Difference between revisions of "Comments:LaTeX-code for the most common formulas"
From GeoGebra Manual
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− | + | {{DISPLAYTITLE:LaTeX code for the most common formulas}} | |
− | == | + | If you have somewhere a very long formula, please share it with us. This will save time for everybody!'' Just edit this page and paste you code at inside the input-box, if you don't know how to use the wiki-code correctly. |
− | + | ==How to use the formulas== | |
− | + | Just copy the text from the column '''LaTex Input''' into your text-object input-box. If the formula should be dynamic you need to insert the object instead of the variables that are used here. | |
− | + | ==Preview== | |
+ | Examples in GeoGebra [https://www.geogebra.org/m/jvXBfFY6 https://www.geogebra.org/m/jvXBfFY6] | ||
− | == | + | ==Useful Formulas== |
− | + | <small> | |
+ | {| class="pretty" | ||
+ | ! Usage !! LaTex Input !! LaTex Output | ||
+ | |- | ||
+ | | Square-root symbol | ||
+ | | \sqrt{x} | ||
+ | | <math>\sqrt{x}</math> | ||
+ | |- | ||
+ | | Fractions | ||
+ | | \frac{a}{b+c} | ||
+ | | <math>\frac{a}{b+c}</math> | ||
+ | |- | ||
+ | | \left( and \right) for large brackets | ||
+ | | \left( \frac{a}{b} \right) ^{2} | ||
+ | | <math>\left( \frac{a}{b} \right) ^{2}</math> | ||
+ | |- | ||
+ | | Use \textcolor for color | ||
+ | | x^{\textcolor{#FF00FF}{2}} | ||
+ | | | ||
+ | |- | ||
+ | | Use \cr for a line break | ||
+ | | x=3 \cr y=2 | ||
+ | | <math>\begin{array} x=3 \\ y=2 \end{array}</math> | ||
+ | |- | ||
+ | | Use \text{ } to mix text and expressions | ||
+ | | \text{Roots of }ax^2 + bx + c= 0\text{ are }x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} | ||
+ | | <math>\text{Roots of }ax^2 + bx + c= 0 \text{ are }</math><br><math>x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a}</math> | ||
+ | |- | ||
+ | | Slope for a straight line | ||
+ | | m=\frac{y_2-y_1}{x_2-x_1} | ||
+ | | <math>m=\frac{y_2-y_1}{x_2-x_1}</math> | ||
+ | |- | ||
+ | | Slope for a straight line (2) | ||
+ | | m= \frac{Δy}{Δx}=\frac{y_A-y_B}{x_A-x_B} | ||
+ | | <math>m= \frac{Δy}{Δx}=\frac{y_A-y_B}{x_A-x_B}</math> | ||
+ | |- | ||
+ | | Compound Interest | ||
+ | | Amount = Principal \cdot \left( 1 + \frac {rate}{periods} \right) ^ {time \cdot periods} | ||
+ | |<math>Amount = Principal \cdot \left( 1 + \frac {rate}{periods} \right) ^ {time \cdot periods}</math> | ||
+ | |- | ||
+ | | Quadratic Equation | ||
+ | | a x^2 + b x + c = 0 | ||
+ | | <math>a x^2 + b x + c = 0</math> | ||
+ | |- | ||
+ | | Simplified Quadratic Equation | ||
+ | | x^2 + p x + q = 0 | ||
+ | | <math>x^2 + p x + q = 0</math> | ||
+ | |- | ||
+ | | Vertex Form | ||
+ | | f(x) = a(x - h)^2 + k | ||
+ | | <math> f(x) = a(x - h)^2 + k</math> | ||
+ | |- | ||
+ | | Factored Form | ||
+ | | f(x) = (x + a)(x + b) | ||
+ | | <math>f(x) = (x + a)(x + b)</math> | ||
+ | |- | ||
+ | | Quadratic Formula | ||
+ | | x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} | ||
+ | | <math>x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a}</math> | ||
+ | |- | ||
+ | | Quadratic Formula | ||
+ | | x_{1/2} = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} | ||
+ | | <math>x_{1/2} = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a}</math> | ||
+ | |- | ||
+ | | Quadratic Formula for Simplified Quadratic Equation | ||
+ | | x_{1/2} = - \frac{p}{2}{ \pm \sqrt {\left( \frac{p}{2} \right)^2 - q}} | ||
+ | | <math>x_{1/2} = - \frac{p}{2}{ \pm \sqrt {\left( \frac{p}{2} \right)^2 - q}}</math> | ||
+ | |- | ||
+ | | Quadratic Formula for Simplified Quadratic Equation | ||
+ | | x_{1/2} = - \frac{p}{2}{ \pm \sqrt {\left( \frac{p}{2} \right)^2 - q}} | ||
+ | | <math>x_{1/2} = - \frac{p}{2}{ \pm \sqrt { \frac{p^2}{4} - q}}</math> | ||
+ | |- | ||
+ | | Cubic Equation | ||
+ | | a x^3 + b x^2 + c x + d = 0 | ||
+ | | <math>a x^3 + b x^2 + c x + d = 0</math> | ||
+ | |- | ||
+ | | Basic Trigonometry Forms | ||
+ | | \sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c) | ||
+ | | <math>\sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c)</math> | ||
+ | |- | ||
+ | | | ||
+ | | f(x) = a \sin b (x - h) + k | ||
+ | | <math>f(x) = a \sin b (x - h) + k</math> | ||
+ | |- | ||
+ | | | ||
+ | | f(x) = a sin (B x + C) + k | ||
+ | | <math>f(x) = a \sin (B x + C) + k</math> | ||
+ | |- | ||
+ | | | ||
+ | | b (x - h) = B \left( x - \frac {-C}{B} \right) | ||
+ | | <math>b (x - h) = B \left( x - \frac {-C}{B} \right)</math> | ||
+ | |- | ||
+ | | | ||
+ | | h = \frac {-C}{B} | ||
