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| -rw-r--r-- | html/encyclopedia/mathematics/rules.html | 50 | ||||
| -rw-r--r-- | html/encyclopedia/mathematics/trigonometry.html | 88 |
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diff --git a/html/encyclopedia/mathematics/rules.html b/html/encyclopedia/mathematics/rules.html deleted file mode 100644 index 7ffc914..0000000 --- a/html/encyclopedia/mathematics/rules.html +++ /dev/null @@ -1,50 +0,0 @@ -<!DOCTYPE html> -<html lang="da"> - <!--#include virtual="/include/head.shtml"--> - <head> - <script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script> - <script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script> - </head> - <body> - <!--#include virtual="/include/pghdr.shtml"--> - <div class="content"> - <p class="pagePath"><a href="/html/encyclopedia.html">encyclopedia</a> / <a href="/html/encyclopedia.html#mathematics">mathematics</a> / <a href="/html/encyclopedia/mathematics/rules.html">rules</a></p> - <p class="pageTitle">Leksikon</p> - <div class="section"> - <p class="math">\(x + y = z\)</p> - <p class="math">\(z - y = x\)</p> - <p class="math">\(z - x = y\)</p> - <br /> - <p class="math">\(x y = z\)</p> - <p class="math">\(\frac{z}{y} = x\)</p> - <p class="math">\(\frac{z}{x} = y\)</p> - <br /> - <p class="math">\(x ^ {y} = z\)</p> - <p class="math">\(\sqrt[y]{z} = x\)</p> - <p class="math">\(log_{x}(z) = y\)</p> - </div> - <div class="section"> - <p class="large">Potens</p> - <p class="math">\(x ^ {n} = \prod ^ {n} x, n \gt 0\)</p> - <p class="math">\(x ^ {n} = \frac{1}{x ^ {-n}}, x \lt 0\)</p> - <p class="math">\(x ^ {0} = 1\)</p> - <p class="math">\(x ^ {\frac{a}{b}} = \sqrt[b]{x ^ {a}}\)</p> - <br /> - <p class="math">\(x ^ {a} x ^ {b} = x ^ {a + b}\)</p> - <p class="math">\(\frac{x ^ {a}}{x ^ {b}} = x ^ {a - b}\)</p> - <p class="math">\(x ^ {a} y ^ {a} = (x y) ^ {a}\)</p> - <p class="math">\(\frac{x ^ {a}}{y ^ {a}} = (\frac{x}{y}) ^ {a}\)</p> - <p class="math">\((x ^ {a}) ^ {b} = x ^ {a b}\)</p> - </div> - <div class="section"> - <p class="large">Brøker</p> - <p class="math">\(\frac{x}{y} + n = \frac{x + n y}{y}\)</p> - <p class="math">\(\frac{x}{y} + \frac{a}{b} = \frac{x b + a y}{y b}\)</p> - <p class="math">\(\frac{x}{y} n = \frac{x n}{y}\)</p> - <p class="math">\(\frac{x}{y} \frac{a}{b} = \frac{x a}{y b}\)</p> - <p class="math">\(\frac{\frac{x}{y}}{\frac{a}{b}} = \frac{x b}{y a}\)</p> - </div> - </div> - <!--#include virtual="/include/pgftr.shtml"--> - </body> -</html> diff --git a/html/encyclopedia/mathematics/trigonometry.html b/html/encyclopedia/mathematics/trigonometry.html deleted file mode 100644 index b3c7513..0000000 --- a/html/encyclopedia/mathematics/trigonometry.html +++ /dev/null @@ -1,88 +0,0 @@ -<!DOCTYPE html> -<html lang="da"> - <!--#include virtual="/include/head.shtml"--> - <head> - <script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script> - <script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script> - </head> - <body> - <!--#include virtual="/include/pghdr.shtml"--> - <div class="content"> - <p class="pagePath"><a href="/html/encyclopedia.html">encyclopedia</a> / <a href="/html/encyclopedia.html#mathematics">mathematics</a> / <a href="/html/encyclopedia/mathematics/trigonometry.html">conjugation</a></p> - <p class="pageTitle">Leksikon</p> - <div class="section"> - <p class="math">\(modliggende_{\angle A} = hosliggende_{\angle B} = a\)</p> - <p class="math">\(hosliggende_{\angle A} = modliggende_{\angle B} = b\)</p> - <p class="math">\(hypotenuse = modliggende_{\angle C} = c\)</p> - <br /> - <p>Forkortelser:</p> - <p