Difference between revisions of "OsculatingCircle Command"

Revision as of 10:57, 28 July 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.

Example: OsculatingCircle[(-1, 0), Conic[{1, 1, 1, 2, 2, 3}]] yields x² + y² + 2x +1y = -1.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=4.2}}</noinclude>{{command|other}}
-{{command|other}}
+;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''.}}
-; 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[(1, 0), Curve[cos(t), sin(2t), t, 0, 2π]]</nowiki></code> yields ''x² + y² + 6x = 7''.}}
+{{betamanual|version=5.0|{{Note|1=From GeoGebra 5, this command will work with conics as well.
+:{{example|1=<code><nowiki>OsculatingCircle[(-1, 0), Conic[{1, 1, 1, 2, 2, 3}]]</nowiki></code> yields ''x² + y² + 2x +1y = -1''.}}}}
+}}