Proposition Replicated
Proposition I.33
The straight lines joining equal and parallel straight lines (at the extremities which are in the same directions) are themselves equal and parallel.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:I.33
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.4Proposition I.4If two triangles have two sides equal to two sides respectively, and have the angles contained by the equal straight…
- I.27Proposition I.27If a straight line falling on two straight lines make the alternate angles equal to one another, the straight lines…
- I.29Proposition I.29A straight line falling on parallel straight lines makes the alternate angles equal to one another, the exterior angle…
Required by (dependents) (4)
- I.36Proposition I.36Parallelograms which are on equal bases and in the same parallels are equal to one another.
- 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.10Proposition XI.10If two straight lines meeting one another be parallel to two straight lines meeting one another, not in the same plane,…
- XI.24Proposition XI.24If a solid be contained by parallel planes, the opposite planes in it are equal and similar parallelograms.
Discussion
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