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geometry

  

Pole

  

find the pole of a given line with respect to a given conic or a given circle

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Pole(P, p, c)

Parameters

P

-

the name of the pole of the line

p

-

line

c

-

conic or circle

Description

• 

The pole of a line p with respect to a circle c, center O is the inverse of foot of perpendicular from O to p.  Alternatively, the point of intersection of the polars of any two points on p.

• 

For a detailed description of the pole of P, use the routine detail.

• 

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

Examples

withgeometry:

_EnvHorizontalName'x':_EnvVerticalName'y':

circlec,x2+y2=1,ellipsee,x24+y2=1

c,e

(1)

linel1,3x1=0,linel2,3x41=0

l1,l2

(2)

PoleP1,l1,c

P1

(3)

coordinatesP1

3,0

(4)

PoleP2,l2,e

P2

(5)

coordinatesP2

3,0

(6)

See Also

geometry[HorizontalName]

geometry[Polar]

geometry[VerticalName]

 


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