Category:Definitions/Geometric Figures

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This category contains definitions related to Geometric Figures.
Related results can be found in Category:Geometric Figures.

A geometric figure is intuitively defined as a set of points and lines in space.

In the words of Euclid:

A figure is that which is contained by any boundary or boundaries.

(The Elements: Book $\text{I}$: Definition $14$)

The boundary may or may not be included in a particular figure. If this is important (and in the study of topology it usually is), then whether it is included or not needs to be specified.