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);
 ${\mathrm{T1}}$ (1)
 > map(coordinates,DefinedAs(T1));
 $\left[\left[{0}{,}{0}{,}{3}\right]{,}\left[{-}{2}{,}{-}{1}{,}{2}\right]{,}\left[{-}{4}{,}{-}{3}{,}{2}\right]\right]$ (2)

Plotting:

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