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Let A be a point on the sphere s, the routine returns the tangent plane p of s at A.

For more details on the tangent plane, use detail.

The command with(geom3d,TangentPlane) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{geom3d}\right)\:$

$\mathrm{sphere}\left(s\,\left[\mathrm{point}\left(o\,0\,0\,1\right)\,1\right]\right)$

$s$

$\mathrm{point}\left(A\,0\,0\,0\right)$

$A$

$\mathrm{TangentPlane}\left(p\,A\,s\right)$

$p$

$\mathrm{detail}\left(p\right)$

Warning, assuming that the names of the axes are _x, _y and _z

$\begin{array}{cc}\text{name of the object}& p\\ \text{form of the object}& \mathrm{plane3d}\\ \text{equation of the plane}& \mathrm{\_z}=0\end{array}$