelograms.
- 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…
- XI.35Proposition XI.35If there be two equal plane angles, and on their vertices there be set up elevated straight lines containing equal…
Discussion
No replications, contradictions, or comments registered yet for this claim.