OsculatingCircle Command

From GeoGebra Manual
Revision as of 17:15, 28 September 2019 by Murkle (talk | contribs) (* This command is for 2D objects only. For 3D, you can make a custom tool for example https://www.geogebra.org/m/tan7dxjt)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search


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 = 0
  • OsculatingCircle((1, 0), Curve(cos(t), sin(2t), t, 0, 2π)) yields x² + y² + 6x = 7
  • OsculatingCircle((-1, 0), Conic({1, 1, 1, 2, 2, 3})) yields x² + y² + 2x + 1y = -1


Note:
© 2024 International GeoGebra Institute