Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Get the osculating conic of a plane curve
ResourceFunction["OsculatingConic"][c,{t,t0},{x,y}] gives the implicit equation with variables x and y for the osculating conic of a plane curve c depending on parameter t at t=t0. |
The implicit Cartesian equation for the osculating conic of a deltoid:
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Plot the deltoid and its osculating conic along with their point of contact:
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The osculating conic for a catenary:
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Show three of the osculating conics along with the catenary:
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Use the resource function ConicProperties to get further information on an osculating conic:
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