test if a plane is tangent to a sphere - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Geometry : 3-D Euclidean : Sphere Functions : geom3d/IsTangent

geom3d[IsTangent] - test if a plane is tangent to a sphere

Calling Sequence

IsTangent(p, s)

Parameters

p

-

plane

s

-

sphere

Description

• 

The routine returns true if the plane p is tangent to the sphere s; false if they are not; and FAIL if it is unable to reach a conclusion.

• 

In case of FAIL, if the third optional argument is given, the condition that makes p tangent to s is assigned to this argument.

• 

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

Examples

withgeom3d:

spheres,pointo,0,0,1,1

s

(1)

Find the condition that makes the plane ax+by+cz+d=0 tangent to the sphere s

assumea0

planep,ax+by+cz+d=0,x,y,z

p

(2)

IsTangentp,s,'condition'

IsTangent:   "unable to determine if 1-abs(c+d)/(a^2+b^2+c^2)^(1/2) is zero"

FAIL

(3)

Hence, the condition is:

condition

1c+da~2+b2+c2=0

(4)

See Also

geom3d[TangentPlane]


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam