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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.
In a logical setting, one can use model-theoretic semantics to interpret Euler diagrams, within a universe of discourse. In the examples below, the Euler diagram depicts that the sets Animal and Mineral are disjoint since the corresponding curves are disjoint, and also that the set Four Legs is a subset of the set of Animals.
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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 is an exercise / diagram used by recovering addicts to describe and define behaviors that lead either to a relapse into or recovery from addictive behaviors. Some treatment groups and 12-step recovery programs related to behavioral addictions encourage recovering addicts to complete the three circle exercise to help the addict ...
A ring species is an alternative model to allopatric speciation, "illustrating how new species can arise through 'circular overlap', without interruption of gene flow through intervening populations…" [11] However, Jerry Coyne and H. Allen Orr point out that rings species more closely model parapatric speciation. [4]
For example, when leaves alternate up a stem, one rotation of the spiral touches two leaves, so the pattern or ratio is 1/2. In hazel the ratio is 1/3; in apricot it is 2/5; in pear it is 3/8; in almond it is 5/13. [56] Animal behaviour can yield spirals; for example, acorn worms leave spiral fecal trails on the sea floor. [57]
Edward Hitchcock's fold-out paleontological chart in his 1840 Elementary Geology. Although tree-like diagrams have long been used to organise knowledge, and although branching diagrams known as claves ("keys") were omnipresent in eighteenth-century natural history, it appears that the earliest tree diagram of natural order was the 1801 "Arbre botanique" (Botanical Tree) of the French ...