Difference between revisions of "OsculatingCircle Command"
From GeoGebra Manual
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)") |
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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 | + | :{{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. | ||
− | :{{example|1=<code><nowiki>OsculatingCircle | + | :{{example|1=<code><nowiki>OsculatingCircle((1, 0), Curve(cos(t), sin(2t), t, 0, 2π))</nowiki></code> yields ''x² + y² + 6x = 7''.}} |
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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 | + | :*<code><nowiki>OsculatingCircle((0, 0), x^2)</nowiki></code> yields ''x² + y² - y = 0'' |
− | :*<code><nowiki>OsculatingCircle | + | :*<code><nowiki>OsculatingCircle((1, 0), Curve(cos(t), sin(2t), t, 0, 2π))</nowiki></code> yields ''x² + y² + 6x = 7'' |
− | :*<code><nowiki>OsculatingCircle | + | :*<code><nowiki>OsculatingCircle((-1, 0), Conic({1, 1, 1, 2, 2, 3}))</nowiki></code> yields ''x² + y² + 2x + 1y = -1''</div>}} |
Revision as of 09:40, 9 October 2017
- 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.
- OsculatingCircle( <Point>, <Object> )
- Yields the osculating circle of the object (function, curve, conic) in the given point.
- Examples:
OsculatingCircle((0, 0), x^2)
yields x² + y² - y = 0OsculatingCircle((1, 0), Curve(cos(t), sin(2t), t, 0, 2π))
yields x² + y² + 6x = 7OsculatingCircle((-1, 0), Conic({1, 1, 1, 2, 2, 3}))
yields x² + y² + 2x + 1y = -1