# Euler Diagrams Example

This diagram may look similar to the Venn diagram, but they are totally different. A Euler diagram is a graphic depiction commonly used to illustrate the relationships between sets or groups. This kind of diagram is usually drawn with circles or ovals, although they can also use other shapes. To understand more about the Euler diagram, take a tour and look at the following examples of the diagrams.

Both Venn and Euler diagrams are based on the set theory. A Venn diagram shows all possible logical relationships between a collection of sets. But a Euler diagram only shows relationships that exist in the real world. You can look at the differences in the Euler diagram above. The inclusion is represented by the overlapping of circles representing the sets and subsets. Exclusion is represented by non-overlapping circles. Euler diagrams typically include colors that are blended in areas where the circles overlap. However, in Venn diagrams, overlapped circles don’t necessarily indicate a commonality between sets, just a possible logical relationship, unless their labels are in the intersecting circle.

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A Euler diagram is shown above. Both Venn and Euler diagram use circles to create diagrams, there’s a major difference: Venn diagrams represent an entire set, while Euler diagrams can represent a part of a set. There are only 3 possible relationships between any 2 sets; completely inclusive, partially inclusive, and exclusive. This is also referred to as containment, overlap or neither or, especially in mathematics, it may be referred to as subset, intersection and disjoint.