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A Venn diagram, also called a set diagram or logic diagram, shows all possible logical relations between a finite collection of different sets. These diagrams depict elements as points in the plane, and sets as regions inside closed curves. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set.
The commonly-used diagram for the Borromean rings consists of three equal circles centered at the points of an equilateral triangle, close enough together that their interiors have a common intersection (such as in a Venn diagram or the three circles used to define the Reuleaux triangle).
The three circles model - Raz 2002. The diagram presents a partial overlapping between the three circles. One must keep in mind, the relations among the circles are dynamic and their borders depend on the situation being studied. The model is not an area model and doesn't intend to describe certain numeric relations.
Euler diagram. An Euler diagram (/ ˈɔɪlər /, OY-lər) is a diagrammatic means of representing sets and their relationships. They are particularly useful for explaining complex hierarchies and overlapping definitions. They are similar to another set diagramming technique, Venn diagrams.
The diameter of the overlapping part is equal to half the radius of the three circles. Then three inner circles are drawn in with 2 ⁄ 3 radius of the original circles so that it is tangent to the outside three overlapping circles. A tiny circle in center has a diameter 1 ⁄ 2 of the radius of the three inner circles, and arcs are erased at ...
Tangent lines to circles. In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs.
A Karnaugh map (KM or K-map) is a diagram that can be used to simplify a Boolean algebra expression. Maurice Karnaugh introduced it in 1953 [ 1 ][ 2 ] as a refinement of Edward W. Veitch 's 1952 Veitch chart, [ 3 ][ 4 ] which itself was a rediscovery of Allan Marquand 's 1881 logical diagram[ 5 ][ 6 ] (aka. Marquand diagram[ 4 ]).
A lens contained between two circular arcs of radius R, and centers at O1 and O2. In 2-dimensional geometry, a lens is a convex region bounded by two circular arcs joined to each other at their endpoints. In order for this shape to be convex, both arcs must bow outwards (convex-convex). This shape can be formed as the intersection of two ...