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Special right triangle
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A special right triangle is a right triangle with some notable feature that makes calculations on the triangle easier, or for which simple formulas exist.
Set square shaped as 45°–45°–90° triangle
Set square shaped as 45°–45°–90° triangle
Set square, shaped as 30°–60°–90° triangle
Set square, shaped as 30°–60°–90° triangle
Euler diagram
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An Euler diagram 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
Special right triangle
…Position of some special triangles in an Euler diagram of types of triangles, using the definition that isosceles triangles have at least two equal sides, i.e. that equilateral triangles are isosceles A…
The diagram to the right is from Couturat in which he labels the 8 regions of the Venn diagram. The modern name for the "regions" is minterms. They ar
The diagram to the right is from Couturat in which he labels the 8 regions of the Venn diagram. The modern name for the "regions" is minterms. They are shown in the diagram with the variables x, y, and z per Venn's drawing. The symbolism is as follows: logical AND [ & ] is represented by arithmetic multiplication, and the logical NOT [ ¬ ] is represented by ⟨′⟩ after the variable, e.g. the region x′y′z is read as "(NOT x) AND (NOT y) AND z" i.e.
Composite of two pages from Venn (1881a), pp. 115–116 showing his example of how to convert a syllogism of three parts into his type of diagram; Venn
Composite of two pages from Venn (1881a), pp. 115–116 showing his example of how to convert a syllogism of three parts into his type of diagram; Venn calls the circles "Eulerian circles"
Euler diagram categorizing different types of metaheuristics
Euler diagram categorizing different types of metaheuristics
Henri Milne-Edwards's (1844) diagram of relationships of vertebrate animals, illustrated as a series of nested sets
Henri Milne-Edwards's (1844) diagram of relationships of vertebrate animals, illustrated as a series of nested sets