Difference between revisions of "OsculatingCircle Command"
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:*<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>}} | ||
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Revision as of 11:04, 29 July 2015
- 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
