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geom3d[ScrewDisplacement] - find the screw-displacement of a geometric object.
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Calling Sequence
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ScrewDisplacement(Q, P, theta, l, AB)
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Parameters
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Q
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the name of the object to be created
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P
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geometric object
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theta
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angle of rotation
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l
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the axis of rotation
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AB
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directed segment
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Description
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A screw-displacement is the product of a rotation and a translation along the axis of rotation.
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For a detailed description of Q (the object created), use the routine detail (i.e., detail(Q);)
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The command with(geom3d,ScrewDisplacement) allows the use of the abbreviated form of this command.
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Examples
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![point(o, 0, 0, 0), point(z, 0, 0, 2), dsegment(seg, [o, z]), line(l, [o, z])](/support/helpjp/helpview.aspx?si=5974/file03992/math105.png)
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![triangle(T, [point(A, 0, 0, 1), point(B, 2, 1, 0), point(C, 4, 3, 0)])](/support/helpjp/helpview.aspx?si=5974/file03992/math109.png)
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Define the screw-displacement of triangle T
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![[[0, 0, 3], [-2, -1, 2], [-4, -3, 2]]](/support/helpjp/helpview.aspx?si=5974/file03992/math125.png)
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Plotting:
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![draw([T(color = blue), T1(color = red), l(thickness = 3)], orientation = [122, 73], title = `Screw-displacement of a triangle`, style = patch)](/support/helpjp/helpview.aspx?si=5974/file03992/math131.png)
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