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For example, a ratio of 3:2 is the same as 12:8. It is usual either to reduce terms to the lowest common denominator, or to express them in parts per hundred . If a mixture contains substances A, B, C and D in the ratio 5:9:4:2 then there are 5 parts of A for every 9 parts of B, 4 parts of C and 2 parts of D.
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". The aspect ratio is most often expressed as two integer numbers separated by a colon (x:y), less commonly as a simple or decimal fraction. The values x and y do ...
Common aspect ratios used in film and display images. The common film aspect ratios used in cinemas are 1.85:1 and 2.40:1. [1] Two common videographic aspect ratios are 4:3 (1. 3:1), [a] the universal video format of the 20th century, and 16:9 (1. 7:1), universal for high-definition television and European digital television.
The golden ratio φ and its negative reciprocal −φ −1 are the two roots of the quadratic polynomial x 2 − x − 1. The golden ratio's negative −φ and reciprocal φ −1 are the two roots of the quadratic polynomial x 2 + x − 1. The golden ratio is also an algebraic number and even an algebraic integer.
This is a triangle whose three angles are in the ratio 1 : 2 : 3 and respectively measure 30° ( π / 6 ), 60° ( π / 3 ), and 90° ( π / 2 ). The sides are in the ratio 1 : √ 3 : 2. The proof of this fact is clear using trigonometry. The geometric proof is:
TV 4:3/1.33 in red, 1.66 in orange, 16:9/1.7 7 in blue, 1.85 in yellow, Panavision/2.2 in mauve and CinemaScope/2.35 in purple. The geometric mean has been used in choosing a compromise aspect ratio in film and video: given two aspect ratios, the geometric mean of them provides a compromise between them, distorting or cropping both in some ...
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