closest point of arbitrary conic to origin in 3D
Robert Lewis
lewis at bway.net
Wed Sep 11 16:33:25 PDT 2002
Is anyone aware of symbolic equations to give the point on a conic
in 3D closest to the origin? (Assume the conic doesn't touch 0). The
conic could have equation
b1*x^2 + b2*y^2 + b3*z^2 + b4*x*y + b5*x*z + b6*y*z + b7*x + b8*y
+ b9*z + b10 = 0
We want a polynomial equation for say, x, that the x coordinate of
the closest point must satisfy in terms of the symbolic parameters bi.
Similarly for y and z.
Robert H. Lewis
Mathematics Department
Fordham University
New York NY
www.bway.net/~lewis
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