Proposition Replicated
Proposition I.28
If a straight line falling on two straight lines make the exterior angle equal to the interior and opposite angle on the same side, or the interior angles on the same side equal to two right angles, the straight lines will be parallel to one another.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:I.28
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.13Proposition I.13If a straight line set up on a straight line make angles, it will make either two right angles or angles equal to two…
- I.15Proposition I.15If two straight lines cut one another, they make the vertical angles equal to one another.
- I.27Proposition I.27If a straight line falling on two straight lines make the alternate angles equal to one another, the straight lines…
Required by (dependents) (3)
- IV.7Proposition IV.7About a given circle to circumscribe a square.
- VI.4Proposition VI.4In equiangular triangles the sides about the equal angles are proportional, and those are corresponding sides which…
- XI.6Proposition XI.6If two straight lines be at right angles to the same plane, the straight lines will be parallel.
Discussion
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