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For every fraction p / q (in its lowest terms) there is a Ford circle C[ p / q ], which is the circle with radius 1/(2q 2) and centre at ( p / q , 1 / 2q 2 ). Two Ford circles for different fractions are either disjoint or they are tangent to one another—two Ford circles never intersect. If 0 < p / q < 1 ...
Ford circles. A circle rests upon each fraction in lowest terms. The circles for the fractions 0/1, 1/1, 1/2, 1/3, 2/3, 1/4, 3/4, 1/5, 2/5, 3/5, 4/5 are shown. Each circle touches, but does not cross, the line and some neighboring circles. Fractions with the same denominator have circles of the same size. Date: 2006: Source: This is an SVG ...
4 time is usually implied). Sometimes a piece is written with multiple time signatures simultaneously. For example, it might specify 4/4 2/4 3/4 5/4, meaning that the length of measures is irregular and can be 4, 2, 3 or 5 quarter-notes. The time signature of the first measure is always specified first, and the others are placed in increasing ...
Number Forms is a Unicode block containing Unicode compatibility characters that have specific meaning as numbers, but are constructed from other characters. They consist primarily of vulgar fractions and Roman numerals. In addition to the characters in the Number Forms block, three fractions (¼, ½, and ¾) were inherited from ISO-8859-1 ...
Ford circles are a sub-set of the circles in the Apollonian gasket generated by the lines and and the circle [4] By interpreting the upper half of the complex plane as a model of the hyperbolic plane (the Poincaré half-plane model), Ford circles can be interpreted as horocycles. In hyperbolic geometry any two horocycles are congruent.
Pages for OS X was updated to version 4.3 on December 4, 2012, to support Pages 1.7 for iOS, which was released on the same day. Pages for iOS 1.7.1 introduced better compatibility with Word and Pages for Mac, and version 1.7.2, released on March 7, 2013, merely added stability improvements and bug fixes.
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2/4 may refer to. February 4 (month-day date notation) 2 April (day-month date notation) 2. 4 time, a duple time signature used, for example, for polkas. 2nd Battalion 4th Marines. 2/4 (single album), a single album by South Korean band Onewe.
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