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Similar figures. In Euclidean geometry, two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other.More precisely, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection.
A simile (/ ˈ s ɪ m əl i /) is a type of figure of speech that directly compares two things. [1] [2] Similes are often contrasted with metaphors, where similes necessarily compare two things using words such as "like", "as", while metaphors often create an implicit comparison (i.e. saying something "is" something else).
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. [ 1 ] More formally, two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry , i.e., a combination of rigid motions , namely a ...
Comparison or comparing is the act of evaluating two or more things by determining the relevant, comparable characteristics of each thing, and then determining which characteristics of each are similar to the other, which are different, and to what degree. Where characteristics are different, the differences may then be evaluated to determine ...
Figure 1: The point O is an external homothetic center for the two triangles. The size of each figure is proportional to its distance from the homothetic center. In geometry, a homothetic center (also called a center of similarity or a center of similitude) is a point from which at least two geometrically similar figures can be seen as a dilation or contraction of one another.
The idea of self-similar curves was taken further by Paul Lévy, who, in his 1938 paper Plane or Space Curves and Surfaces Consisting of Parts Similar to the Whole, described a new fractal curve, the Lévy C curve. [notes 1] A strange attractor that exhibits multifractal scaling Uniform mass center triangle fractal 2x 120 degrees recursive IFS
Similarity comes in degrees: e.g. oranges are more similar to apples than to the moon. It is traditionally seen as an internal relation and analyzed in terms of shared properties: two things are similar because they have a property in common. [1] The more properties they share, the more similar they are.
A figure of speech or rhetorical figure is a word or phrase that intentionally deviates from straightforward language use or literal meaning to produce a rhetorical or intensified effect (emotionally, aesthetically, intellectually, etc.). [1] [2] In the distinction between literal and figurative language, figures of