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geom3d

  

Equation

  

equation of a geometric object

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Equation(obj)

Equation(obj, t )

Equation(obj, [x,y,z] )

Parameters

obj

-

the given geometric object

t

-

(optional) the name of the parameter in the parametric equations of a line

[x, y, z]

-

(optional) the names of the axes

Description

• 

The routine returns an algebraic representation of the given geometric object.

• 

Users will be asked to provide the names of the axes or the name of the parameter in the parametric equations (when obj is a line) if they are not assigned to names and if the second optional argument is not given.  See xname for an example of this.

• 

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

Examples

withgeom3d:

pointA,0,0,0,pointB,1,2,3:

Define the line that passes through two points A and B

linel,A,B

l

(1)

The equation of l is:

Equationl,m

m,2m,3m

(2)

pointC,3,7,11:

Define the plane that passes through three given points A, B, C

planep,A,B,C,a,b,c:

Equationp

a2b+c=0

(3)

See Also

geom3d[line]

geom3d[plane]

geom3d[sphere]

geom3d[xname]

 


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