class="math">\(sin_{sinus}\)</p> - <p class="math">\(cos_{cosinus}\)</p> - <p class="math">\(tan_{tangens}\)</p> - <p class="math">\(cot_{cotangens}\)</p> - <p class="math">\(csc_{cosekant}\)</p> - <p class="math">\(sec_{sekant}\)</p> - <br /> - <p class="math">\(sin(\theta) = \frac{modliggende}{hypotenuse}\)</p> - <p class="math">\(cos(\theta) = \frac{hosliggende}{hypotenuse}\)</p> - <p class="math">\(tan(\theta) = \frac{modliggende}{hosliggende}\)</p> - <p class="math">\(cot(\theta) = \frac{hosliggende}{modliggende}\)</p> - <p class="math">\(csc(\theta) = \frac{hypotenuse}{modliggende}\)</p> - <p class="math">\(sec(\theta) = \frac{hypotenuse}{hosliggende}\)</p> - <br /> - <p class="math">\(x = f ^ {-1} (f(x))\)</p> - <p class="math">\(sin ^ {-1} (\frac{modliggende}{hypotenuse}) = \theta\)</p> - <p class="math">\(cos ^ {-1} (\frac{hosliggende}{hypotenuse}) = \theta\)</p> - <p class="math">\(tan ^ {-1} (\frac{modliggende}{hosliggende}) = \theta\)</p> - <p class="math">\(cot ^ {-1} (\frac{hosliggende}{modliggende}) = \theta\)</p> - <p class="math">\(csc ^ {-1} (\frac{hypotenuse}{modliggende}) = \theta\)</p> - <p class="math">\(sec ^ {-1} (\frac{hypotenuse}{hosliggende}) = \theta\)</p> - <br /> - <p class="math">\(arcsin = sin ^ {-1}\)</p> - <p class="math">\(arccos = cos ^ {-1}\)</p> - <p class="math">\(arctan = tan ^ {-1}\)</p> - <p class="math">\(arccot = cot ^ {-1}\)</p> - <p class="math">\(arcsec = sec ^ {-1}\)</p> - <p class="math">\(arccsc = csc ^ {-1}\)</p> - <br /> - <p class="math">\(deg(rad) = \frac{x}{\frac{\pi}{180}}\)</p> - <p class="math">\(rad(deg) = \frac{x}{\frac{180}{\pi}}\)</p> - <br /> - <p class="math">\(vinkelsum(x) = \pi(x - 2)\)</p> - <p class="math">\(vinkelsum(3) = \pi(3 - 2) = \pi(1) = \pi\)</p> - <br /> - <p class="math">\(\angle A = sin ^ {-1} (\frac{a}{c}) = cos ^ {-1} (\frac{b}{c}) = tan ^ {-1} (\frac{a}{b}) = vinkelsum(3) - \angle B - \angle C\)</p> - <p class="math">\(\angle B = sin ^ {-1} (\frac{b}{c}) = cos ^ {-1} (\frac{a}{c}) = tan ^ {-1} (\frac{b}{a}) = vinkelsum(3) - \angle A - \angle C\)</p> - <p class="math">\(\angle C = vinkelsum(3) - \angle A - \angle B\)</p> - <p>I en regulær trekant:</p> - <p class="math">\(\angle A = \angle B = \angle C\)</p> - <p>I en retvinklet trekant:</p> - <p class="math">\(\angle C = \frac{\pi}{2}\)</p> - <br /> - <p class="math">\(a = c ⋅ sin(\angle A) = c ⋅ cos(\angle B) = b ⋅ tan(\angle A) = b ⋅ cot(\angle B)\)</p> - <p class="math">\(b = c ⋅ sin(\angle B) = c ⋅ cos(\angle A) = a ⋅ tan(\angle B) = a ⋅ cot(\angle A)\)</p> - <p class="math">\(c = a ⋅ csc(\angle A) = b ⋅ csc(\angle B) = a ⋅ sec(\angle B) = b ⋅ sec(\angle A)\)</p> - <p>I en regulær trekant:</p> - <p class="math">\(a = b = c\)</p> - <p>I en retvinklet trekant:</p> - <p class="math">\(c = \sqrt[2]{a ^ 2 + b ^ 2}\)</p> - <p>I en retvinklet trekant, hvori kateterne har samme længde:</p> - <p class="math">\(a = b = \sqrt[2]{\frac{c ^ 2}{2}}\)</p> - <br /> - <p class="math">\(O = a + b + c\)</p> - <p class="math">\(A = \frac{b ⋅ h}{2}\)</p> - <p>Mellem to ligedannet trekanter:</p> - <p class="math">\(\angle A_{1} = \angle A_{0}\)</p> - <p class="math">\(\angle B_{1} = \angle B_{0}\)</p> - <p class="math">\(\angle C_{1} = \angle C_{0}\)</p> - <p class="math">\(k = \frac{a_{1}}{a_{0}} = \frac{b_{1}}{b_{0}} = \frac{c_{1}}{c_{0}}\)</p> - <p class="math">\(a_{1} = a_{0} k\)</p> - <p class="math">\(b_{1} = b_{0} k\)</p> - <p class="math">\(c_{1} = c_{0} k\)</p> - <p class="math">\(O_{1} = O_{0} k\)</p> - <p class="math">\(A_{1} = A_{0} k ^ 2\)</p> - </div> - </div> - <!--#include virtual="/include/pgftr.shtml"--> - </body> -</html> |