Definition:Above (Solid Geometry)
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This page is about Above in the context of Solid Geometry. For other uses, see Above.
Definition
Let $a$ and $b$ be points in $3$-dimensional Euclidean space $\R^3$.
Let $P$ be an arbitrary plane embedded in $S$ be distinguished and defined as horizontal.
Then:
- $a$ is above $b$
- the height of $a$ with respect to $P$ is greater than the height of $b$ with respect to $P$.