Proposition XI.18 — If a straight line be at right angles to any plane, all the …

Proof

Any plane through the perpendicular contains the perpendicular line; by Definition XI.4 (perpendicular planes) the containing plane is perpendicular to the original plane.

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Depends on (2)

XI.4Proposition XI.4If a straight line be set up at right angles to two straight lines which cut one another, at their common point of…
XI.4Definition XI.4A plane is at right angles to a plane when the straight lines drawn in one of the planes at right angles to the common…

Required by (dependents) (1)

XI.19Proposition XI.19If two planes which cut one another be at right angles to any plane, their common section will also be at right angles…

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