Difference between revisions of "OsculatingCircle Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|other}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|other}} | ||
| − | ;OsculatingCircle | + | ;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 | + | ;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[(1, 0), Curve[cos(t), sin(2t), t, 0, 2π]]</nowiki></code> yields ''x² + y² + 6x = 7''.}} | :{{example|1=<code><nowiki>OsculatingCircle[(1, 0), Curve[cos(t), sin(2t), t, 0, 2π]]</nowiki></code> yields ''x² + y² + 6x = 7''.}} | ||
| − | ;OsculatingCircle | + | ;OsculatingCircle( <Point>, <Object> ) |
: 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> | ||
Revision as of 17:17, 7 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
