Proof
Construct in each plane perpendiculars from a common point to the
shared straight line; the perpendiculars are equal in length, and
by I.33 the resulting transversal is parallel to both targets.
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Depends on (3)
- I.33Proposition I.33The straight lines joining equal and parallel straight lines (at the extremities which are in the same directions) are…
- XI.6Proposition XI.6If two straight lines be at right angles to the same plane, the straight lines will be parallel.
- 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…
Required by (dependents) (2)
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