+ | | <math>h = \frac {-C}{B}</math> | ||
+ | |- | ||
+ | | Limit (corrected to work in HTML5 as well as Java) | ||
+ | | \lim_{x \to \infty} \left( \frac{1}{x} \right) | ||
+ | | <math>\lim_{x \to \infty} \left( \frac{1}{x} \right)</math> | ||
+ | |- | ||
+ | | Distance Formula | ||
+ | | \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} | ||
+ | | <math>\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}</math> | ||
+ | |} | ||
− | == | + | ==Text formatting== |
− | + | <small> | |
− | + | {| class="pretty" | |
− | <math> | + | ! Usage !! LaTex Input !! LaTex Output |
+ | |- | ||
+ | | Text with spacing | ||
+ | | \text{some words with spaces} | ||
+ | | <math>\text{some words with spaces}</math> | ||
+ | |- | ||
+ | | Italic text | ||
+ | | \mathit{italic text} | ||
+ | | <math>\mathit{italic text}</math> | ||
+ | |- | ||
+ | | Bold text | ||
+ | | \mathbf{bold text} | ||
+ | | <math>\mathbf{bold text}</math> | ||
+ | |- | ||
+ | </small> |
Latest revision as of 10:54, 11 January 2020
If you have somewhere a very long formula, please share it with us. This will save time for everybody! Just edit this page and paste you code at inside the input-box, if you don't know how to use the wiki-code correctly.
How to use the formulas
Just copy the text from the column LaTex Input into your text-object input-box. If the formula should be dynamic you need to insert the object instead of the variables that are used here.
Preview
Examples in GeoGebra https://www.geogebra.org/m/jvXBfFY6
Useful Formulas
Usage | LaTex Input | LaTex Output |
---|---|---|
Square-root symbol | \sqrt{x} | \sqrt{x} |
Fractions | \frac{a}{b+c} | \frac{a}{b+c} |
\left( and \right) for large brackets | \left( \frac{a}{b} \right) ^{2} | \left( \frac{a}{b} \right) ^{2} |
Use \textcolor for color | x^{\textcolor{#FF00FF}{2}} | |
Use \cr for a line break | x=3 \cr y=2 | \begin{array} x=3 \\ y=2 \end{array} |
Use \text{ } to mix text and expressions | \text{Roots of }ax^2 + bx + c= 0\text{ are }x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} | \text{Roots of }ax^2 + bx + c= 0 \text{ are } x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} |
Slope for a straight line | m=\frac{y_2-y_1}{x_2-x_1} | m=\frac{y_2-y_1}{x_2-x_1} |
Slope for a straight line (2) | m= \frac{Δy}{Δx}=\frac{y_A-y_B}{x_A-x_B} | m= \frac{Δy}{Δx}=\frac{y_A-y_B}{x_A-x_B} |
Compound Interest | Amount = Principal \cdot \left( 1 + \frac {rate}{periods} \right) ^ {time \cdot periods} | Amount = Principal \cdot \left( 1 + \frac {rate}{periods} \right) ^ {time \cdot periods} |
Quadratic Equation | a x^2 + b x + c = 0 | a x^2 + b x + c = 0 |
Simplified Quadratic Equation | x^2 + p x + q = 0 | x^2 + p x + q = 0 |
Vertex Form | f(x) = a(x - h)^2 + k | f(x) = a(x - h)^2 + k |
Factored Form | f(x) = (x + a)(x + b) | f(x) = (x + a)(x + b) |
Quadratic Formula | x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} | x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} |
Quadratic Formula | x_{1/2} = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} | x_{1/2} = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} |
Quadratic Formula for Simplified Quadratic Equation | x_{1/2} = - \frac{p}{2}{ \pm \sqrt {\left( \frac{p}{2} \right)^2 - q}} | x_{1/2} = - \frac{p}{2}{ \pm \sqrt {\left( \frac{p}{2} \right)^2 - q}} |
Quadratic Formula for Simplified Quadratic Equation | x_{1/2} = - \frac{p}{2}{ \pm \sqrt {\left( \frac{p}{2} \right)^2 - q}} | x_{1/2} = - \frac{p}{2}{ \pm \sqrt { \frac{p^2}{4} - q}} |
Cubic Equation | a x^3 + b x^2 + c x + d = 0 | a x^3 + b x^2 + c x + d = 0 |
Basic Trigonometry Forms | \sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c) | \sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c) |
f(x) = a \sin b (x - h) + k | f(x) = a \sin b (x - h) + k | |
f(x) = a sin (B x + C) + k | f(x) = a \sin (B x + C) + k | |
b (x - h) = B \left( x - \frac {-C}{B} \right) | b (x - h) = B \left( x - \frac {-C}{B} \right) | |
h = \frac {-C}{B} | h = \frac {-C}{B} | |
Limit (corrected to work in HTML5 as well as Java) | \lim_{x \to \infty} \left( \frac{1}{x} \right) | \lim_{x \to \infty} \left( \frac{1}{x} \right) |
Distance Formula | \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} | \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} |
Text formatting
Usage | LaTex Input | LaTex Output |
---|---|---|
Text with spacing | \text{some words with spaces} | \text{some words with spaces} |
Italic text | \mathit{italic text} | \mathit{italic text} |
Bold text | \mathbf{bold text} | \mathbf{bold text} |