Definition:Boundary (Geometry)
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Definition
As Euclid defined it:
- A boundary is that which is an extremity of anything.
(The Elements: Book I: Definition $13$)
For example, the endpoints of a line segment are its boundaries.
Containment
A figure is said to be contained by its boundary or boundaries.
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Note
It can be intuitively perceived that the geometric and topological definitions of boundary are compatible.
