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geom3d

 TangentPlane
 find the tangent plane of a point on a sphere

 Calling Sequence TangentPlane(p, A, s)

Parameters

 p - name A - point s - sphere

Description

 • 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.

Examples

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

Define a sphere center (0,0,1), radius 1

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

Let A be the south pole of s. Find the tangent plane at A

 > $\mathrm{point}\left(A,0,0,0\right)$
 ${A}$ (2)
 > $\mathrm{TangentPlane}\left(p,A,s\right)$
 ${p}$ (3)
 > $\mathrm{detail}\left(p\right)$
 $\begin{array}{ll}{\text{name of the object}}& {p}\\ {\text{form of the object}}& {\mathrm{plane3d}}\\ {\text{equation of the plane}}& {\mathrm{_z}}{=}{0}\end{array}$ (4)