Euler Diagram/Examples

Examples of Euler Diagrams

The following examples show:

$(\text a)$ The subset relation $T \subseteq S$
$(\text b)$ Examples of disjoint sets $S \cap T = \O$
$(\text c)$ The most general case: $S \cap T \ne \O$, $T \nsubseteq S$, $S \nsubseteq T$

The shape of the areas is irrelevant, but usually circles are used.


Sources

  • 1965: A.M. Arthurs: Probability Theory ... (previous) ... (next): Chapter $1$: Set Theory: $1.2$: Sets and subsets
(where this is referred to as a Venn diagram)
  • 1965: J.A. Green: Sets and Groups ... (previous) ... (next): $\S 1.2$.Subsets: Example $10$
(where this is referred to as a Venn diagram)
  • 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Euler's circles
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