Proposition Replicated
Proposition XI.6
If two straight lines be at right angles to the same plane, the straight lines will be parallel.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XI.6
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 (4)
- I.28Proposition I.28If a straight line falling on two straight lines make the exterior angle equal to the interior and opposite angle on…
- XI.2Proposition XI.2If two straight lines cut one another, they are in one plane, and every triangle is in one plane.
- XI.3Proposition XI.3If two planes cut one another, their common section is a straight line.
- XI.4Proposition XI.4If a straight line be set up at right angles to two straight lines which cut one another, at their common point of…
Required by (dependents) (3)
- XI.8Proposition XI.8If two straight lines be parallel, and one of them be at right angles to any plane, the remaining one will also be at…
- 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…
- XI.13Proposition XI.13From the same point two straight lines cannot be set up at right angles to the same plane on the same side.
Discussion
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