Difference between revisions of "OsculatingCircle Command"
From GeoGebra Manual
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;OsculatingCircle[ <Point>, <Function> ] | ;OsculatingCircle[ <Point>, <Function> ] | ||
:Yields the osculating circle of the function in the given point. | :Yields the osculating circle of the function in the given point. | ||
− | :{{example|1=<code><nowiki>OsculatingCircle[(0,0), x^2]</nowiki></code> yields ''x² + y² - y = 0''.}} | + | :{{example|1=<code><nowiki>OsculatingCircle[(0, 0), x^2]</nowiki></code> yields ''x² + y² - y = 0''.}} |
;OsculatingCircle[ <Point>, <Curve> ] | ;OsculatingCircle[ <Point>, <Curve> ] | ||
:Yields the osculating circle of the curve in the given point. | :Yields the osculating circle of the curve in the given point. | ||
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: Yields the osculating circle of the object (function, curve, conic) in the given point. | : Yields the osculating circle of the object (function, curve, conic) in the given point. | ||
:{{examples|1=<div> | :{{examples|1=<div> | ||
− | :*<code><nowiki>OsculatingCircle[(0 ,0), x^2]</nowiki></code> yields ''x² + y² - y = 0'' | + | :*<code><nowiki>OsculatingCircle[(0, 0), x^2]</nowiki></code> yields ''x² + y² - y = 0'' |
:*<code><nowiki>OsculatingCircle[(1, 0), Curve[cos(t), sin(2t), t, 0, 2π]]</nowiki></code> yields ''x² + y² + 6x = 7'' | :*<code><nowiki>OsculatingCircle[(1, 0), Curve[cos(t), sin(2t), t, 0, 2π]]</nowiki></code> yields ''x² + y² + 6x = 7'' | ||
− | :*<code><nowiki>OsculatingCircle[(-1, 0), Conic[{1, 1, 1, 2, 2, 3}]]</nowiki></code> yields ''x² + y² + 2x +1y = -1''</div>}} | + | :*<code><nowiki>OsculatingCircle[(-1, 0), Conic[{1, 1, 1, 2, 2, 3}]]</nowiki></code> yields ''x² + y² + 2x + 1y = -1''</div>}} |
}} | }} |
Revision as of 08:26, 25 August 2014
- OsculatingCircle[ <Point>, <Function> ]
- Yields the osculating circle of the function in the given point.
- Example:
OsculatingCircle[(0, 0), x^2]
yields x² + y² - y = 0.
- OsculatingCircle[ <Point>, <Curve> ]
- Yields the osculating circle of the curve in the given point.
- Example:
OsculatingCircle[(1, 0), Curve[cos(t), sin(2t), t, 0, 2π]]
yields x² + y² + 6x = 7.
Following text is about a feature that is supported only in GeoGebra 5.0.
Note: From GeoGebra 5, this command will work with conics as well.
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