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Euclid defines a ratio as between two quantities of the same type, so by this definition the ratios of two lengths or of two areas are defined, but not the ratio of a length and an area. Definition 4 makes this more rigorous. It states that a ratio of two quantities exists, when there is a multiple of each that exceeds the other.
The aspect ratio of a geometric shape is the ratio of its sizes in different dimensions. For example, the aspect ratio of a rectangle is the ratio of its longer side to its shorter side—the ratio of width to height, [ 1 ] [ 2 ] when the rectangle is oriented as a " landscape ".
Original file (SVG file, nominally 10,800 × 29,700 pixels, file size: 16 KB) This is a file from the Wikimedia Commons . Information from its description page there is shown below.
The scale ratio of a model represents the proportional ratio of a linear dimension of the model to the same feature of the original. Examples include a 3-dimensional scale model of a building or the scale drawings of the elevations or plans of a building.
HDTV ratio used by Silicon Graphics computers in the 1990s, with the resolution being specified as 1920×1024. 1.9:1 SMPTE/DCI digital cinema basic resolution container aspect ratio. Exact ratio is 256:135 but it is commonly referred to as 1.9:1 [32] [33] or 1.90:1 [34] [35] and sometimes 1.896:1. [36] Used by Diao Yinan's The Wild Goose Lake ...
Coordinate charts are mathematical objects of topological manifolds, and they have multiple applications in theoretical and applied mathematics. When a differentiable structure and a metric are defined, greater structure exists, and this allows the definition of constructs such as integration and geodesics .
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