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A template for displaying common fractions of the form int+num/den nicely. It supports 0–3 anonymous parameters with positional meaning. Template parameters [Edit template data] Parameter Description Type Status leftmost part 1 Denominator if only parameter supplied. Numerator if 2 parameters supplied. Integer if 3 parameters supplied. If no parameter is specified the template will render a ...
[[Category:Fraction templates]] to the <includeonly> section at the bottom of that page. Otherwise, add <noinclude>[[Category:Fraction templates]]</noinclude> to the end of the template code, making sure it starts on the same line as the code's last character.
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.
A template for displaying common fractions of the form int+num/den nicely. It supports 0–3 anonymous parameters with positional meaning. Template parameters Parameter Description Type Status leftmost part 1 Denominator if only parameter supplied. Numerator if 2 parameters supplied. Integer if 3 parameters supplied. If no parameter is specified the template will render a fraction slash only ...
Bake for 1 ⁄ 2 hour. without requiring the use of bulky HTML markup. Please note that these templates do not handle preceding integers (or succeeding units) and the spacing in between, use {} for that: Bake for {{frac|2|1|2}} hours. Bake for 2 + 1 ⁄ 2 hours. As with {}, these templates should not be used in science or mathematical articles ...
Ford circles for p/q with q from 1 to 20. Circles with q ≤ 10 are labelled as p / q and color-coded according to q. Each circle is tangent to the base line and its neighboring circles. Irreducible fractions with the same denominator have circles of the same size.
In the 3rd century BCE, Archimedes proved the sharp inequalities 223 ⁄ 71 < π < 22 ⁄ 7, by means of regular 96-gons (accuracies of 2·10 −4 and 4·10 −4, respectively). [ 15 ] In the 2nd century CE, Ptolemy used the value 377 ⁄ 120 , the first known approximation accurate to three decimal places (accuracy 2·10 −5 ). [ 16 ]
where C is the circumference of a circle, d is the diameter, and r is the radius. More generally, = where L and w are, respectively, the perimeter and the width of any curve of constant width. = where A is the area of a circle. More generally, =
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