# Category:Definitions/Venn Diagrams

This category contains definitions related to Venn Diagrams.

Related results can be found in Category:Venn Diagrams.

A **Venn diagram** is a technique for the graphic depiction of the interrelationship between a small number (usually $3$ or fewer) of sets.

The following diagram illustrates the various operations between three sets.

The circles represent the sets $S_1$, $S_2$ and $S_3$.

The white surrounding box represents the universal set $\mathbb U$.

Each of the areas inside the various circle represents an intersection between the various sets and their complements, as follows:

- The
**gray**area represents $S_1 \cap S_2 \cap S_3$. - The
**purple**area represents $S_1 \cap S_2 \cap \overline {S_3}$. - The
**orange**area represents $S_1 \cap \overline {S_2} \cap S_3$. - The
**green**area represents $\overline {S_1} \cap S_2 \cap S_3$. - The
**red**area represents $S_1 \cap \overline {S_2} \cap \overline {S_3}$. - The
**blue**area represents $\overline {S_1} \cap S_2 \cap \overline {S_3}$. - The
**yellow**area represents $\overline {S_1} \cap \overline {S_2} \cap S_3$. - The surrounding
**white**area represents $\overline {S_1} \cap \overline {S_2} \cap \overline {S_3}$.

The notation $\overline {S_1}$ denotes set complement.

If it is required to show on a diagram that a particular intersection is empty, then it is generally shaded **black**.

## Pages in category "Definitions/Venn Diagrams"

The following 4 pages are in this category, out of 4 total.