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geom3d

  

projection

  

find the projection of an object on the other object

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

projection(Q, A, l)

projection(Q, A, p)

projection(Q, seg, p)

projection(Q, l, p)

Parameters

Q

-

the name of the object to be created

A

-

point

seg

-

line segment or a directed line segment

l

-

line

p

-

plane

Description

• 

The routine finds the projection Q of an object on the other object.

• 

For a detailed description of the object to be created Q, use the routine detail (e.g., detail(Q))

• 

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

Examples

withgeom3d:

Find the equations of the projection of the line 12x12=y1=14z34 on the plane x+2y+z=6

linel,pointo,1,1,3,2,1,4:

planep,x+2y+z=6,x,y,z:

projectionl1,l,p

l1

(1)

detaill1

Warning, assume that the parameter in the parametric equations is _t
Warning, assuming that the names of the axes are _x, _y, and _z

name of the objectl1form of the objectline3dequation of the line_x=53+4_t3,_y=137_t3,_z=113+10_t3

(2)

See Also

geom3d[distance]

 


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