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[MUG] Re: 2d tangents
| [MUG] Re: 2d tangents |
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Author: Robert Israel
Posted: Thu, 30 May 2002 16:12:12 -0700
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>> From: Robert Israel "israel"
In Maple 8 you could compute the tangent line using the
procedure TangentLine in the new VectorCalculus package.
Otherwise, just compute it yourself: if it's a
parametric curve x = X(t), y = Y(t), the tangent line at
t=t0 is parametrically
x = X(t0) + D(X)(t0)*s, y = Y(t0) + D(Y)(t0)*s.
Or if the curve is given implicitly by F(x,y) = c and
[x0,y0] is a point on the curve where the gradient of F
is nonzero, the tangent line is given implicitly by
(x-x0)*D[1](F)(x0,y0) + (y-y0)*D[2](F)(x0,y0) = 0
or parametrically by
x = x0 + s*D[2](F)(x0,y0), y = y0 - s*D[2](F)(x0,y0).
Robert Israel "israel"
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia
Vancouver, BC, Canada V6T 1Z2
On Mon, 27 May 2002, Dr. U. Kasper wrote:
> Hello, users!
>
> Does anyone outside there know of a package helping to plot the tangent to
> a 2d curve (not being a circle) at a given point?
>
> Thank you in advance for trying to help me.
> Best regards,
> U. Kasper
>
>
>
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