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geometry

  

TangentLine

  

find the tangents of a point with respect to a circle

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

TangentLine(obj, P, c, n)

Parameters

obj

-

name

P

-

point

c

-

circle

n

-

(optional) list of two names

Description

• 

The routine finds the tangent line(s) of point P with respect to circle c

• 

The output is obj which is assigned to a list of two lines (two tangent lines), or a line (one tangent line), or nothing (there is no tangent).

• 

If the third optional argument is given and in case there exists two tangent lines, the names of the tangent lines are the two elements in the list.

• 

For more details on the tangent, use detail.

• 

The command with(geometry,TangentLine) allows the use of the abbreviated form of this command.

Examples

withgeometry:

pointA,1,1,circlec,a2+b2=1,a,b

A,c

(1)

TangentLineobj,A,c,l1,l2

l1,l2

(2)

forml1,Equationl1

line2d,1+a=0

(3)

forml2,Equationl2

line2d,1b=0

(4)

See Also

geometry[tangentpc]

 


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