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geom3d

  

ScrewDisplacement

  

find the screw-displacement of a geometric object.

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

ScrewDisplacement(Q, P, theta, l, AB)

Parameters

Q

-

the name of the object to be created

P

-

geometric object

theta

-

angle of rotation

l

-

the axis of rotation

AB

-

directed segment

Description

• 

A screw-displacement is the product of a rotation and a translation along the axis of rotation.

• 

For a detailed description of Q (the object created), use the routine detail (i.e., detail(Q);)

• 

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

Examples

withgeom3d:

pointo,0,0,0,pointz,0,0,2,dsegmentseg,o,z,linel,o,z:

triangleT,pointA,0,0,1,pointB,2,1,0,pointC,4,3,0:

Define the screw-displacement of triangle T

ScrewDisplacementT1,T,π,l,seg

T1

(1)

mapcoordinates,DefinedAsT1

0,0,3,2,1,2,4,3,2

(2)

Plotting:

drawTcolor=blue,T1color=red,lthickness=3,orientation=122,73,title=`Screw-displacement of a triangle`,style=patch

See Also

geom3d[objects]

geom3d[rotation]

geom3d[translation]

 


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