Difference between revisions of "Conic sections"
From GeoGebra Manual
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| − | <noinclude>{{Manual Page}}</noinclude> | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{objects|geometric}} |
| − | {{objects|geometric}} | + | You may enter a conic section as a quadratic equation in x and y. Prior defined variables (e.g. numbers, points, vectors) can be used within the conic’s equation. |
| − | You may enter a conic section as a quadratic equation in x and y. Prior defined variables (e. g. | + | {{Note| The conic section’s name can be entered at the beginning of the input, followed by a colon.}} |
| − | Note | ||
==Examples== | ==Examples== | ||
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| − | {{note|If you define two parameters | + | {{note|1=If you define two parameters ''a = 4'' and ''b = 3'' in advance, you may enter for example an ellipse as <code>ell: b^2 x^2 + a^2 y^2 = a^2 b^2</code>.}} |
Latest revision as of 14:47, 26 August 2015
You may enter a conic section as a quadratic equation in x and y. Prior defined variables (e.g. numbers, points, vectors) can be used within the conic’s equation.
Note: The conic section’s name can be entered at the beginning of the input, followed by a colon.
Examples
| Conic section | Input |
|---|---|
| Ellipse ell | ell: 9 x^2 + 16 y^2 = 144 |
| Hyperbola hyp | hyp: 9 x^2 – 16 y^2 = 144 |
| Parabola par | par: y^2 = 4 x |
| Circle c1 | c1: x^2 + y^2 = 25 |
| Circle c2 | c2: (x – 5)^2 + (y + 2)^2 = 25 |
Note: If you define two parameters a = 4 and b = 3 in advance, you may enter for example an ellipse as
ell: b^2 x^2 + a^2 y^2 = a^2 b^2.
