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Subject: Re: calculate a parabola from 5 diff points


Author:
QUITTNER
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Date Posted: 11:36:38 06/17/04 Thu
In reply to: QUITTNER 's message, "Re: calculate a parabola from 5 diff points" on 10:19:03 05/27/04 Thu

By the way, some people use A+Bx+Cx^2 as a general equation of what they call a parabola.
..... A REAL parabola is NOT the same as that, but is defined as a curve, all of whose points are at the SAME distance from a given line and from a given point, called the "Focal Point". The equation of a special kind of parabola is (y-A)^2=K*(x-B), with, in an even more special case, A and B are both zero.
..... If there are 3 unknowns then you need 3 simultaneous equations to solve (can be quite dificult!) for these unknowns.

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