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MathGroup Archive 1998

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Re: Re: Conic Sections and Quadric Surfaces

Does writing the equation for the ellipse in parametric form help?
Carlo Infante
>> Ref: Introduction to Linear Algebra- 4th ed. Johnson,Riess and Arnold
>> (page 35)
>> Find the equation of the conic section passing through the five points
>> (-1,0),(0,1),(2,2),(1,-1), (0,-3). Display the graph of the conic.
>> When I try to set up the augmented matrix I get two (2) indeterminate
>> rows which
>> prevents my proceeding with the method outlined in the textbook Linear
>> Algebra with Mathematica by E. Johnson page 58 to 59. How can  I get
>> around this?The equation to satisfy (an ellipse) is ax^2 + bxy + cy^2 +
>> dx + ey + f =0.  Is there some other technique I can use to find the
>> equation given sevral points?
>> I am presently playing around with Fit[ data,{etc}] but I only know how
>> to fit quadratics. Thank you in advance.
>> Manuel Avalos

Carlo Infante

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