Proof
If a straight line had part in one plane and continued part in
another, then through there would be two distinct straight lines
from (one in each plane), contradicting Postulate 1 (uniqueness
of the straight line through two points).
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Full neighborhood
Depends on (2)
Required by (dependents) (3)
- XI.2Proposition XI.2If two straight lines cut one another, they are in one plane, and every triangle is in one plane.
- XI.3Proposition XI.3If two planes cut one another, their common section is a straight line.
- XI.7Proposition XI.7If two straight lines be parallel, and points be taken at random on each of them, the straight line joining the points…
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