Proof
Reduce to I.27 via I.13 and I.15.
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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.
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