find the screw-displacement of a geometric object. - Maple Help

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geom3d[ScrewDisplacement] - find the screw-displacement of a geometric object.

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

with(geom3d):

point(o,0,0,0),point(z,0,0,2),dsegment(seg,[o,z]),line(l,[o,z]):

triangle(T,[point(A,0,0,1),point(B,2,1,0),point(C,4,3,0)]):

Define the screw-displacement of triangle T

ScrewDisplacement(T1,T,Pi,l,seg);

T1

(1)

map(coordinates,DefinedAs(T1));

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

(2)

Plotting:

draw([T(color=blue),T1(color=red),l(thickness=3)],orientation=[122,73],
title=`Screw-displacement of a triangle`,style=patch);

See Also

geom3d[objects], geom3d[rotation], geom3d[translation]


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