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== | ==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. | 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== | ==Preview== | ||
| − | + | Examples in GeoGebra [https://www.geogebra.org/m/jvXBfFY6 https://www.geogebra.org/m/jvXBfFY6] | |
| + | |||
==Useful Formulas== | ==Useful Formulas== | ||
| + | <small> | ||
{| class="pretty" | {| class="pretty" | ||
! Usage !! LaTex Input !! LaTex Output | ! Usage !! LaTex Input !! LaTex Output | ||
| Line 26: | Line 29: | ||
| Use \cr for a line break | | Use \cr for a line break | ||
| x=3 \cr y=2 | | x=3 \cr y=2 | ||
| − | | <math>\begin{array} | + | | <math>\begin{array} x=3 \\ y=2 \end{array}</math> |
|- | |- | ||
| Use \text{ } to mix text and expressions | | Use \text{ } to mix text and expressions | ||
| − | | \text{ | + | | \text{Roots of }ax^2 + bx + c= 0\text{ are }x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} |
| − | | <math>\text{ | + | | <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 | | Slope for a straight line | ||
| Line 38: | Line 41: | ||
| Slope for a straight line (2) | | 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} | ||
| − | | <math> m= \frac{Δy}{Δx}=\frac{y_A-y_B}{x_A-x_B}</math> | + | | <math>m= \frac{Δy}{Δx}=\frac{y_A-y_B}{x_A-x_B}</math> |
|- | |- | ||
| Compound Interest | | Compound Interest | ||
| − | | Amount = Principal \cdot \left( 1 + \frac {rate}{periods} \right) ^ {time | + | | Amount = Principal \cdot \left( 1 + \frac {rate}{periods} \right) ^ {time \cdot periods} |
| − | |<math>Amount = Principal \cdot \left( 1 + \frac {rate}{periods} \right) ^ {time | + | |<math>Amount = Principal \cdot \left( 1 + \frac {rate}{periods} \right) ^ {time \cdot periods}</math> |
|- | |- | ||
| Quadratic Equation | | Quadratic Equation | ||
| − | | a x^2 | + | | a x^2 + b x + c = 0 |
| <math>a x^2 + b x + c = 0</math> | | <math>a x^2 + b x + c = 0</math> | ||
|- | |- | ||
| Simplified Quadratic Equation | | Simplified Quadratic Equation | ||
| − | | x^2 | + | | x^2 + p x + q = 0 |
| <math>x^2 + p x + q = 0</math> | | <math>x^2 + p x + q = 0</math> | ||
|- | |- | ||
| Vertex Form | | Vertex Form | ||
| − | | f(x) | + | | f(x) = a(x - h)^2 + k |
| <math> f(x) = a(x - h)^2 + k</math> | | <math> f(x) = a(x - h)^2 + k</math> | ||
|- | |- | ||
| Factored Form | | Factored Form | ||
| − | | f(x) | + | | f(x) = (x + a)(x + b) |
| − | | <math>f(x) | + | | <math>f(x) = (x + a)(x + b)</math> |
|- | |- | ||
| Quadratic Formula | | Quadratic Formula | ||
| − | | x | + | | x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} |
| − | | <math>x | + | | <math>x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a}</math> |
|- | |- | ||
| Quadratic Formula | | Quadratic Formula | ||
| − | | x_{1/2} | + | | x_{1/2} = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} |
| − | | <math>x_{1/2} | + | | <math>x_{1/2} = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a}</math> |
|- | |- | ||
| Quadratic Formula for Simplified Quadratic Equation | | Quadratic Formula for Simplified Quadratic Equation | ||
| − | | x_{1/2} | + | | x_{1/2} = - \frac{p}{2}{ \pm \sqrt {\left( \frac{p}{2} \right)^2 - q}} |
| − | | <math>x_{1/2} | + | | <math>x_{1/2} = - \frac{p}{2}{ \pm \sqrt {\left( \frac{p}{2} \right)^2 - q}}</math> |
|- | |- | ||
| Quadratic Formula for Simplified Quadratic Equation | | Quadratic Formula for Simplified Quadratic Equation | ||
| − | | x_{1/2} | + | | x_{1/2} = - \frac{p}{2}{ \pm \sqrt {\left( \frac{p}{2} \right)^2 - q}} |
| − | | <math>x_{1/2} | + | | <math>x_{1/2} = - \frac{p}{2}{ \pm \sqrt { \frac{p^2}{4} - q}}</math> |
|- | |- | ||
| Cubic Equation | | Cubic Equation | ||
| − | | a x^3 | + | | a x^3 + b x^2 + c x + d = 0 |
| − | | <math>a x^3 | + | | <math>a x^3 + b x^2 + c x + d = 0</math> |
|- | |- | ||
| Basic Trigonometry Forms | | Basic Trigonometry Forms | ||
| Line 85: | Line 88: | ||
|- | |- | ||
| | | | ||
| − | | f(x) | + | | f(x) = a \sin b (x - h) + k |
| − | | <math>f(x) | + | | <math>f(x) = a \sin b (x - h) + k</math> |
|- | |- | ||
| | | | ||
| − | | f(x) | + | | f(x) = a sin (B x + C) + k |
| − | | <math>f(x) | + | | <math>f(x) = a \sin (B x + C) + k</math> |
|- | |- | ||
| | | | ||
| − | | b | + | | b (x - h) = B \left( x - \frac {-C}{B} \right) |
| − | | <math>b | + | | <math>b (x - h) = B \left( x - \frac {-C}{B} \right)</math> |
|- | |- | ||
| | | | ||
| − | | h | + | | h = \frac {-C}{B} |
| − | | <math>h | + | | <math>h = \frac {-C}{B}</math> |
|- | |- | ||
| Limit (corrected to work in HTML5 as well as Java) | | Limit (corrected to work in HTML5 as well as Java) | ||
| Line 108: | Line 111: | ||
| <math>\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}</math> | | <math>\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}</math> | ||
|} | |} | ||
| + | |||
==Text formatting== | ==Text formatting== | ||
| + | <small> | ||
{| class="pretty" | {| class="pretty" | ||
! Usage !! LaTex Input !! LaTex Output | ! Usage !! LaTex Input !! LaTex Output | ||
| Line 121: | Line 126: | ||
|- | |- | ||
| Bold text | | Bold text | ||
| − | | \mathbf{ | + | | \mathbf{bold text} |
| <math>\mathbf{bold text}</math> | | <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} |
