Proof
By XI.10 the angles are equal; drop a common perpendicular line; by
XI.14 the two planes share a common perpendicular and are parallel.
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Depends on (3)
- 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.14Proposition XI.14Planes to which the same straight line is at right angles will be parallel.
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