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geometry

  

intersection

  

find the intersections between two lines, a line and a circle, or two circles

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

intersection(obj, f, g, s)

Parameters

obj

-

name

f, g

-

the lines or circles

s

-

(optional) list of two names

Description

• 

The routine finds the intersection between two lines, a line and a circle, or two circles.

• 

The output is obj which is assigned to a list of two points (two points of intersection), or a point (one point of intersection), or nothing (there is no point of intersection).

• 

If the argument s is given and in case there exists two points of intersection, the names of the two points are the two elements in the list.

• 

For more details on the point(s) of intersection, use detail.

• 

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

Examples

withgeometry:

linel1,x=0,x,y,linel2,x+y=1,x,y:

circlec,x2+y2=1,x,y:

intersectionG,l1,l2

G

(1)

intersectionH,l2,c,M,N

M,N

(2)

coordinatesG

0,1

(3)

detailH

name of the objectMform of the objectpoint2dcoordinates of the point0,1,name of the objectNform of the objectpoint2dcoordinates of the point1,0

(4)

circlec1,pointo,12,0,1,x,y:

intersectionH1,c,c1,U,V:

detailH1

name of the objectUform of the objectpoint2dcoordinates of the point14,154,name of the objectVform of the objectpoint2dcoordinates of the point14,154

(5)

See Also

geometry[circle]

geometry[line]

 


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