IsTangent - Maple Help
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geom3d

  

IsTangent

  

test if a plane is tangent to a sphere

 

Calling Sequence

Parameters

Description

Examples

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]

 


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